MATHEMATICS HIGH SCHOOL

The sum of the exterior angles of a pentagon equals 300? True or false

Answers

Answer 1
Answer: 25 and then add the decimals they have to be aaddd by the two decimals

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An equation is shown below:5(2x - 8) + 15 = -15 Write the steps you will use to solve the equation and explain each step.
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Solve for x. 3(x + 5) - 2(x + 2) = 20

Answers

3(x + 5) - 2(x + 2) = 20
3x + 15 -2x - 4 = 20
x + 11 = 20
x = 20 -11
x = 9

The teacher separated her class of twenty -eight students into two groups. One group has 4 more than twice as many students as the other group. how many students are in each group?

Answers

The class has 28 student. One group has four more students so surat 4 from 28. 28-4=24 since one of the groups have twice as many students as the other divide 24 by 3. 24 / 3 = 8. It says 1 group has for more than twice the other group so that would mean 2/3 of 24 and 4 would be the answer 16+4=20. The first group had 8 students, the other group has 20 students.

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

The object to hit the ground takes 3.675 seconds.

An initial velocity of 48.6 feet per second

When the object hits the ground, h=0:

h=−16t²+48.6t+37.5

0=−16t²+48.6t+37.5

We have to apply the quadratic formula:  

For: ax²+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Substituting with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

For such more questions on object

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Onsof

be

?

The baker can make 28 cakes

in 7 days. How many cakes can

the baker make in 5 days?

B

Enter your text here

Answers

Answer:

20 cakes

Step-by-step explanation:

Given

28 cakes in 7 days

Required

Determine the number of cakes in 5 days

Represent the required with x. The question illustrates proportionality.

First, we need to represent the given and required as a ratio

28 : 7 = x : 5

Convert ratios to fraction

(28)/(7) = (x)/(5)

4 = (x)/(5)

Solve for x

x = 4 * 5

x = 20

Evaluate each expression for s = 2 and t = 5

-4(s)²+t³÷5

Answers

sub
s=2
t=5

-4(2)^2+(5^3)/5
PEMDAS

exponents first sice parentahsees are already simplified
2^2=4
5^3=125
now we have
-4(4)+125/5
multiplication or division
-4 times 4=-16
125/5=25

nowe we have
-16+26
9

answer is 9
-4(s)^2 + t^2 ÷ 5
-4(2)^2 + 5^2÷ 5=
-4x4 + 25/5 =
-16 + 5 = -11

How many grams in a pound

Answers

There are 453.5 grams in 1 pound


I hope that's help and have a great night !
For one pound there would be 453.592. Hope this helps
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