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Zolol [24]
2 years ago
13

Answer Part A and Part B for the triangle shown

Mathematics
1 answer:
Tom [10]2 years ago
5 0

Answer:

for Part A

Answer is C.

Step-by-step explanation:

\tan(a)  =  \frac{opposite}{adjacent }  \\

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

\tan(60 )  =  \frac{20}{x}

Making x the subject gives us

x =  \frac{20}{ \tan(60) }

Part B

Value of x to the nearest tenth

x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12

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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
SpyIntel [72]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

3x+8y=55 -----> equation A

x+y=15

x=15-y -----> equation B

Substitute equation B in equation A

3[15-y]+8y=55

45-3y+8y=55

5y=55-45

5y=10

y=2

Find the value of x

x=15-y

x=15-2=13

therefore

<u>the answer is</u>

the number of multiple choice question are 13

the number of free response question are 2

5 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIST
GrogVix [38]

Answer:

3,406.5 litres/hr

Step-by-step explanation:

The liquid is being poured at a rate of 15 gallons per minute.

1 minute = 1/60 hour

Thus, the rate can be written as:

15 gallons pet 1/60 hour

We are told that one gallon is approximately 3.785 liters.

Thus;

15 gallons = 15 × 3.785 litres = 56.775 litres.

Thus, the rate is;

56.775 litres per 1/60 hour

We want to find in litres/hr.

By proportion, we have it as;

(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr

4 0
3 years ago
NEED ANSWER ASAP<br> MARKING BRAINLIEST
Liono4ka [1.6K]

Answer:

a \: b \: d \: f \\ mathematical \: sentence \: is \: one \:  \\ which \: has \: a \: sign \: like =  < \:  \:  \:  \:  \:  \\    >  \:  \:  \:  \:  \:  \leqslant  \:  \:  \:  \:  \:  \geqslant

it must always have one of the sign

5 0
3 years ago
Read 2 more answers
The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?
Aleonysh [2.5K]

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}

So, the side of the square yard is 14.19 feet.

8 0
3 years ago
(7 4/9 −8)∙3.6–1.6∙( 1/8 − 3/4 )+1 2/5 ÷(−0.35)
lidiya [134]

Answer:

-7

Step-by-step explanation:

(7 4/9 −8)∙3.6–1.6∙( 1/8 − 3/4 )+1 2/5 ÷(−0.35)

PEMDAS, parenthesis

-5/9∙3.6–1.6∙(1/8-6/8)+1 2/5 ÷(−0.35)

PEMDAS, division

-5/9∙3.6–1.6∙-5/8-4

PEMDAS, multiplication

-5/9∙ 18/5– 8/5 ∙-5/8-4

-2-1-4

PEMDAS, subtraction

-7

Hope this helps! Please mark brainliest :)

3 0
3 years ago
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