Answer:
Step-by-step explanation:
0.6821 multiplied by 0.0261 is .01754181
putting that into standard from would be 1.754181 x 10^-2
A man borrows $200 000 to buy a sports car. He is charged a simple interest of
2.88% per annum. If the loan is for 7 years, find the
(a) interest payable
(b) amount of each repayment if the total sum is to repaid in 84 equal
installments.
Answer:
See explanation
Step-by-step explanation:
a) 200,000 x .0288 x 7 = 40,320 interest
b) 240,320/84 = $2860.95
A rectangle has an area of 21x+81. If the width is 3 units, what is the length of the rectangle
Answer:
(7x + 27) units
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides) in which opposite sides are equal and parallel, also all the angles are equal. The area of a rectangle is given as:
Area = Length × Width
Given that the area of the rectangle is 21x + 81 and the width is 3 unit, to find the length of the rectangle, we have to use the formula of the area and then get the length. Therefore:
Area = Length × Width
21x + 81 = Length × 3
Length = (21x + 81) /3
Length = 7x + 27
The length of the rectangle is 7x + 27 units
When copying a line segment to construct a new line segment why do you think it is important that the plotted point for the new line segment is not on the original line segment?
Answer:
It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.
Which set of integers represents the lengths of the sides of an isosceles triangle? A. {6,6,5} B. {3,4,5} C. {15,5,10} D. {1,1,3}
Answer:
A 6,6,5
Step-by-step explanation:
because an isosceles triangle has two it side equal
The set of integers represents the lengths of the sides of an isosceles triangle is A (6,6,5).
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle.Properties of an Isosceles Triangle
Here is a list of some properties of isosceles triangles:
In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.In the isosceles triangle given above, the two angles ∠B and ∠C, opposite to the equal sides AB and AC are equal to each other.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°. Types of Isosceles TrianglesGenerally, isosceles triangles are classified into three different types:
Isosceles acute triangle: An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. Isosceles right triangle: The following is an example of a right triangle with two legs (and their corresponding angles) of equal measure. Isosceles obtuse triangle: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.Therefore, set of integers represents the lengths of the sides of an isosceles triangle {6,6,5}.
Learn more about Isosceles Triangle is on :
brainly.com/question/11884412
#SPJ2
Determine the value of x is
Answer:
x = 5
Step-by-step explanation:
The measure of an arc equals the measure of the central angle that intercepts it.
The measure of an arc intercepted by a diameter is 180 deg.
m(arc)EH = 180
m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH
10x + 8 + 67 + 11x = 180
21x + 75 = 180
21x = 105
x = 5
Divide 50 by 25 and find the remainder to complete the equation:
50 = 25 x ? + ?
Answer:
0
Step-by-step explanation:
Hello, do you agree that 25 * 2 = 50 ?
So, we can write that [tex]50 = 25 * \boxed{2} + \boxed{0}[/tex]
the remainder is 0.
Thank you
PLEASE HELP ME ASAP!! I NEED ANSWERS AND EXPLANATIONS FAST!!!
Answer:
d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]
Step-by-step explanation:
Here, we are given a diagram in which there are two triangles to be considered:
[tex]\triangle CJG \ and\ \triangle BJI[/tex].
We can consider the whole diagram in the form as attached in the answer area.
To find:
The conditions to prove [tex]\triangle CJG \sim \triangle BJI[/tex].
Solution:
First of all, let us learn about AAA similarity.
AAA stands for Angle Angle Angle.
i.e. when we prove that the all the three corresponding angles of two triangles are equal ,the triangles are similar.
There is one more property of the triangles, that if two angles of two triangles are equal then the third angle of the triangles will also be equal to each other.
So, actually, to prove that [tex]\triangle CJG \sim \triangle BJI[/tex], we need the conditions that two corresponding angles of the triangles are equal to each other, then we can say that third angle will also be equal. Therefore the triangles will be similar to each other.
Let us consider the corresponding angles:
[tex]\angle BIJ \ and \ \angle CGJ\ ,\ \angle BJI \ and \ \angle CJG\ , \ \angle IBJ\ and \ \angle GCJ[/tex]
So, if we are given that any of the two above three pairs are equal/congruent to each other, we can prove [tex]\triangle CJG \sim \triangle BJI[/tex].
Therefore, the correct answer is:
d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]
If the area of the figure is 16 square centimeters, what is the height of the triangle?
Answer:
3.2 cm = h
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
where b is the base and h is the height
b = 10 and the area is 16
16 =1/2 *10 *h
16 = 5h
Divide each side by 5
16/5 = 5h/5
3.2 cm = h
I suck at math so please help :)
Answer:
the answer to this question is
B. 1/2
hope this helps u
Point M is on line segment LN. Given MN=2 and LM=4, determine the length LN.
Answer:
LN = 6
Step-by-step explanation:
Since M is on LN, then
LN = LM + MN = 4 + 2 = 6
Answer:
[tex]\huge \boxed{6}[/tex]
Step-by-step explanation:
Point M is on the line segment LN.
