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stepladder [879]

3 years ago

15

A piece of stained glass in the shape of a right triangle has sides measuring 8 cm, 15 cm, and 17 cm. what is the area of the pi

ece

2 answers:

mars1129 [50]3 years ago

7 0

We know that

[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²

see the attached figure

the answer is
60 units ²

Dahasolnce [82]3 years ago

4 0

The area would be 60.

The longest side, 17, is the hypotenuse, which means the legs, or base and height, are 8 and 15.

A = 1/2 bh = 1/2(8)(15) = 60.

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Carla packs boxes at a rate of 10 boxes every 4 minutes. What is the number of boxes per minute that Carla packs?

VikaD [51]

Answer:

2.5 boxes per minute

Step-by-step explanation:

First divide 10 by 4 to get the unit rate 2.5/1.

Second add labels, and figure out conclusion.

2.5 boxes/ 1 minute

Carla packs 2.5 boxes per minute.

4 0

3 years ago

How far is 5k in miles?

Svet_ta [14]

5 k in miles equals the unit of 3.10686 in miles

3 0

3 years ago

a,square garden is 10feet long. how much willit vost to install a fence around the garden if the fence vost $1.75 per foot

Ahat [919]

Perimiter is 4s since square is 4 equal sides

s=10
P=4*10=40 feet

40 times 1.75=70

$70

5 0

3 years ago

Jane’s buying clothes. She can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. How muc

makkiz [27]

Cost of 1 shirt is $\$25$ and cost of one sweater is $\$26$

<u>Solution: </u>

Given that Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for $\$229$

She can get 2 shirts & 3 sweaters for $\$128$

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = $\$x$

And assume cost of 1 sweater = $\$y$

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = $\$229$

$\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}$

So using first condition equation which we get is as follows

$5 x+4 y=229 \rightarrow (1)$

Second condition is Cost of 5 shirt + cost of 4 sweater = $\$128$

$\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}$

So using second condition equation which we get is as follows

$2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)$

Now we have two equations to be solved

$\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}$

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

$\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}$

On subtracting (3) from (4), we get

$\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}$

On substituting y = 26 in equation (1) we get

$\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}$

Cost of 1 shirt = $\$x = \$25$

Cost of 1 sweater = $\$y = \$26$

7 0

4 years ago

Jorge’s printer can print 24 pages in 15 minutes. How many pages can it print in 3/4 hour? In 1 hour?

Art [367]

Jorge's printer can print 72 pages in 3/4 hours and 96 pages in 1 hour.

Step-by-step explanation:

Given,

Pages printed in 15 minutes = 24 pages

15 minutes = $\frac{15}{60} = \frac{1}{4}\ hour$

Therefore;

$\frac{1}{4}\ hour = 24\ pages$

Multiplying both sides by 4

$4*\frac{1}{4}=24*4\\1\ hour = 96\ pages$

In 3/4 hours

$\frac{3}{4}\ hour = 96*\frac{3}{4}\\\\\frac{3}{4}\ hour = 72\ pages$

Jorge's printer can print 72 pages in 3/4 hours and 96 pages in 1 hour.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago