What is the correct transformation?

Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometric

BaLLatris [955]

Answer:

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The area is the function of the two dimensions.

If each dimension has changed by 10 times, the the area will change by:

10*10 = 100 times

Correct choice is C

3 0

3 years ago

Read 2 more answers

55% of what number is 22?

Ilya [14]

Answer:
The number is 40

Explanation:
Assume that the number we are looking for is x.
We know that 55% of the number x is 22.
This means that:
55% of x = 22
55% * x = 22
0.55x = 22

Now, we will simply solve for x as follows:
0.55x = 22
x = $\frac{22}{0.55}$ 
x = 40

Hope this helps :)

5 0

3 years ago

mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many k

Bumek [7]

Answer:

a. 35 Kilometres.

b. 60 litres.

c. 8150 sweets.

Step-by-step explanation:

Given the following data;

Distance traveled = 770 km
Number of days = 22 days

a. To find how many kilometres he traveled in one day;

770 km = 22 days

X km = 1 day

Cross-multiplying, we have;

22X = 770

X = 770/22

X = 35 Kilometres.

b. To find how many litres he would need to go 840 km;

1 litre = 14 kilometres

X litres = 840

Cross-multiplying, we have;

14X = 840

X = 840/14

X = 60 litres.

c. To find how many sweets are there in his car;

Number of sweet box, Ns = 326 boxes

Number of sweets in each box, Sw = 25 sweets

Total number of sweets = Ns * Sw

Total number of sweets = 326 * 25

Total number of sweets = 8150 sweets.

4 0

3 years ago

If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta

FromTheMoon [43]

Answer:

$\displaystyle cos\theta=-\frac{\sqrt{5}}{3}$

$\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

Trigonometric Formulas

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

$sin^2\theta+cos^2\theta=1$

The tangent can be found by

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}$

The cosine and the secant are related by

$\displaystyle cos\theta=\frac{1}{sec\theta}$

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

$\displaystyle sin\theta=\frac{2}{3}$

Find the cosine by solving

$sin^2\theta+cos^2\theta=1$

$\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1$

$\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}$

$\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}$

$\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}$

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}$

Rationalizing

$\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}$

$\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}$

5 0

4 years ago

64, 32, 16, 8,.... Find the 9th term

arsen [322]

Answer:

The ninth term would 0.25.

Step-by-step explanation:

The pattern happening here is that the number is being divided by 2.

So, continuing the pattern, continue dividing by 2.

8÷2= 4 ----> 5th term

4÷2= 2 ----> 6th term

2÷2= 1 ----> 7th term

1÷2= 0.5 ----> 8th term

0.5÷2= 0,25 ---> 9th term

5 0

4 years ago