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AlekseyPX
2 years ago
6

SOLVE AND EXPLAIN HOW TO SOLVE

Mathematics
1 answer:
zavuch27 [327]2 years ago
5 0

Answer:

4.13

Step-by-step explanation:

Using sine ratio where it states that sine of a measurement is equal to ratio of opposite of measurement to hypotenuse (slant side/side with slope)

From the question, our opposite is x, hypotenuse is given as 15 units and the measurement is 16°. Apply the formula:

\displaystyle{\sin 16^{\circ} = \dfrac{x}{15}}

Move 15 to multiply sin(16°):

\displaystyle{15\sin 16^{\circ} = x}

Go ahead and input the value in a calculator since it's not a special triangle - a measurement that can be found using hand method - after you find the value, round it to 2 decimal places:

\displaystyle{x = 4.13456033...}

Therefore, after rounding to 2 decimal places, the answer is:

\displaystyle{x=4.13}

Therefore, the value of x is 4.13 units.

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18x-16y=-312 <br> 78x-16y=408
patriot [66]
That is system of equation.
8 0
3 years ago
7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%
olya-2409 [2.1K]

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

\text { Amount earned through commission }=\text { Total amount earned - Base salary }

=6000 - 4000 = 2000

Also we know,  

\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }

Let the commission amount be x

10 \% \times x=2000

10 / 100 \times x=2000

0.1 \times x=2000

x=20,000 \div 0.1

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

4 0
3 years ago
Brainliest if correct. YOUR ASSIGNMENT: Valuable Coins
STALIN [3.7K]

Answer: Coin B And Coin C

Step-by-step explanation:

7 0
3 years ago
Any help would be appreciated. Thank you!
trapecia [35]

Answer:

Area =62.5\sqrt{6} square units

AB=5\sqrt{15} units

BC=5\sqrt{10} units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units

a. The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units

5 0
4 years ago
4x-5,4(x-5),4(x+5) drag the phrases into each box to match each expression five sang the sum of four and number five more than t
jeyben [28]

Answer:

4x-5= 5 less than the product of 4 and a number. 4 (x-5)= The product of 4 and the difference of a number and 5.  4(x+5) ​= The product of 4 and the sum of a number and 5.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that those are the correct answer.

8 0
4 years ago
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