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3 years ago

25 POINTS AND BRAINLIEST 6. Consider the following figure.

Mathematics

2 answers:

avanturin [10]3 years ago

7 0

Answer:

Perimeter: 95+15*sqrt(3)=120.98

Area: ([45*sqrt(5)]/2) + 600=605.3

Nimfa-mama [501]3 years ago

3 0

Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2

Step-by-step explanation:

We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.

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William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William

maks197457 [2]

William paid $11.70 for the pomegranates because 17% of 10 is 1.7. When you add that back to your original $10, you get $11.70.

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4 years ago

Gary has 9 quarts of paint. If He Uses Half How Much gallons will he have.

Anna007 [38]

Answer:

1.125 gallons

Step-by-step explanation:

The first thing you do here is convert 9 quarts to gallons. To convert from quarts to gallons you dvide by 4. So 9/4=2.25.

The next thing you do is divide this number by two to achieve your answer

2.25/2=1.125

So the final answer you would be after using half of his paint Gary is left with 1.125 gallons of paint

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3 years ago

4(2x+8)=10x+2-2x+30 what is x?

Anastaziya [24]

Let's solve your equation step-by-step.

4(2x+8)=10x+2−2x+30

Step 1: Simplify both sides of the equation.

4(2x+8)=10x+2−2x+30

(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)

8x+32=10x+2+−2x+30

8x+32=(10x+−2x)+(2+30)(Combine Like Terms)

8x+32=8x+32

Step 2: Subtract 8x from both sides.

8x+32−8x=8x+32−8x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All real numbers are solutions.

5 0

3 years ago

Amanda’s dog eats 12\frac{1}{2}12 2 1 pounds of dog food in 3 weeks.

jonny [76]

Answer:

y=mx+b

Step-by-step explanation:

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3 years ago

Solve the triangle. Round side measure to the nearest tenth and angle measures to the nearest degree.

shutvik [7]

First calculate the missing angle $\alpha$ . By knowing all angles in triangle have a sum of 180°.

$\alpha=180-(\gamma+\beta)$
$\alpha=180-(90+49)=\boxed{41}$

Now we required to use angle functions in a right triangle. The cosine of $\beta$ is equal to the relation of side $a$ and hypotenuse $c$ .

Now we solve this for hypotenuse.

$\cos(\beta)=\frac{a}{c}$

$c=\frac{a}{\cos(\beta)}$

Now put in the numbers.

$c=\frac{9}{\cos(49)}\approx\boxed{13.7}$

So we know the length of hypotenuse and length of side $a$ therefore side $b$ can be calculated using Pythagorean theorem: $c^2=a^2+b^2$ .

Solve for side $b$ .

$c^2=a^2+b^2$

$b=\sqrt{c^2-a^2}$

$b=\sqrt{13.7^2-9^2}\approx\boxed{9.7}$

So there you go. If you have any questions feel free to ask.

r3t40

6 0

4 years ago