<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
19</span>²<span> = 13</span>²<span> + X</span>²<span>
X - length of the third side
361 = 169 + X</span>²<span>
X</span>²<span> = 361 - 169
X</span>²<span> = 192
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
Answer:
Don't quote me on this but I believe the answer is that he is 8 years old right now if that's what you're looking for
Step-by-step explanation:
8 + 16 = 24
8 × 3 = 24
That's what I thought
Answer:
1.) 16.5
2.) 24.2 ft
3.) 10.8 ft
Step-by-step explanation:
1.) So first you need to use Heron's formula
S = (A + B + C)/2
So
S = (17 + 17 + 8)/2
S = 21
Now
Area = 
So

So the Area is equal to 66.1
Now to find the height we use the Area of the triangle formula
A = 1/2 B*H
66.1 = 1/2(8) * H
66.1 = 4H
H = 16.525
So the height of the triangle is 16.5 units tall
2.) For this question you just use the Pythagorean theorem.
a² + b² = c²
So 22² + 8² = c²
484 + 64 = c²
548 = c²
= c
c = 24.1660919472 ft
So the length of the wire is 24.2 ft long
3.) Again this is the Pythagorean theorem.
a² + b² = c²
So 10² + 4² = c²
100 + 16 = c²
116 = c²
= c
c = 10.7703296143 ft
So the length of the banner is 10.8 ft long
12.
Distribute the negative
2x - 5 - 9y + 8 + 16y
Simplify
2x + 7y + 3
13.
Square is 4 sides, all sides are equal
4 ( 4x + 3)
16x + 12
Please mark Brainliest if it helped.
Answer:

Step-by-step explanation:
Let's set up a proportion using the following setup:

We know that the florist can arrange 4 in 92 minutes.

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.


Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.




The florist can arrange <u>9 arrangements</u> in 207 minutes.