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3 years ago

(b) Susan needs $100 to buy a present for her mom. She wants to find out the

Mathematics

1 answer:

liq [111]3 years ago

4 0

Answer:

9.5 hours

Step-by-step explanation:

e = 10h + 5

100 = 10 h + 5

100-5 = 10 h

95 = 10h

95/10 = h

9.5 = h

h > 9 inequality equation

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11) Which is an example of Associative Property of Addition ?

vlabodo [156]

Answer:

D. (3 + 4) + 9 = 3 + (4 +9) represents the Associative Property of Addition.

Step-by-step explanation:

Associative Property of Addition states that for any groups of numbers, the order of addition does not matter.

or, for any numbers A, B and C

A + ( B +C) = (A +B) + C

Here, D. (3 + 4) + 9 = 3 + (4 +9) represents the Associative Property of Addition.

4 0

3 years ago

How do I do it the one that is circled

butalik [34]

Your answer is 7 1/7

6 0

3 years ago

Read 2 more answers

I need to know the improper fractions answers for:

zmey [24]

Answer:

Part 1) $x=\frac{15}{2}\ units$

Part 2) $z=\frac{15\sqrt{3}}{2}\ units$

Part 3) $y= \frac{15\sqrt{3}}{4}\ units$

Part 4) $b= \frac{45}{4}\ units$

Step-by-step explanation:

step 1

Find the value of x

In the large right triangle

$cos(60^o)=\frac{x}{15}$ ----> by CAH (adjacent side divided by the hypotenuse)

Remember that

$cos(60^o)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{x}{15}$

solve for x

$x=\frac{15}{2}\ units$ ---> improper fraction

step 2

Find the value of z

In the large right triangle

Applying the Pythagorean Theorem

$15^2=x^2+z^2$

substitute the value of x

$15^2=(\frac{15}{2})^2+z^2$

solve for z

$z^2=15^2-(\frac{15}{2})^2$

$z^2=225-\frac{225}{4}$

$z^2=\frac{675}{4}$

$z=\frac{\sqrt{675}}{2}\ units$

simplify

$z=\frac{15\sqrt{3}}{2}\ units$

step 3

Find the value of y

In the right triangle of the right

$sin(30^o)=\frac{y}{z}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values of y and z

Remember that

$sin(30^o)=\frac{1}{2}$

$\frac{1}{2}=y:\frac{15\sqrt{3}}{2}$

solve for y

$\frac{1}{2}= \frac{2y}{15\sqrt{3}}$

$y= \frac{15\sqrt{3}}{4}\ units$

step 4

Find the value of b

In the right triangle of the right

$cos(30^o)=\frac{b}{z}$ ---> by CAH (adjacent side divided by the hypotenuse)

substitute the given values of y and z

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2}=b:\frac{15\sqrt{3}}{2}$

solve for y

$\frac{\sqrt{3}}{2}= \frac{2b}{15\sqrt{3}}$

$b= \frac{45}{4}\ units$

7 0

3 years ago

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

Vesnalui [34]

$\sf\huge\underline{\star Solution:-}$

<h3><u>Given that</u>:</h3>

Hypotenuse of a right triangle = $\sf\blue{16cm.}$
One side (leg) = $\sf\blue{9cm.}$

Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

$\rightarrow$ As we know that,

$\sf{A^2 +B^2 \:=\: C^2}$ (Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

$\rightarrow$ $\sf{A^2 +B^2 \:=\: C^2}$ (putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

$\rightarrow$ $\sf{9^2 +B^2 \:=\: 16^2}$

$\rightarrow$ $\sf{81 +B^2 \:=\: 256}$

$\rightarrow$ $\sf{B^2 \:=\: 256-81}$

$\rightarrow$ $\sf{B^2 \:=\: 175}$

$\rightarrow$ $\sf{B \:=\: \sqrt{175}}$

$\rightarrow$ $\sf{B\:=\: 13.22(approx)}$

Therefore, measure of another side (leg) of the triangle = $\sf\purple{ 13.22(approx).}$

____________________________________

Hope it helps you:)

6 0

2 years ago

A store is offering a 40% discount on a video game. The sales price of the video with the discount is $18. What is the regular p

attashe74 [19]

Answer:

I belive the regular price is $25.20

Step-by-step explanation:

hope that helps :))

8 0

3 years ago