Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.
Answer:
21, 22 and 26
Step-by-step explanation:
To answer this question first we need to know which are the factors of 12:
[tex]12= 2^2(3)[/tex]
So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.
Let's take number 21:
[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12
Now, let's take the number 22,
[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.
Now, let's take the number 26
[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.
Thus, the three possible answers are 21, 22 and 26
Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
find -2-(-.7)
help me plz :(
Answer: 5
Step-by-step explanation:
two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)
Answer:
5
Step-by-step explanation:
you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign
since the 2 signs are different you will need to subtract.
so 7-2 equals 5 and you put the bigger number's sign which is positive
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.
We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.
We will use law of sines to solve for side r.
[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.
Let us find measure of angle S using angle sum property of triangles.
[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]
[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]
[tex]\angle R=29^{\circ}[/tex]
[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]
[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]
[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]
[tex]r=53.7604351[/tex]
Upon rounding to nearest tenth, we will get:
[tex]r\approx 53.8[/tex]
Therefore, the length of r is approximately 53.8 inches.
Can someone help me on this
Answer:
1. C) quadratic
2. b) exponential
Step-by-step explanation:
how to simply this equation
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year
Answer & Step-by-step explanation:
If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.
Apples:
120 × 590 = 70800
Pears:
90 × 590 = 53100
Now, we add 70800 to 53100.
70800 + 53100 = 123900
So, the orchard produces 123900 pounds of fruit in one year.
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?
Answer:
Final price f = 0.85x
Step-by-step explanation:
Let f represent the final price and
x is the original price of the lawn mower
Given;
The hardware store is having a 15% off sale on lawn mowers this weekend;
the final sales price,excluding tax will be equal to the original price minus 15% of the original price.
Final price f = 100% of x - 15% of x
Final price f = x - 0.15x
Final price f = 0.85x
Answer:
WHAT IS THE ANSWER?
Step-by-step explanation:
help mehhh
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
hey can anyone pls help me out in dis!!!!!!!!!
Answer:
Look at the attachment
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?
(x – 4)2 + (y – 5)2 = 2
(x – 4)2 + (y – 5)2 = 4
(x – 5)2 + (y – 4)2 = 2
(x – 5)2 + (y – 4)2 = 4
Answer:
(x - 4)² + (y - 5)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, 5) and r = 2, thus
(x - 4)² + (y - 5)² = 2², that is
(x - 4)² + (y - 5)² = 4 ← second option on list
The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2 + (y-b)^2 = r^2
where:
(a, b) is the centre = (4, 5)
r is the radius = 3 units
Substitute to have;
(x-4)^2 + (y-5)^2 = 2^2
(x-4)^2 + (y-5)^2 = 4
Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Learn more on equation of circle here: https://brainly.com/question/14150470
1 3 4 21
+ = + =
7 4
Answer:
i tried so i hope this helps you
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.
Correct Question
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
A. The slant height of the pyramid = 2.24 yards.
B. The surface area of the composite figure = 12.94 square yards.
C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.
Step-by-step explanation:
A. What is the slant height of the pyramid?
To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:
a² + b² = c²
Where a = Height of the square pyramid represent by h
b = radius of the square pyramid represented by r
c = Slant height of the square pyramid represented by s
Therefore, we have
h² + r² = s²
Looking at the attached diagram, we are given the side length = 2 yards.
The radius of the square based pyramid = side length ÷ 2
= 2÷ 2 = 1 yard.
The height of a square based pyramid = 2 yards
Since , h² + r² = s²
The slant height of the square pyramid is calculated as :
√h² + r² = s
√(2² + 1²) = s
√5 = s
s = 2.24 yards
B. What is the surface area of the composite figure?
We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
Step 1
We find the Lateral area of the faces of the insides of the inverted pyramid
We have 4 faces, Hence,
The formula is given as
a × √( a² + 4h²
a = 2 yards
h = 2 yards
So, = 2 × √( 2² + 4 ×2²
The Lateral area of the faces = 8.94 square yards.
Step 2
Area of the 5 faces of the cube
= a²
Where a = side length = 2 yards
= 2²
= 4 square yards.
Step 3
Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards
= 12.94 square yards.
C. How many cubic yards of concrete are needed to make the planter?
This is calculated by find the Volume of the Square based pyramid.
The formula is given as :
V = (1/3)a²h
Where a = side length = 2 yards
h = height of the square based pyramid = 2 yards
V = 1/3 × 2² × 2
V = 2.67 cubic yards
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?
The complete question is;
Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?
Answer:
The best estimate of the number of songs that Marquis purchased = 35 songs
Step-by-step explanation:
First of all, let's make x the subject of the linear regression equation.
We are given that,
y = 1.245x - 3.685
So,
1.245x = (y + 3.685)
x = (y + 3,685) / (1,245)
We are told that Marquis spent $40 on songs.
Thus;
Substituting the value of $40 for y into the equation to get;
x = (40 +3,685)/(1,245)
x = 35.09
x ≈ 35
Thus, the best estimate of the number of songs that Marquis purchased is 35
Answer:
the number of songs that Marquis purchased is 35
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.