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2 years ago

PLEASE HELP ASAP Find the missing side lengths.

Mathematics

1 answer:

zimovet [89]2 years ago

8 0

You can see it’s 90

You can also see it because. A triangle is 180 degrees so

45+45=90

180-90=90

So x=90

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Jerome served $725 worth of meals last weekend. How much did Jerome earn last weekend?

Molodets [167]

Answer:

725 dollars probably

Step-by-step explanation:

it really depends on how much is cut away from his check from business expenses and how much his boss would take

7 0

2 years ago

Calculate the area of the given quadrilaterals.

nadya68 [22]

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

3 0

2 years ago

What is the value of x in the diagram?

Verizon [17]

2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2

5 0

3 years ago

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

3 years ago

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$ for P > 0.2S

Q = 0 for P < 0.2S

$S = \dfrac{1000}{CN}-10$

where:

curve number CN = 80

$S = \dfrac{1000}{80}-10$

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$

$Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}$

$Q = \dfrac{(8-0.5)^2}{(8+2)}$

$Q = \dfrac{(7.5)^2}{(10)}$

$Q = \dfrac{(56.25)}{(10)}$

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0

3 years ago