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3 years ago

Which angle is the included angle for JL¯¯¯¯¯ and JK¯¯¯¯¯ ?

Mathematics

1 answer:

anygoal [31]3 years ago

5 0

We have to find the included angle between $\overline{JL}$ and $\overline{JK}$ .

An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

Here, in the given triangle KLJ, Angles formed along the line segment JL are $\angle J$ and $\angle L$ .

Angles formed along the line segment JK are $\angle J$ and $\angle K$ .

So, the included angle between the line segments JL and JK is $\angle J$ .

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1- Find the surface area and volume of each solid figure.

Bess [88]

Answer:

Volume

Figure 1 = 56 cube units

figure 2 = 60 cube units

figure 3 =72 cube units

Surface area

Figure 1 = 100 square units

figure 2 = 104 square units

figure 3 =108 square units

Step-by-step explanation:

From the all figure we can see that each figure made up of unit cubes

Figure 1

Surface area

Large cuboid portion =2 x (6 x 2 ) + (6 x 4) + 2 x(4 x 2) + 16

= 24 + 24 + 16 + 16 = 80 unit square

Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20

Total surface area = 80 + 20 = 100 unit square

Volume

Small cuboid = 4 x 2 = 8

Large cuboid = 6 x 4 x 2 = 48 cube unit

Total volume = 48 + 8 = 56 cubs units

Figure 2

Surface area

Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square

Volume

Small cuboid = 6 x 2 = 12

Large cuboid = 6 x 4 x 2 = 48 unit square

Total volume = 48 + 12 = 60 cube units

Figure 3

Surface area

Total surface area = 48 + 36 + 24 = 108 square units

Volume

Total volume = 6 x 4 x 3 = 72 cube units

7 0

4 years ago

a triangular prism has a height of 3.7 meters and a base with an area of 42.1 square meters. What is the volume of the prism?

tino4ka555 [31]

Answer:

155.77m^3

Step-by-step explanation:

Height = 3.7m

base area= 42.1m^2

w.k.t Volume= base area X Height

= 42.1 X 3.7

= 155.77m^3

6 0

3 years ago

How is this problem done 5/2+2/3+n=1/6

balandron [24]

The main thing you have to do is get the common denominator...hope the picture helps

3 0

3 years ago

What is the minimum or maximum value if the function X^2 + 30x + 21

Margaret [11]

Answer:

x2-30x-21=0

Step-by-step explanation:

x =(30-√984)/2=15-√ 246 = -0.684

x =(30+√984)/2=15+√ 246 = 30.684

3 0

3 years ago

-5/12-(-9/3) Reduce to simplest form

Lelechka [254]

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

3 0

4 years ago