Answer:
Perimeter: 30 Area: 30
Step-by-step explanation:
Perimeter of a triangle= Add all sides = 5+12+13 = 30
Area of a triangle= (B*H)/2 = (5*12)/2 = 60/2 = 30
Hope this helps! :)
Write an equation for the function that includes the following points (2,32) and (3,64)
Answer:
32 = a*2 +b
64 = a*3 + b
Then 32 = a
32 = 32*2 +b
b = - 32
So
Y = 32a - 32
Is the equation
equivalent fraction of 9/11
Answer:
1822
Step-by-step explanation:
The fraction 1822 is equal to 911 when reduced to lowest terms.
18
22
is equivalent to 9
11
because 9 x 2 = 18 and 11 x 2 = 22
27
33
is equivalent to 9
11
because 9 x 3 = 27 and 11 x 3 = 33
36
44
is equivalent to 9
11
because 9 x 4 = 36 and 11 x 4 = 44
Answer:
18/22
Step-by-step explanation:
You can choose any number and if you multiply the top number (numerator) and the bottom number (denominator) by that same number, the fractions are equivalent.
If you choose the number 2, then multiply 9 x 2 = 18, and 11 x 2 = 22
Or multiply by 7. Then you would get an equivalent fraction of 63/77
factor the GCF out of the polynomial
Answer:
1. Find the GCF of all the terms in the polynomial.
2. Express each term as a product of the GCF and another factor.
3. Use the distributive property to factor out the GCF.
Which are the roots of the quadratic function f(q) = 92 – 125?
Answer:
There are no solution/no roots for f(q) = 92 - 125
Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form
Answer:
r= 17.73174
Step-by-step explanation:
calculations
Pls answer? Last one for today!
Step-by-step explanation:
You look for the common factor of both of them which in this case is 5, therefore it's
5(x+7)..just divide 5 in 5x and in 35
Write the ratio 4 3/5 to 1 1/5 as a fraction in lowest terms
Answer:
23/6
Step-by-step explanation:
Given fractions
4 3/5 to 1 1/5
Write 4 3/5 as improper fraction= 23/5
Write 1 1/5 as improper fraction= 6/5
Then find the ratio
23/5 : 6/5
Ratio is finding division of two terms
(23/5) / (6/5)
= 23/5 × 5/6
5 at the denominator cancel out 5 at numerator then we have
= 23/6
Hence, fraction in lowest terms here is
23/6
A, B and C are collinear points. B is between A and C. AB=3x+4 BC=4x-1 AC=8x-9 Find AC
Answer:
[tex]AC = 87[/tex]
Step-by-step explanation:
Given
[tex]AB = 3x + 4[/tex]
[tex]BC = 4x -1[/tex]
[tex]AC = 8x - 9[/tex]
Required
The value x
Since A, B and C are collinear, then;
[tex]AC = AB + BC[/tex]
This gives:
[tex]8x - 9 =3x+4+4x-1[/tex]
Collect like terms
[tex]8x - 3x - 4x = 9 + 4-1[/tex]
[tex]x = 12[/tex]
We have:
[tex]AC = 8x - 9[/tex]
[tex]AC = 8*12 - 9[/tex]
[tex]AC = 87[/tex]
A piece of wood is cut into three pieces in the ratio 6: 5: 2. If the log is 61/2 feet long, what will be the length of the longest piece
Answer:
14.077 feet to the nearest thousandth.
Step-by-step explanation:
First let's work out the multiplier:
6 + 5 + 2 = 13.
61/2 = 30.5
- so the multiplier is 30.5/13 = 2.34615
The longest piece refers to the 6 in the ratio its length
= 6 * 2.34615
= 14.0769 ft.
Using the proper terminology, how would you explain and visually demonstrate that this is not always the case?
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
Answer is 6.
Step-by-step explanation:
The product is
[tex]15\times \frac{2}{5}[/tex]
Now, it does not means that the product of two quantities is always more than the individual quantities.
here, 2/5 is a part of whole.