LM = 4
MN = 2
LN = LM + MN
LN = 4 + 2 = 6
Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 9% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)
Answer:
$ 23,145
Step-by-step explanation:
This is a compound interest question where the interest is compounded continuously. Hence, the formula for the value of total amount of investment is:
A = P×e^rt
Where:
A = Total value of investment after t years
P = Principal or Initial amount invested = $6,000
e = Exponential function
r = interest rate = 9% = 0.09
t = time in years = 15
So:
A = $6000 × e^15 × 0.09
A = $6000 × e^1.35
A = $23,144.553184
Approximately , A ≈$23,145
Therefore, the value (in dollars) to the nearest cent of Rochelle's investment in 15 years if the investment is earning 9% per year and is compounded continuously is $23,145.
5 less than a number is equivalent to 1 more than three times the number.
The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
learn more here: https://brainly.com/question/22548668
Building and solving the expression, it is found that the number is -3.
------------------
The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.They are equivalent, thus:
[tex]x - 5 = 1 + 3x[/tex]
Solving for x.
[tex]3x - x = -5 - 1[/tex]
[tex]2x = -6[/tex]
[tex]x = -\frac{6}{2}[/tex]
[tex]x = -3[/tex]
The number is -3.
A similar problem is given at https://brainly.com/question/20742606
Jackson's rectangular bedroom has an area of 90 sq ft. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 ft wide, what is it's length?
Answer:
5 feet
Step-by-step explanation:
Since Jackson's bedroom is a rectangle, it has dimensions of length times width. Suppose the length is l and the width is w.
The area of a rectangle is given by A = lw, where l is the length and w is the width. Here, we know the area is 90, so:
lw = 90
We also know that this area of 90 square feet is 9 times that of the closet, so suppose the area of the closet is c. Then:
9c = 90
Divide by 9:
c = 90/9 = 10 square feet
So, the area of the closet is 10 square feet. Since the width is 2, we know the length will be:
A = lw
10 = lw
10 = 2 * l
l = 10/2 = 5
The length is thus 5 feet.
~ an aesthetics lover
Answer:
5 ft
Step-by-step explanation:
If his bedroom is 9 times of his closet, then that means you divide the area of his bedroom by 9. So, 90 divided by 9=10. That means the closet has an area of 10 sq. ft. As we all know, the area is the length times width. So if the width is 2 ft, then we need to multiply it by a number so it will equal 10. You can do 10 divided by 2 to find it, which equals 5. That means the length of the closet is 5 sq. ft.
a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7
The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?
Answer:
C. 2 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.
Used 3/4 of a pound:
3/4(4) = 3 pounds
Used 1/4 of a pound:
1/4(3) = 3/4 pound
Now, subtract:
3 - 3/4 = 2 and 1/4
Answer
i got it right
C. 2
Take away 3 from 8 times K
Answer:
8×k-3
Step-by-step explanation:
that would be the equation (:
Answer:
8k - 3 is the answer because they are not like terms.
Choose the inequality that represents the following graph.
Answer:
It is c
Step-by-step explanation:
because five is bigger than zero
Answer:
[tex]\sf x > 0[/tex]Step-by-step explanation:
The arrow points to all values greater than 0. And the point at 0 is not filled in. So, the inequality represents everything strictly greater than 0.
[tex]\bf x > 0[/tex]
___________________
Hope this helps!
Have a great day!
Find the measure of KM¯¯¯¯¯¯¯¯¯¯.
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 7+x+2) * 7 = ( 6+8) * 6
Combine like terms
(9+x) *7 = 14*6
Distribute
63 +7x = 84
Subtract 63
63 +7x -63 = 84-63
7x =21
Divide by 7
7x/7 = 21/7
x = 3
KM = x+2+7
= 3+2+7
=12
Answer:
[tex]\huge\boxed{KM = 11}[/tex]
Step-by-step explanation:
According to secant - secant theorem:
(MK)(ML) = (MR)(MN)
Where
MK = 7 + x+ 2 = x + 9
ML = 7
MR = 8 + 6 = 14
MN = 6
=> (x+9)(7)= (14)(6)
=> 7x + 63 = 84
Subtracting both sides by 63
=> 7x = 84 - 63
=> 7x = 21
Dividing both sides by 7
=> x = 3
Now,
KM = x + 9
KM = 3 + 9
KM = 11
What is the average rate of change from x = 0 to x = 18?
Average rate of change ... of what?
Given some continuous function [tex]f(x)[/tex] and some interval [tex][a,b][/tex], its average rate of change over the interval is
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Without knowing what your function is exactly, I can only give a symbolic answer,
[tex]\dfrac{f(18)-f(0)}{18}[/tex]
Answer: -5/18
Step-by-step explanation: edg
what dose a point represents: a) line segment b) a location c) intersection of a plane d) none of the above
Answer:
(B) A location
Step-by-step explanation:
If you have a point on a graph or number line, it always represents a certain location on the graph.
For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).
Hope this helped!
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
3.1
3.4
4.8
2.6
15 x = -27 + 6x cuál es la respuesta de la ecuación, ¿me ayudan? gracias!
