10 A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?

Step-by-step explanation:

Given :-

Adding the equations :-

[tex]: \implies[/tex] 10y = -10

[tex]: \implies[/tex] y = -1

Put it (i) :-

[tex]: \implies[/tex] 4x - 8 = 20

[tex]: \implies[/tex] 4x = 20 + 8

[tex]: \implies[/tex] 4x = 28

[tex]: \implies[/tex] x = 28/4

[tex]: \implies[/tex] x = 7

Answer:

All beside D

Step-by-step explanation:

Answer:

CORRECT STATEMENTS:

Step-by-step explanation:

Answer:

-3 * -7 = 21

Step-by-step explanation:

-3(-7) = -3 * -7

Multiply

Remember: negative * negative = positive

So -3*-7 = 21

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Answer:

Yes

Step-by-step explanation:

I think so

Answer:

the solution is (2, -6)

Step-by-step explanation:

Substitute the second equation into the first, replacing y in the first:

2x - (-4x+2) = 10

Simplifying, we get:

2x + 4x - 2 = 10, or:

6x = 12, which yields x = 2.

Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6

Then the solution is (2, -6).

Answer:

40

Step-by-step explanation:

Answer:

[tex]x=6.183ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angel of side [tex]T=90[/tex]

Angel of side [tex]R=82[/tex]

Length Side [tex]TR=44[/tex]

Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by

Since Angle in Triangle =180 therefore

 [tex]\theta=180-(90+82)[/tex]

 [tex]\theta=8[/tex]

Therefore Applying sine rule to get Length of ST x

 [tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]

 [tex]x=\frac{44}{sin82}*sin8[/tex]

 [tex]x=6.183ft[/tex]

Answer:

$48

Step-by-step explanation:

Cora earns $20 for each lawn

She gives her father $12 EACH DAY for his lawn mower

In a day, she mows 3 lawns which is worth= 20*3= $60

but since it is in a day, she gives her father $12 for the day from the $60

Therefore, her final earning is, $60-$12= $48

Answer:

78×8/13=48

78×1/13 =6

78×4/13=24

8:1:4

48:6:24

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

Answer:

7 red shirts

6 green shirts

11 blue shirts

4 yellow shirts

Step-by-step explanation:

Let y represent the number of green shirts.

So y+5 is the number of blue shirts.

And y-2 is the number of yellow shirts.

And we have 5 red shirts.

Therefore,

7+5+y+y-2+y=28

12-2+3y=28

10+3y=28

3y=28-10

3y=18,divde through by 3

y=6

Answer: 203

Step-by-step explanation:

to find the area, you have to multiply the length of the sides together. 29x7 = 203

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

Answer:

D

Step-by-step explanation:

Since the formula of circumference is 2πr

Answer:

The box is 5 inches long.

Step-by-step explanation:

V=lwh

30=l(3)(2)

30=6l

30/6=l

5=l

Answer:

62.5

Step-by-step explanation:

300+180=480

300/480×100

Answer:

y=2(x + 2))^2 - 9

Step-by-step explanation:

So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.

With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9

Answer:

25

Step-by-step explanation:

C = √a^2+b^2

√7^2+24^2

√49+576

√625

C=25

Answer:

40

Step-by-step explanation:

6+7=13

13+8=21

21+9=30

30+10=40

If the solutions to a quadratic equation were -2 and 3 then,

А. The x-intercepts of the graph are also - 2 and 3.

C. The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0 is x² = x - 6 = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, The solutions to a quadratic equation were -2 and 3.

∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).

So,  The x-intercepts of the graph are also - 2 and 3.

The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0

=  (x + 2)(x - 3) = 0

= x² - 3x + 2x - 6 = 0

= x² = x - 6 = 0.

learn more about quadratic equations here :

https://brainly.com/question/17177510

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Answer:

1803 square meter

Step-by-step explanation:

The surface area of a cone

A=πr(r+V(h2+r2))

where A is the surface area, r is the radius and h is the height

Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence

radius = 18/2 = 9 m

A = 9π (9 + V(54^2 + 9^2))

= 9π (9 + V2997)

= 9π (9 + 54.74486)

= 1803.068976 Square meters

To the nearest square meter

A = 1803

Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6

Answer:

(14x+12)/5

Step-by-step explanation:

2 fifth of x = 2/5 * x= 2x/5

2 fifth of 6x = 2/5 * 6x = 12x/5

2 fifth of 6 = 2/5 * 6 = 12/5

2x/5 + 12x/5 + 12/5

= (2x+12x+12)/5

= (14x+12)/5

Answer: it’s B, 0.031

Step-by-step explanation: edge 2021

The answer is x=-10

Step-by-step explanation:

the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10

Hence the answer is x=-10

Answer:

x+2=8

x+2_2=8_2

x=6

x=2*3

x=6

Answer:

9π

Step-by-step explanation:

the area of a circle =

π×r² = π×3² = 9π

radius=r=3

Area

Answer:

The answer is 32 I just know it