So,
The product is
[tex]15\times \frac{2}{5}\\\\=3\times 2\\\\= 6[/tex]
The answer is 6 which is less than 15.
Here, it is the 2/5 part of whole 15.
You play basketball at your school's
indoor stadium. You have two payment
options. Option A is to buy a membership
card for $20 and pay $2 each time you
go to the gym, t. Option B is to pay $4
each time you go. Write a a linear
equation to show how many trips to the
gym would the cost be the same?
Answer:
20 + 2x = 4x
Step-by-step explanation:
So you are setting the two expressions equal to each other.
buying a membership card and paying each time looks like this: 20 + 2x where x is the number of times you go to the gym. 20 dollars base then 2 each time you go.
4 each time you go is just 4x
so just set the two equal to each other.
20 + 2x = 4x
If you solve it you will get x = something, which would be the number of times to make the two equal.
Question 23 (5 points)
A triangle has two interior angles with the measurement of 68° and 54º. What's the
measurement of the third interior angle?
55°
620
58°
65°
Answer:
58°
Step-by-step explanation:
Given that,
The measure of two interior angles are 68° and 54º.
We need to find the measurement of the third interior angle.
We know that, the sum of angles of a triangle is equal to 180°. Let the angle is x. So,
x+68+54 = 180
x+122 = 180
x = 180-122
x = 58°
So, the measure of the third interior angle is equal to 58°.
Please answer! I need help on this question.
Answer:
Let x and y denotes the number of cabinet of the type X and Y. Then given problem can be formulated as, ☝
That is, the second pic
Sketch the region as 3 pic
Step-by-step explanation:
oh the same question was there by xxlunaxx4
Find the area of the geometric figure.
3 yd
3 yd
Traperoid
7 yd
Step-by-step explanation:
The question isn't clear, so I'll just give you a formula to find the area of trapezoid,
(a+b)*h/2, where a = base side, b = top side, h = height.
So, let's say two sides are 3 yd and 7 yd, and height is 3 yd, so the area becomes,
(3+7)*3/2
= 10*3/2
= 30/2
= 15 yd²
Answered by GAUTHMATH
Fill in the blanks with the correct verbs given below.
(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,
reflects leaves, walks, is)
1. Marry ......... to office every morning .Walking is good exercise.
2. We........ our teeth after dinner. It ..........them clean.
3. Salim......... for school everyday at 7:00 a.m.
4. The sun ..........at 5:00 a.m. these days. The days are getting longer.
5. The tiger ......an endangered animal. There are only 1410 tigers left.
6. Vikram Seth......... poetry, fiction and travelogues.
7. Sania Mirza......... tennis. She plays both singles and doubles.
8. Frogs....... ...and birds...........
9. Please ..........for my red shirt. I cannot find it.
10. The gardener ........ the loan once a week.
11. The moon ........the light of the sun.
12. The times of India......... a national newspaper.
13. The UN headquarters...... in Geneva.
14. Maya ........... a pet dog .Its name is Lily.
15. This book....... projects and activities.
Answer:
Fill in the blanks with the correct verbs given below.
(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,
reflects leaves, walks, is)
1. Marry ...keeps rises...... to office every morning .Walking is good exercise.
2. We...brush..... our teeth after dinner. It .....makes.....them clean.
3. Salim....wakes..... for school everyday at 7:00 a.m.
4. The sun ...rises.......at 5:00 a.m. these days. The days are getting longer.
5. The tiger chirp......an endangered animal. There are only 1410 tigers left.
6. Vikram Seth.....combines........ poetry, fiction and travelogues.
7. Sania Mirza....plays..... tennis. She plays both singles and doubles.
8. Frogs....croak... ...and birds.....chirp......
9. Please ....look......for my red shirt. I cannot find it.
10. The gardener .....mows....... the loan once a week.
11. The moon ...keep rises.....the light of the sun.
12. The times of India......writes....... a national newspaper.
13. The UN headquarters.....is..... in Geneva.
14. Maya ...has........ a pet dog .Its name is Lily.
15. This book....writes..... projects and activities
An analysis of 99 Wall Street traders showed that 32 of their stock picks beat the market average. What is the estimate of the population proportion
Answer:
The estimate of the population proportion is 0.3232.
