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Arada [10]
3 years ago
7

Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden,

diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Mathematics
2 answers:
bija089 [108]3 years ago
8 0

Answer: 61 and 119

Step-by-step explanation:

pantera1 [17]3 years ago
7 0

Answer:

A= 61

B=119

Step by step:

a; interior angle

180-(27+92)

=180(119)

=61

b; exterior angle

180-61

=119

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Evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z​
4vir4ik [10]

Answer:

5

Step-by-step explanation:

12 x - 3y / 4 x - Z

=12×3-3×1/3÷4×3-5

=36-1/12-5

=35/7

=5

So the final answer is 5.

5 0
3 years ago
True or False? The graph of sine can be used to construct the graph of the secant function.
amid [387]

True

Note that:

secant \theta = \frac{1}{cos\theta}

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is,  sin x  =  cos (90  -  x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since  sec x  =  1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

5 0
3 years ago
Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0
3 years ago
SOMEONE PLS HELP!! its due in 10 minutes
melisa1 [442]

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

3 0
3 years ago
Solve for v.<br> Simplify your answer as much as possible.<br><br> 5+2v=3
Ksenya-84 [330]

Answer:

v= -1

Step-by-step explanation:

5+2v=3

2v=3-5

2v= -2

v= -2/2

v= -1

5 0
3 years ago
Read 2 more answers
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