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3 years ago

Find the value of angle b A: 46 B:24 C:134 D:66

Mathematics

2 answers:

Lapatulllka [165]3 years ago

3 0

Answer:

Step-by-step explanation:

Add 295 and 41 when you get the sum. Subtract it by 360 getting 24

mestny [16]3 years ago

3 0

Answer:

b 41 c 295. value of the angle

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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt

vodomira [7]

Set up a system of equations:

$\text{Total shirts bought}$

$x + y = 9$

$\text{Total cost}$

$10x + 7y = 72$

x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.

For the first equation, subtract y from both sides to get x by itself:

$x = 9 - y$

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

$10(9-y) + 7y = 72$

Distribute the 10 to both terms in parentheses:

$10 \times 9 = 90$

$10 \times -y = -10y$

$90 - 10y +7y = 72$

Combine like terms:

$-10y + 7y = -3y$

$90 - 3y = 72$

Subtract 90 from both sides:

$-3y = -18$

Divide both sides by -3 to get y by itself:

$y = 6$

6 long sleeve shirts were bought.

Now you have a value for y. Input this value into the first equation:

$x + 6 = 9$

Subtract both sides by 6 to get x by itself:

$x = 3$

3 tee shirts were bought.

The answer is B. 3 tee shirts and 6 long sleeve shirts.

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3 years ago

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You by 20 of your favorite songs from a website that charges $0.99 for each song. what is the cost of 20 songs?

maksim [4K]

The answer is $19.80

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3 years ago

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Solve this 2-step Equation <br> 5=4a-7

katen-ka-za [31]

Answer:

a=3

Step-by-step explanation:

5=4a-7

add 7 on both sides

5+7=4a(-7+7)

12=4a

Now divide 4 on both sides

a= 3

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3 years ago

If your starting salary is $40,000 and you receive a 4.2% raise every year, how much TOTAL money will you make in 15 years?

Oliga [24]

The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42$

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3 years ago

The proper height of a highway guardrail is 27 inches, but 3 inches higher or lower is acceptable. Which inequality represents t

andriy [413]

Answer:

Step-by-step explanation:

27 is the "center" of a range of measurements of the height of the guard rail. The height could be as much as 30 inches or as little as 24 inches. The absolute value operator encloses "x - 27," where 27 is the "center." The acceptable excess or acceptable deficiency is 3 inches.

So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.

Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator. 27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is

D: |h - 27| ≤ 3 (measurements in inches).

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3 years ago