Step-by-step explanation:
Estimate of the population proportion:
The estimate is the sample proportion, which is the number of desired outcomes divided by the number of total outcomes.
In this question:
32 out of 99, so:
[tex]p = \frac{32}{99} = 0.3232[/tex]
The estimate of the population proportion is 0.3232.
Select all of the following statments that are true
Answer:
A. -¾ + 0 = -¾
B. -¾ - ¾ = -(¾ + ¾)
C. ¾ - ¾ = ¾ + (-¾)
E. -¾ + ¾ = ¾ + (-¾)
F. -¾ + ¾ = 0
Step-by-step explanation:
Let's check each equation to determine whether they are true or false.
If what we have in the both sides are equal, then the equation is true, if they're not, them it is false.
✔️-¾ + 0 = -¾
Add everything on your left together
-¾ = -¾ (TRUE)
✔️-¾ - ¾ = -(¾ + ¾)
Add everything on both sides together respectively
(-3 - 3)/4 = -(3 + 3)/4
-6/4 = -6/4 (TRUE)
✔️¾ - ¾ = ¾ + (-¾)
0 = ¾ - ¾ (+ × - = -)
0 = 0 (TRUE)
✔️-¾ + ¾ = ¾ - (-¾)
0 = ¾ + ¾ (- × - = +)
0 = 6/4 (FALSE)
✔️-¾ + ¾ = ¾ + (-¾)
0 = ¾ - ¾ (+ × - = -)
0 = 0 (TRUE)
✔️-¾ + ¾ = 0
0 = 0 (TRUE)
in a class of 50 student,35 are boys.what is the ratio of girls to boys in the class?
Answer:
15:35
Step-by-step explanation:
50-35=Girls
50-35=15
if f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)
Answer:
for this case we have the following functions:
f (x) = x + 8
g (x) = -4x - 3
Subtracting the functions we have:
(f - g) (x) = f (x) - g (x)
(f - g) (x) = (x + 8) - (-4x - 3)
Rewriting:
(f - g) (x) = x + 8 + 4x + 3
(f - g) (x) = 5x + 11
Answer:
D. (f - g) (x) = 5x + 11
Can someone solve this for me and a couple more questions ?
Answer:
C. -4
Step-by-step explanation:
Answer:
(c) - 4
is your right answer
please help me in math
Answer:
4x/3Step-by-step explanation:
Let the area of initial square is x, then shaded squares will have area as geometric sequence:
x/4, x/16, x/64, ...The first term is x, the common ratio is 1/4
Sum of infinite GP is:
S = a/(1 - r)By substituting values we get:
S = x/(1 - 1/4) = x / (3/4) = 4x/3The half life of carbon 14 is 5,730 year suppose a fossil found with 20 percent as much of its carbon 14 as compared to a living sample how old is the fossil
3,235 years
32,346 years
1331 years
13,307 years
13,305 years
Step-by-step explanation:
[tex]A = A_02^{-\frac{t}{5730}}[/tex]
Since only 20% of the original C-14 is left, then [tex]A=0.2A_0[/tex]. We can then write
[tex]0.2A_0=A_02^{-\frac{t}{5730}}[/tex]
Taking the log of both sides,
[tex]\log 0.2 = \left(-\dfrac{t}{5730}\right)\log 2[/tex]
Solving for t,
[tex]t = \dfrac{-(5730\:\text{years})\log 0.2}{\log 2}[/tex]
[tex]\:\:\:\:\:\:\:= 13,305\:\text{years}[/tex]
What is the surface area of the rectangular prism pictured below?
3 meters
9 meters
4 meters
Answer:
108 meters with the formula lxhxw
سا (a) From the definition of derivatives determine dy÷dx if y = -2÷x
Step-by-step explanation:
Given: [tex]y = -\dfrac{2}{x}[/tex]
Derivative of a power function [tex]x^n[/tex]:
[tex]\dfrac{d}{dx}(x^n) = nx^{n-1}[/tex]
Therefore,
[tex]\dfrac{dy}{dx}=-2(-1)x^{-2} = \dfrac{2}{x^2}[/tex]
Write the following equation in slope-intercept form.
