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3 years ago

Help asap please!! thank you

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer: The third option

Step-by-step explanation:

(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.

to find the area of a semi circle the formula is: (1/2) π ( $r^{2}$ )

The radius is 2.5 because the diameter is 5, and the radius is half the diameter.

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Please help I'm begging

Elina [12.6K]

The figure is made up of a cone and a cylinder.

Diameter = 16 ft
radius = 16÷2 = 8ft

Volume of the cone = 1/3bh
Volume of the cone = $\frac{1}{3} \pi r^{2} h$
Volume of the cone = $\frac{1}{3} \pi 8^{2}(6)$ = 402.12

Volume of the cyclinder = bh
Volume of the cylinder = $\ \pi r^{2} h$
Volume of the cylinder = $\ \pi 8^{2}(4)$ = 1206.37

Total = 402.12 + 1206.37 = 1608.49 cubic feet

6 0

3 years ago

Two angles are supplementary one angle measure 12 more than the other find the measures

Furkat [3]

We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;

5 0

3 years ago

1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t

Sophie [7]

$1)\text{ }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

$\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}$ $N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

$\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}$

So after 70 days, 5.625 mg will be left

4 0

1 year ago

Solve system by Substitution method, provide steps. y = 5x - 18 -5x+6y = 17

Sedaia [141]

Answer:

x=5

Step-by-step explanation:

-5x+6(5x-18)=17

-5x+30x-108=17

25x-108=17

25x=17+108

25x=125

x=5

5 0

2 years ago

Figure A is dilated by a scale factor of 1 to form Figure B.

son4ous [18]

Answer:

C. 8 inches

Step-by-step explanation:

Note. The original question is attached.

Solution:

Scale factor is 1/2 and the corresponding side has a length of 16 inches.

The value of x is:

x = 1/2*16 = 8 inches

Correct option is C

6 0

2 years ago