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user100 [1]
3 years ago
11

Find the surface area of the square pyramid shown below.​

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

The surface area is 40

Step-by-step explanation:

It is 40 because you have to find the area of each face so you would do 3*4 which equals 12 and since there is 4 of the triangles you do 12*4 which is 48 but when it's a triangle you have to cut it in half so it would really be 24.

Then for the square on the bottom you would do 4*4 which is 16 and then you would add the totals to get 40.

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Solve the system of linear equations by graphing x - 3y = 3 4x + 3y = - 3​
Colt1911 [192]

Answer:

Assuming your equations are:

x-3y=3

4x+3y=-3

The answers are x = 0 and y = -1.

See the image for the graph.

If this solution helped you, consider upvoting it and giving a brainliest!

Step-by-step explanation:

See the image for the graph.

3 0
2 years ago
Simplify the expression IabI if a>0 and b>0
Brums [2.3K]

Answer:

Step-by-step explanation:

The "ab" inside absolute value has to go out positive, such as |-2|=2

Since both the a and b values are positive, the value of |ab| should be "ab"

For example:

a=2

b=3

|ab| = |2*3| = |6| = 6

7 0
3 years ago
This design shows several circles with the same center. The total radius of the design is 8 inches. The angle shown has a measur
Burka [1]

Answer:

11.33 in.  to the nearest hundredth.

Step-by-step explanation:

The perimeter of the shaded area =   length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.

Calculate the length of the outer arc:

This equals (30 / 360) * perimeter of the largest circle

= 1/12 * 2 π * 8

= 4/3 π in.

The inner circle has a radius of  8 - 2 = 6 ins

so the length of the inner arc

= 1/12 * π * 2 * 6

= π in.

So the perimeter of the shaded region = 4 + 4/3 π + π

= 4 + 7π/3

=  11.33 in.

7 0
3 years ago
Read 2 more answers
Write 2.4 as a mixed number and as an improper fraction.<br> Write your answers in simplest form.
Y_Kistochka [10]

Answer:

Step-by-step explanation:

24/10, 2 4/10 , 12/5

3 0
3 years ago
Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

3 0
3 years ago
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