3x-2y= 5
Answer:
y= (3/2)x - (5/2)
Step-by-step explanation:
Slope-intercept form is y=mx+b. So, 3x-2y=5 can be rearranged to slope-intercept form.
We need to isolate the y and get it by itself, so let's subtract the 3x from both sides.
-> -2y = 5 - 3x
Now we need to get rid of the -2 so that the y will be completely alone. So, divide the -2 from both sides of the equation.
-> y = (5/-2) (-3x/-2)
Now rearrange, and the negatives from the 3x and 2 cancel each other out and we are left with:
-> y = 3/2 x - 5/2
I really need help with this thank you
Answer:
The photo is not clear post a clear photo then i will see that
Answer:
per = 28 units
area 32 sq units
Step-by-step explanation:
Your money grows at a rate of 8% a year if you originally invest $2,000 what is the function that represents your money after t years
Answer:
2000*(1.08)^t where t is years after deposit
Step-by-step explanation:
Explain the steps to find x- and y- intercepts of an equation of the form Ax + By = C
Step-by-step explanation:
For an equation of form Ax + By = C, we are given A, B, and C.
The x intercept is when the line/equation is on the x axis, or when y=0.
Therefore, if we plug y=0 into the equation Ax+By=C, and anything multiplied by 0 is equal to 0, we can say that
Ax + 0 = C
Ax = C
divide both sides by A
x = C/A
Therefore, the x intercept is equal to C/A
Similarly, for the y intercept, or when the line is on the y axis (or when x=0), we have
A*0 + By = C
By = C
divide both sides by B
y= C/B at the y intercept
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answer:
[tex]P = 8 + 2\sqrt{26}[/tex]
Step-by-step explanation:
Given
[tex]W = (-2, 4)[/tex]
[tex]X = (2, 4)[/tex]
[tex]Y = (1, -1)[/tex]
[tex]Z = (-3,-1)[/tex]
Required
The perimeter
First, calculate the distance between each point using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]
So, we have:
[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]
[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]
[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]
[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]
So, the perimeter (P) is:
[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]
[tex]P = 8 + 2\sqrt{26}[/tex]
The perimeter of parallelogram WXYZ is 8 + 2√26 units
Perimeter of parallelogramIn order to determine the required perimeter of the parallelogram, we will use the distance formula as shown:
D= √(x2-x1)²+(y2-y1)²
Given the coordinate of the parallelogram shown as:
W(-2, 4)
X (2, 4)
Y(1, -1)
Z(-3, -1).
Since it is a parallelogram, the opposite sides are equal that is:
WX = YZ and XY = WZ
WX = YZ = √(x2-x1)²+(y2-y1)²
WX = YZ = √(2+2)²+(4-4)²
WX = YZ =√(4)²
WX = YZ = 4 units
Similarly
XY = WZ = √(2-1)²+(4+1)²
XY = WZ = √(1)²+(5)²
XY = WZ = √26
Perimeter = 2(4)+ 2(√26)
Perimeter = 8 + 2√26
Hence the perimeter of parallelogram WXYZ is 8 + 2√26 units
Learn more on perimeter of parallelogram here: https://brainly.com/question/11185474
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm?
Answer:
22608 mm³/s
Step-by-step explanation:
Applying chain rule,
dV/dt = (dV/dr)(dr/dt)............... Equation 1
Where dV/dr = rate at which the volume is increasing
But,
V = 4πr³/3
Therefore,
dV/dr = 4πr²............... Equation 2
Substitute equation 2 into equation 1
dV/dt = 4πr²(dr/dt).............. Equation 3
From the question,
Given: dr/dt = 2 mm/s, r = 60/2 = 30 mm
Consatant: π = 3.14
Substitute these values into equation 3
dV/dt = 4×3.14×30²×2
dV/dt = 22608 mm³/s