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a_sh-v [17]
3 years ago
12

Find the missing side of each triangle. Leave your answers in simplest radical form.

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

4√11 km.

Step-by-step explanation:

By the Pythagoras theorem:

x = √(15^2 - 7^2)

= √176

= √16√11

= 4√11.

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Find the value of y if the measure of the vertex angle is 64 degrees and base angle is (2y -11)
Dafna1 [17]

Answer: 35


180 = 64 + y + 2y - 11

105 = 3y

y = 35




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3 years ago
Liz earns a salary of $2,100 per month plus a comission of 5 percent of her sales. She wants to earn at least $2,400 this month.
Luda [366]
x-amount\ of\ sales\\\\2100+0.05x=2400\ \ \ \ |subtract\ 2100\\\\0.05x=2400-2100\\\\0.05x=300\ \ \ \ |\cdot20\\\\\boxed{x=6000}
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3 years ago
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What do 110°, 250°, and -470° angles have in common?
Nadusha1986 [10]
They are all larger than 90 degrees, and in a triangle they would all be obtuse angles.
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3 years ago
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I NEED THE ANSWER RIGHT NOW PLEASE!!!
strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4)       Showing how to expand

= 5/3x + 35 - 3/2x + 12           Simplified above step by multiplying

= 5/3x - 3/2x + 47            Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47          Change fractions to the common denominator 6

= \frac{10-9}{6}x + 47   Combine fractions with common denominator

= 1/6x + 47              Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

\frac{5}{3}x = 1\frac{2}{3}x    On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

\frac{3}{2}x = 1\frac{1}{2}x   On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.

6 0
3 years ago
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U= a-k-b solve for a
irina [24]

Answer:

a = b + k + u

Step-by-step explanation:

hope this helps

3 0
3 years ago
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