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2 years ago

Review of Unit 6 Measurement:

Mathematics

1 answer:

VMariaS [17]2 years ago

5 0

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.

42 feet 0 inches = 41 feet 12 inches

- 39 feet 5 inches = - 39 feet 5 inches

2 feet 7 inches

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Choose the correct answer to 5825 61. A 95 R 20 B 95 R30 C 96 D 95

yawa3891 [41]

Answer:

Step-by-step explanation:

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2 years ago

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The leaning tower of niles is 94 feet high and makes an angle of 85.5 degrees from the ground to the top of the tower. If you dr

Brut [27]

Answer:

Distance of the keys on ground from the base of the tower = 7.38 ft

Step-by-step explanation:

Given:

Height of tower = 94 ft

Tower is leaning and makes an angle of 85.5 degrees from the ground.

Keys are dropped from the top of the tower.

To find the distance of the keys on ground from the base of the tower.

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AB= 94 ft

∠A= 85.5°

We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.

Using cosine ratio: $\cos\theta=\frac{Adjacent\ side}{Hypotenuse}$

In Δ ABC

$\cos85.5\°=\frac{AC}{AB}$

Multiplying both sides by AB.

$AB\cos 85.5\°=\frac{AC}{AB}\times AB$

$AB\cos 85.5\°=AC$

$AC=AB\cos 85.5\°$

Substituting value of AB and cos 85.5°

$AC=94\cos 85.5\°$

∴ $AC=7.38\ ft$

Distance of the keys on ground from the base of the tower = 7.38 ft

7 0

2 years ago

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

never [62]

Answer:

∠ Y = 45°, ∠ X = 135°

Step-by-step explanation:

Since the 2 angles are supplementary, then

X + Y = 180 ← substitute X = 3Y

3Y + Y = 180, that is

4Y = 180 ( divide both sides by 4 )

Y = 45

and

X + Y = 180, so

X + 45 = 180 ( subtract 45 from both sides )

X = 135

Thus

∠ X = 135° and ∠ Y = 45°

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In a fifth grade class 4/5 of the girls have brown hair. Of the brown-haired girls, 3/4 of them have long hair. Of the girl with

nikdorinn [45]

.2 or 2/10 If you do 3/4 of the 4/5, you get .6 or 6/10. With that, you can do 1/3 of .6 or 6/10 which equals .2 or 2/10

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2 years ago

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Algebraic Reasoning please help!

stiv31 [10]

Answer:

$\left[\begin{array}{ccc}7\\4\\2\end{array}\right]$

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,

$\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7$

then...

$\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4$

and

$\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2$

I hope it helps.

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2 years ago