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2 years ago

What is the height of a triangle that has an area of 60 yd^2 and a base with a length of 12 yd

Mathematics

1 answer:

andriy [413]2 years ago

5 0

Area = (base * height) / 2
60 = (12 * h) / 2
120 = 12h
h=10 yards

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A polygon is shown what is the measure of U

Elan Coil [88]

Answer:

120

Step-by-step explanation:

That's a guess, but it's the most logical one.

6 0

3 years ago

9 Find the values of r and y. с A 95° B 4x ro D E

Inga [223]

Answer:

x = 18°, y = 167°

Step-by-step explanation:

In right triangle sum of two angles is 90°

4x + x = 90°
5x = 90°
x = 90°/5
x = 18°

Angle y is exterior angle and equals non-adjacent interior angles

y = 4x + 95° =
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4 0

2 years ago

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

2 years ago

Find the solution of this system of equations shown on the graph.

elena-s [515]

Answer is (0,3)

hope it helps

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2 years ago

I have 5 digits. My 4s are worth 4 (10000) and 4 ×10. My 3 is worth 3. The other is worth one tenth as much. My other digit is a

likoan [24]

The number is 40243 :)
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2 years ago