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STALIN [3.7K]
2 years ago
11

Pls help me out on this ill will give brainiest for the best answer

Mathematics
1 answer:
Svetach [21]2 years ago
7 0

Answer:

Step-by-step explanation:

butt

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The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
GarryVolchara [31]

Answer:

\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height

Given:

  • area = 18 cm²
  • base = 6 cm
  • height = (h + 1) cm

Substitute the given values into the equation and solve for h:

\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)

\sf \implies 18 = \sf \dfrac62 (h+1)

\sf \implies 18 =3(h+1)

expand using distributive property of addition a(b+c)=ab+ac:

\sf \implies 18=3h+3

subtract 3 from both sides:

\sf \implies 3h=15

divide both sides by 3:

\sf \implies h=5

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0
2 years ago
Read 2 more answers
A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:
natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(30^{\circ})=\frac{AC}{AB}

\text{sin}(30^{\circ})=\frac{18}{AB}

AB=\frac{18}{\text{sin}(30^{\circ})}

AB=\frac{18}{0.5}

AB=36

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is \frac{36}{2}=18.

Therefore, the radius of given circle would be 18 cm.

8 0
3 years ago
HELP ME!!!!!!!!!! the problem is on the picture.
FrozenT [24]

(C) cause 17•3=51+39= 90 and that’s a 90 degree

8 0
3 years ago
3b+(-5)=(2b)³(-3)2+6=?​
Flauer [41]

Answer:

b=-1

Step-by-step explanation:

given.3b+(-5)=(2b)³(-3)2+6=?

3b-5=8b-6+6

3b-5=8b

-5=8b-3b

-5=5b

-5/5=5b/5

b=-1

-3-5=-8-6+6=?

-8=-8=-8

7 0
2 years ago
There are three different cubes such that the first cube is 64 times the volume of the second, and the volume of the second cube
tankabanditka [31]

Answer:

4/3

Step-by-step explanation:

If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:

V1 / V2 = 64

s1 / s2 = \sqrt[3]{64}  = 4

Doing the same for the second and third cubes, we have:

V2 / V3 = 1/27

s2/ s3 = \sqrt[3]{1/27}  = 1/3

So the ratio of the first cube side and the third cube side is:

s1 / s3 = (s1/s2) * (s2/s3) = 4 * (1/3) = 4/3

5 0
3 years ago
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