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2 years ago

8. John's kite is 45 ft above the ground.

Mathematics

1 answer:

skad [1K]2 years ago

6 0

Answer:30

Step-by-step explanation:

45-12=33 nearest tenth is 30

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Use angle relationships to find the value of x.

Juli2301 [7.4K]

Answer:

x=12.

Step-by-step explanation:

Let's get this straight out of the way, the 3 angles of a triangle ALWAYS add up to 180. Now that that's said, lets begin. Since the opposing side of an angle is the same as the regular side, we simplify to get: 5x+120=180. 180-120=60. so 5x=60. 60/5=12. so x=12.

7 0

2 years ago

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In this lesson, you learned new formulas to find the area of a triangle. How are these formulas different from the commonly know

Yuki888 [10]

Aside from the conventional formula for triangle, A=½bh which is only applicable to problems where the base and height are already given and the triangle is a right triangle having a degree of 90. There are some formulas in getting the area of a triangle:

>Given three sides of the triangle, use Heron's Formula
A= sqrt(s(s-a)(s-b)(s-c))
s= (a+b+c)/2
>Given two sides with an included angle
Area = 1/2 ab sin (tetha)
tethat should be in degrees

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3 years ago

Find the area of a sector that has a central angle of 40 and a radius of 2 cm. Round your answer to the nearest 100th. Use 3.14=

Aneli [31]

I think the answer is around 1.4 as you need to multiply the area by 1/9 after finding the real area.

6 0

3 years ago

X-y=6 2x-3z=16 2y+z=4 Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

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3 years ago

Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea

Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

$C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.$

The total cost to make 50 puppets=$1025

3 0

3 years ago

Read 2 more answers