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3 years ago

Solve for x 3(x - 8)= 29.7

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

X= 17.9

Explanation:
3(x-8)=29.7 Given
3x-24=29.7 Distribute
3x=53.7 Add positive 24 on both sides
X= 17.9 Divide by 3

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If f (1) =4 and f(4)= f (n-1)-4 then find the value of f(4)

GaryK [48]

f(1) = 4 is given

f(n) = f(n-1)-4 is the recursive step or rule

f(2) = f(2-1)-4 ... replace n with 2

f(2) = f(1) - 4

f(2) = 4-4 ... replace f(1) with 4

f(2) = 0

----------

Repeat for n = 3

f(n) = f(n-1)-4

f(3) = f(3-1)-4

f(3) = f(2) - 4

f(3) = 0 - 4 .... replace f(2) with 0, which is from f(2) = 0 found earlier

f(3) = -4

---------

Repeat for n = 4

f(n) = f(n-1)-4

f(4) = f(4-1)-4

f(4) = f(3) - 4

f(4) = -4-4 ... plug in f(3) = -4

f(4) = -8

<h3>Answer is -8</h3>

3 0

3 years ago

Help for these to two pls

NeTakaya

Answer:

1) 65%

2)-44%

Step-by-step explanation:

Formula:

((new value - old value)/(old value) )*100

If positive, it's an increase

if Negative, it's a decrease.

4 0

2 years ago

Find the slope of the equation below and show the work. X=4

gladu [14]

Answer:

Undefined

Step-by-step explanation:

If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually $x=d$ , where $d$ is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.

The slope of vertical lines is undefined.

I hope this helps!

7 0

3 years ago

Hershey’s is making pumpkin-shaped chocolates for Halloween. These are spherically formed with a radius of 2 cm. What is the min

Lady_Fox [76]

Answer:

Sa = 1.5*V

Step-by-step explanation:

We have that the surface area of a sphere has the following formula:

Sa = 4*pi*r^2

we know that r = 2, so if we replace it, we're left:

Sa = 4*pi*(2^2)= = 4*pi*4

Sa = 16*pi

Now, the volume has the following formula:

V = 4/3*pi* r^3

Replacing it is our job:

V = 4/3*pi* (2^3) = 4/3*pi*8

V = 32/3*pi

Now, Sa/V, it would remain:

Sa/V = 16*pi / 32/3*pi

Sa/V = 48/32 = 1.5

Therefore, Sa = 1.5*V

4 0

3 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

================================================================

Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

================================================================

Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

================================================================

Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago