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3 years ago

Fill in the blank. In the triangle below, y=

Mathematics

1 answer:

arsen [322]3 years ago

3 0

Answer:

47.10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.

Filling in the given values, we have ...

... cos(42°) = 35/y

Multiplying by y/cos(42°), we can find y to be ...

... y = 35/cos(42°) ≈ 35/0.7431

... y ≈ 47.10

Y will be approximately 47.10 in length

Step-by-step explanation:

we will use this form that we memorized in our schools ............. SOH CAH TOA

CAH means , Cos ∅= Adjacent/Hypotenuse

Given values

∅ =42°

hypotenuse= y

adjacent side length = 35

now putting in our values into

Cos ∅= Adjacent/Hypotenuse

cos(42°) = 35/y

by multiplying y on both sides we get

y= 35/cos( 42°)

cos(42°)= 0.743

so y= 35/0.743

y = 47.10632

y ≈ 47.10

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Find the value of b.

Nesterboy [21]

Answer: $230^{\circ$

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume $\overline{AB}$ and $\overline{BC}$ are tangents to the circle.

$\overline{BO} \cong \overline{BO}$ (reflexive property)
$\overline{AB} \cong \overline{BC}$ (tangents drawn from a common external point are congruent)
$\angle BAO \cong \angle BCO$ (right angles are congruent)

Therefore, we know $\triangle ABO \cong \triangle CBO$ by HL.

Thus, by CPCTC,

$\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}$

This means the measure of minor arc AC is $130^{\circ}$ , and thus $b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}$

7 0

1 year ago

A man that is 6 feet tall casts a shadow 5 feet long. At the same time, a lamppost beside the man casts a shadow 25 feet long. H

Montano1993 [528]

Answer:

The answer to your question is: L = 30 ft

Step-by-step explanation:

Data

man = 6 ft

man shadow = 5 ft

lamppost shadow = 25 ft

lamppost height = ? = L

Process

$\frac{6}{5} = \frac{L}{25}$

$L = \frac{6 x 25}{5}$

$L = \frac{150}{5}$

L = 30 ft

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3 years ago

the relationship between feet and inches is a function. Write an equation that shows how to find the number of inches (n, output

BigorU [14]

Answer: One foot = 12in. Two Feet = 24in. Three Feet = 36in. Four Feet = 48in.

Step-by-step explanation: So there is 12 inches in one foot. In two feet it is just double so 24 inches. In three it is just triple so 36 inches and in four you just do 12 times 4 so 48 inches.

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3 years ago

Read 2 more answers

PLEASE HELP ASAP

Andrei [34K]

Answer: 35 the digits both together = 8

Reverse it and add 2.

53+2 =55

55- 35 = 20

The required answer is 35 :)

Step-by-step explanation:

7 0