Answer:
x = -3
Step-by-step explanation:
If the equation is correctly written as 15·x = -27 + 6·x
Then we have;
15·x = -27 + 6·x
We subtract 6·x from both sides to have all the variables (x) on one side as follows;
15·x - 6·x= -27 + 6·x - 6·x
Which gives;
x·(15 - 6) = -27 + x·(6 - 6)
We note that 6 - 6 = 0, therefore, we have;
x × 9 = -27 + x × 0
We not that x × 0 = 0, therefore;
x × 9 = -27
We now divide both sides with the 9 to get the value of x alone as follows;
x×9/9 = -27/9
Which gives;
x = -27/9 = -3
x = -3
Can anyone help me with this ??
Answer:
y=x+-5
Step-by-step explanation:
y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5
Answer:
y=x+(-5)
Step-by-step explanation:
d=-3-(-4)=-3+4=1
y-(-4)=1(x-1)
y+4=x-1
y=x-1-4
or y=x+(-5)
HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Answer is 36 I think
Step-by-step explanation:
im not sure
This is the question
For answers, please refer to the picture attached
Answer:
I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....
Step-by-step explanation:
Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°
Angles around a full point add to 360° so add angles together and take away from 360°
On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x
And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle
Hope this helps :)
(05.01) A window is 4 feet and 8 feet tall. A manufacturer wants to use a scale factor of 1.5 to enlarged a window. What will the area of the wind will be after it is enlarged?
Answer:
the window would be 72ft²
Step-by-step explanation:
A window is rectangular in shape.
the area of a rectangle is give as length * breadth
but this question say that the manufacturer wants to enlarge the window by 1.5
therefore we are going to multiply the length by 1.5 and the breadth also by 1.5 to get the new area of the bigger window.
length = 8 * 1.5
= 12
width = 4 * 1.5
= 6
The new area would be = l * b
= 12 * 6
= 72ft²
Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available in their school cafeteria. Think about a meal at your school, or maybe a favorite restaurant. How many combinations of choices do you have? Create a tree diagram listing the possible combinations, and count the results. 1. For what will you find the number of combinations? ______________________________________________________________________________________________________________________ 2. List at least three categories to consider. ______________________________________________________________________________________________________________________ 3. List the choices within each category. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 4. Assign each choice a symbol. Ex. juice = (diamond shape) ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 5. Create a tree diagram to determine the number of combinations available. 6. List all possible combinations and count the total number of possibilities. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------
Q1: (For what)"Will you find the number of combinations?"
Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q2: "List at least three categories to consider."
My choices:
Answer: Fruits, Vegetables, Protein.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q3: "List the choices within each category."
Answer:
Fruits: Apples, Bananas, and Grapes.
Vegetables: Cauliflower, Carrot, and Corn.
Protein: Green beans, Salmon, and Almonds.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"
Answer:
Fruits: Apples, Bananas, and Grapes.
Vegetables: Cauliflower✨, Carrot, and Corn.
Protein: Green beans, Salmon, and Almonds.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q5: "Create a tree diagram to determine the number of combinations available."
(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)
(You can rewrite this and do it your way if you want).
Q6: "List all possible combinations and count the total number of possibilities."
There are 27 combinations possible!
All of my possible combinations:
Apples, Cauliflower, Green beans.Apples, Cauliflower, SalmonApples, Cauliflower, Almonds.Bananas, Cauliflower, Green Beans.Bananas, Cauliflower, Salmon.Bananas, Cauliflower, Almonds.Grapes, Cauliflower, Green bean.Grapes, Cauliflower, Salmon.Grapes, Cauliflower, Almonds.Apples, Carrot, Green beans.Apples, Carrot, Salmon.Apples, Carrot, Almonds.Bananas, Carrot, Green beans.Bananas, Carrot, Salmon.Bananas, Carrot, Almonds.Grapes, Carrot, Green beans.Grapes, Carrot, Salmon.Grapes, Carrot, Almonds.Apples, Corn, Green beans.Apples, Corn, Salmon.Apples, Corn, Almonds.Bananas, Corn, Green beans,Bananas, Corn, Salmon.Bananas, Corn, Almonds.Grapes, Corn, Green Beans.Grapes, Corn, Salmon.Grapes, Corn, Almonds.The last image below is for Qestion 5.
Find the degree of the monomial.
s8t
The degree is
Answer:
Step-by-step explanation:
the degree of 8^8t
16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1
Please help...25 points
Answer:
[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]f(x) = -12x+7[/tex]
Given that f(x) = 17
[tex]17 = -12x+7[/tex]
Subtracting 7 to both sides
[tex]17-7 = -12x[/tex]
10 = -12 x
Dividing both sides by 12
[tex]x = - \frac{10}{12}[/tex]
[tex]x = -\frac{5}{6}[/tex]
Answer:
-5/6 =x
Step-by-step explanation:
f(x) = -12x+7
We want to find x when f(x) = 17
17 = -12x+7
Subtract 7 from each side
17-7 = -12x +7-7
10 = -12x
Divide each side by 12
10/-12 = -12x/-12
-5/6 =x
