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2 years ago

Questions 5-8 (geometry ?’s)

Mathematics

1 answer:

Whitepunk [10]2 years ago

8 0

5. is 19.53 Use the Pythagorean Theorem. The length of the ladder is the hypotenuse and 19 is the vertical side and the 4.5 is the horizontal side.

7. y= 20.4

I don't know the rest.

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Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista

defon

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

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5 0

2 years ago

Help me factor this completely

Tanya [424]

-12z^4 (x y^2 z^3 + 1)

7 0

2 years ago

Are the triangles similar? Justify your answer

cluponka [151]

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

4 0

2 years ago

Segment addition, how do u solve it? Step by step.

weeeeeb [17]

Answer:

x=7 DO=25 OG=35

Step-by-step explanation:

4x-3+2x+21=60 4(7)-3 2(7)+21

4x+2x -3+21 28-3=25 14+21=35

6x+18=60 DO=25 OG=35

60-18=42

6x=42

42/6=7

x=7

5 0

3 years ago

Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

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7 0

2 years ago