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3 years ago

56 cups = ______ quarts

Mathematics

2 answers:

Kryger [21]3 years ago

6 0

There are 14 quarts because 1 cup is 0.25 quarts and 56 cups are 14 quarts

lesya [120]3 years ago

5 0

Hello! If you look at your gallon man, you see that 4 cups = 1 quart. Therefore, we can divide 56 cups by 4 to get the amount of quarts equivalent to 56 cups. 56/4 is 14. There. 56 cups = 14 quarts.

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How do i solve this? ASAP!

lukranit [14]

Answer:

Similar triangles states the length of the corresponding sides are in proportion.

In a given similar triangles:

Labelled the diagram:

Triangle BAC and triangle DAC are similar.

then;

Corresponding sides:

$\frac{AB}{AD} = \frac{BC}{DC}$

AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

$\frac{x}{15} = \frac{5}{3}$

By cross multiply we get;

$3x = 15 \cdot 5$

Simplify:

$3x = 75$

Divide both sides by 3 we get;

$\frac{3x}{3}=\frac{75}{3}$

Simplify:

x = 25 units

Therefore, the value of x is 25 units.

8 0

3 years ago

Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.

SOVA2 [1]

Answer:

23.92°, 78.503°, and 77.577°

Step-by-step explanation:

The coordinates of the vertices of the triangle are;

X(-3, -5), Y(2, 6), Z(6, 3)

The vectors are;

z = $\left \langle 2 - (-3), 6 - (-5) \right \rangle$ = $\left \langle 5, 11 \right \rangle$

y = $\left \langle 6 - (-3), 3 - (-5) \right \rangle$ = $\left \langle 9, 8 \right \rangle$

x = $\left \langle 2 - 6, 6 - 3 \right \rangle$ = $\left \langle -4, 3 \right \rangle$

$cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}$

Therefore, we get;

$cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409$

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

-y = $\left \langle -9, -8 \right \rangle$

We get;

$cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}$

Therefore;

$cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309$

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

The interior angles are;

23.92°, 78.503°, and 77.577°

4 0

3 years ago

Help me simplify this, please!!

OlgaM077 [116]

$- \sqrt[3]{2 x^{4} y^{2} } *3 \sqrt[3]{20 x^{5}y } =-3 \sqrt[3]{2 x^{4} y^{2}20 x^{5}y} = \\ \\ =-3 \sqrt[3]{40 x^{9} y^{3} } =-3 \sqrt[3]{2 ^{3}*5* x^{9} y^{3} } = \\ \\ =-3*2 ^{ \frac{3}{3} } * x^{ \frac{9}{3} } * y^{ \frac{3}{3} } \sqrt[3]{5} =-6 x^{3} y \sqrt[3]{5}$
Answer: B.

6 0

3 years ago

Solve the following system of equations using substitution.

dolphi86 [110]

It's A. If U=16, 6+10=16
and if you plug in the numbers for the second equation it's 36=2(10)+16

6 0

4 years ago

The largest tree in the world by volume is in sequoia national park. The diameter at the base is 36ft. If a person with out stre

gavmur [86]

You would need to find the circumference(using the formula c=3.14r^2) of the tree which is 113.04 then you would have to divide it by 6 which is 18.84 which would round up to 19
Answer: 19 people

5 0

3 years ago