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lubasha [3.4K]
3 years ago
8

Which equation can you use to solve for the volume of the cake?

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

C. (40 × 60 × 10) + (30 × 60 × 10) = V

Step-by-step explanation:

Picture of the cake can be found in the attachment below :

To solve, we resolve the cake into two distinct boxes :

The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)

And the other which sits vertically ;

Volume = (length * width * height) = (10 * 60 * 40)

Then, we add;

Overall volume:

(60 * 30 * 10) + (10 * 60 * 40)

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Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.
OleMash [197]
I think u forgot to put pic for we can see the triangle
4 0
3 years ago
Read 2 more answers
What is the circumcenter of the points (2,6), (8,6), (8,10)
mario62 [17]

See https://web2.0calc.com/questions/need-help-now_10.

8 0
3 years ago
Help please!! 15 points!!
maxonik [38]

Answer:

A and D

Step-by-step explanation:

One side-base right triangle and one angle-based right triangle.

6 0
3 years ago
Read 2 more answers
One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?
Damm [24]
An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.
40^\circ + 40^\circ +x = 180^\circ \\
80^\circ + x=180^\circ \\
x=180^\circ - 80^\circ \\
x=100^\circ
The other two angles are 40° and 100°.
5 0
3 years ago
Read 2 more answers
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