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3 years ago

Help me with the whole page plz

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

150 students.

.20

3/10

Step-by-step explanation:

What you do for the first one is you take 1,500 and times it by 90%. You will get 1,350. You will then take the 1350 and minus it from 1500 to get 150 students.

The next one says that he drilled a hole that is 5/9 inches wide. He has a drill bit that is 5/6. Will the drill bit be big enough. No because 5/9 is .556 and 5/6 is .833.

For the next one all they want you to do is look at the fruit percentage and put it into a decimal which is .20.

The next one they want the fraction that represents 30% which is 3/10.

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C. 3x+3

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Which pair of ratios form a proportion?

boyakko [2]

5:8 and 20:32 would be a proportion.

Easy way to find this:
Set up the proportion as a fraction.
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4 years ago

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How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) =

kipiarov [429]

Answer:

g(x) is shifted 5 units to the right and 2 units up

Step-by-step explanation:

We know that the translations equation is:

f(x) = $\frac{a}{x-h}+k$

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Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :

$\frac{1}{x-5}+2$

Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.

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3 years ago

Given: ST ║ RP , SD ⊥ PR , SP = TR, SD = 5, ST = 15, PR = 24 Find: m∠P, m∠PST, m∠T, m∠R, PS, TR

makkiz [27]

Answer:

Part 1) $m\angle P=48.01^o$

Part 2) $m\angle PST=131.99^o$

Part 3) $m\angle T=131.99^o$

Part 4) $m\angle R=48.01^o$

Part 5) $PS=\sqrt{45.25}\ units$ , or $PS=6.7\ units$

Part 6) $TR=\sqrt{45.25}\ units$ , or $TR=6.7\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

In this problem we have an isosceles trapezoid

Part 1) Find the measure of angle P

Find the value of side PD

we have that

$PR=PD+ER+ST$ ---> by addition segment postulate

$PD=ER$ ----> by isosceles trapezoid

$PR=2PD+ST\\PD=(PR-ST)/2$

substitute the given values

$PD=(24-15)/2$

$PD=4.5\ units$

In the right triangle PSD

$tan(P)=\frac{SD}{PD}$

$P=tan^{-1}(\frac{SD}{PD})$

substitute the given values

$m\angle P=tan^{-1}(\frac{5}{4.5})$

$m\angle P=48.01^o$

Part 2) Find the measure of angle PST

we know that

In a trapezoid ST ║ RP

$m\angle P+m\angle PST=180^o$ ---> by consecutive interior angles

we have

$m\angle P=48.01^o$

substitute

$48.01^o+m\angle PST=180^o$

$m\angle PST=180^o-48.01^o$

$m\angle PST=131.99^o$

Part 3) Find the measure of angle T

we know that

In this problem we have an isosceles trapezoid

$m\angle T=m\angle S$

we have

$m\angle PST=m\angle S=131.99^o$

therefore

$m\angle T=131.99^o$

Part 4) Find the measure of angle R

we know that

In this problem we have an isosceles trapezoid

$m\angle R=m\angle P$

we have

$m\angle P=48.01^o$

therefore

$m\angle R=48.01^o$

Part 5) Find the measure of segment PS

we know that

In the right triangle PSD

Applying the Pythagorean Theorem

$PS^2=SD^2+PD^2$

substitute the given values

$PS^2=5^2+4.5^2$

$PS^2=45.25$

$PS=\sqrt{45.25}\ units$

$PS=6.7\ units$

Part 6) Find the measure of segment TR

we know that

TR=PS ---> by isosceles trapezoid

we have

$PS=\sqrt{45.25}\ units$

therefore

$TR=\sqrt{45.25}\ units$

$TR=6.7\ units$

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4 years ago

What is the HCF of two consecutive numbers?

Luba_88 [7]

Answer: The HCF o two consecutive numbers is always one.

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3 years ago