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3 years ago

Find the area of the triangle.

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer: 12 unit^2
==================================
working:
area of triangle = base x height

to find the base:
4 - (-2)
= 4 + 2
= 6

to find the height:
5 - 1
= 4

to find the area fo the triangle:
4 x 6 x 0.5
= 12

I think you should know how I found the base but for the height, picture a perpendicular line going down to the bottom of the triangle, it will be touching (1,1). Therefore, I used 5 from (1,5) minus 1 from (1,1)

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I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

Diano4ka-milaya [45]

Answer- 971.76 yd^3 (btw I used pi not 3.14)
Explanation:
Solve for the volume of the cone
V=pi*r^2*h/3
V=pi*10^2*22/3
V= 2408.55
Next solve for the volume of the sphere
V=4/3*pi*r^3
V=4/3*pi*7^3
V=1436.76
The last step it to subtract the volume of the sphere from the volume of the cone
2408.55-1436.76=971.76

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3 years ago

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2 years ago

Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture

Iteru [2.4K]

Given:

The function for size of a square frame is

$f(x)=x+2$

where, x is the side length of the picture.

The function for the price in dollars for the frame is

$p(x)=3x$

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

$(p\circ f)(x)=p(f(x))$

$(p\circ f)(x)=p(x+2)$ $[\because f(x)=x+2]$

$(p\circ f)(x)=3(x+2)$ $[\because p(x)=3x]$

Let the name of this function is c(x). So,

$c(x)=3(x+2)$

Therefore, the required function is $c(x)=3(x+2)$ .

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3 years ago

If an integer n has three unique prime divisors, then it follows that the largest prime divisor of n is less than or equal to cu

TiliK225 [7]

Answer:

False

Step-by-step explanation:

Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

$n=q * p * r$

Now, if

$q * p < r$

then

$n < r * r = r^2$

So:

$\sqrt{n} < \sqrt{r^2} = r$

Also, for every natural greater than one, we know:

$\sqrt[3]{n}$

from which:

$\sqrt[3]{n} < r$

So, we see, this means the preposition is false, we can find a particular counterexample:

q=2

p=3

p*q = 6

We need to choose a prime greater than 6

r=7

n= 2 * 3 *7 = 42

$\sqrt[3]{42} = 3.4760 < 7$

4 0

3 years ago

I really need help rn T_T plz help me out!

pshichka [43]

Answers:

The lengths of sides PQ and RS are  13 
The lengths of sides QR and SP are 20

This is a 13 by 20 rectangle.

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

Explanation:

Refer to the drawing below.

Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.

We're told that RS = SP - 7 which is the same as saying RS = x-7

We also know that PQ = x-7 as well because PQ is opposite side RS.

In short, we have these four sides in terms of x

PQ = x-7
QR = x
RS = x-7
SP = x

as shown in the drawing. The four sides add up to the perimeter of 66.

PQ+QR+RS+SP = perimeter

PQ+QR+RS+SP = 66

(x-7)+x+(x-7)+x = 66

4x-14 = 66

4x = 66+14

4x = 80

x = 80/4

x = 20

Use this x value to find the unknown side lengths.

PQ = x-7 = 20-7 = 13
QR = x = 20
RS = x-7 = 20-7 = 13
SP = x = 20

In short, this is a 13 by 20 rectangle.

-----------------

Check:

perimeter = side1+side2+side3+side4

perimeter = PQ+QR+RS+SP

perimeter = 13+20+13+20

perimeter = 33+33

perimeter = 66

The answer is confirmed.

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2 years ago