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2 years ago

The angle marked a = 75°. Work out the value of x. The diagram is not drawn accurately.

Mathematics

1 answer:

NikAS [45]2 years ago

4 0

Answer:

x+75=180

x=180-75

x=105

Step-by-step explanation:

x and a are on a straight line

a straight line=180

so you add the x to a=180

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Help with the following problem please

Effectus [21]

Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5

By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1

Area of outer circle = $\pi R^2=\pi7^2=49\pi$
Area of large shaded circle = $\pi x^2=\pi5^2=25\pi$
Area of 4 small shaded circles = $4\pi r^2=4\pi1^2=4\pi$
Total area of shaded circles = $25\pi+4\pi=29\pi$

Shaded area as a fraction of that of the outer circle
$=\frac{29\pi}{49\pi}=29/49$

3 0

2 years ago

What would the answer to this question be? show work please

AURORKA [14]

Answer:

Step-by-step explanation:

The volume of a rectangular prism is the length times width times height.

V = LWH

V = (4√3)(3√6)W

V = 12√18 W

V = 36√2 W

If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume. For example, √18 × √2 = √36 = 6.

Therefore, the answer must be B, because 12 is not half of a perfect square.

V = 36√2 (4√12)

V = 144√24

V = 288√6

5 0

3 years ago

Please!!!!!!!!! help!!!! me!!!!!!!!!!

LuckyWell [14K]

Hey! the answer is 8 dimes and 4 nickels

8 dimes = 8×10
and 4 nickels = 5×4 = 20
which 20+80 = 100
and I would put (D) break into parts
hope it helps!

5 0

3 years ago

Read 2 more answers

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Expl

EastWind [94]

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is $\pi r^2 h$ , where r is the radius of the base and h is the height of the cylinder.

$\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3$

Therefore, the correct answer is choice B. Hope this helps!

4 0

3 years ago

Read 2 more answers

M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ

Aleksandr [31]

Answer:

Step-by-step explanation:

Given the function that represents the amount of mosquitoes as;

M(x) = -(x-5)² + 25

To get the maximum mosquitoes possible, we need to first find x;

At the maximum dM/dx = 0

dM//dx = -2(x-5)

0 = -2(x-5)

-2(x-5) = 0

-2x + 10 = 0

-2x = -10

x = 10/2

x = 5

Substitute x = 5 into the function;

M(5) = −(5−5)² +25

M(5) = 0+25

M(5) = 25

Hence the maximum number of mosquitoes is 25

8 0

2 years ago