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marin [14]
3 years ago
9

Can someone help me with this

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
I think it’s 90 but not sure
You might be interested in
The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
zhannawk [14.2K]

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

3 0
3 years ago
You are a traffic accident investigator. You have arrived at the scene of an accident. Two trucks of equal mass (3,000 kg each)
Kazeer [188]

Answer:

1) Kinetic energy of the truck 1 is 600,000 joules.

Kinetic energy of the truck 2 is 1,837,500 joules.

2 a)Potential energy of truck 1 is 646,800 Joules.

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

Step-by-step explanation:

Mass of the truck 1 and truck 2,m = 3000 kg

Velocity of the truck 1, v_1 = = 20 m./s

Velocity of the truck 2,v_2 = 35 m./s

1. Kinetic energy of the truck 1:\frac{1}{2}mv_{1}^2=\frac{1}{2}\times 3000 kg\times (20 m/s)^=600,000 joules

Kinetic energy of the truck 2:\frac{1}{2}mv_{2}^2=\frac{1}{2}\times 3000 kg\times (35 m/s)^=1,837,500 joules

2.a) Energy loose by the truck 1:

Initial height of the truck on the hill = 22 m

At that height potential energy will be maximum:

Potential energy of truck 1 at that height = mgh=3000\times 9.8 m/s^2\times 22 m=646,800 Joules

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

3 0
4 years ago
2476 adults watch a cricket match. The ratio men : women is 3 : 1 How many more men than women watch the match?
poizon [28]

he ratio of 3:1 involves 4 units. 3 men +1 woman.

Find how many people each unit represents:

    4units        2476 people

Therefore each unit represents 2476/4 = 619 people per unit

Now, take the ratio, and multiply up:

3:1  =>  3619:1619   =>   1857:619    You check this is right by adding the two fractions:

1857 men + 619 women = 2476 people therefore, we are correct

The number of men more than women = Number of men - Number of women

                                                       = 1857-619 = 1238 and that is your answer

4 0
3 years ago
It requires a minimum of ____ points to make up a plane
baherus [9]

Answer:

2

Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

3 0
3 years ago
Read 2 more answers
Find the volume and surface area of the composite figure. Give your answer in terms of pi
ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

V_1=\dfrac{1}{3}\pi r^2h

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

V_1=\dfrac{1}{3}\pi (8)^2(15)

V_1=\pi (64)(5)

V_1=320\pi

Volume of the hemisphere is:

V_2=\dfrac{2}{3}\pi r^3

Where, r is the radius.

Putting r=8, we get

V_2=\dfrac{2}{3}\pi (8)^3

V_2=\dfrac{1024}{3}\pi

V_2\approx 341.3\pi

Now, the volume of the composite figure is:

V=V_1+V_2

V=320\pi +341.3\pi

V=661.3\pi

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

A_1=\pi r\sqrt{h^2+r^2}

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

A_1=\pi (8)\sqrt{(15)^2+(8)^2}

A_1=\pi (8)\sqrt{289}

A_1=\pi (8)(17)

A_1=136 \pi

The curved surface area of the hemisphere is:

A_2=2\pi r^2

Where, r is the radius.

Putting r=8, we get

A_2=2\pi (8)^2

A_2=2\pi (64)

A_2=128\pi

Total surface area of the composite figure is:

A=A_1+A_2

A=136\pi +128\pi

A=264\pi

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0
3 years ago
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