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3 years ago

Grade 10 math help please. Please show work

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Answer:

43.94?

Step-by-step explanation:

I think if you use inverse cos you should get the correct number. So, to find cos, you need to know the adjacent side and the hypotenuse. Here, the reference angle would be the person holding the kite. The distance from the person to the barn is the adjacent side, which is 18. The string of the kite, I assume, would be 25.

cos(∅) = $\frac{18}{25}$

cos(∅) = 0.72

cos⁻¹(0.72) = 43.94

I don't know if that's what you're looking for, but... If it's not correct, lmk so I can rewrite it. :)

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Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

at a track meet,Jacob and daniel compete in 220 m hurdles. Daniels finishes in 3/4 of the a min.Jacob finishes with 5/12 of a mi

Savatey [412]

Jacob has the faster time because if you make the fractions equal you would make the denominators equal by rounding 3/4 to have a denominator of 12 making it 9/12 which is larger then 5/12 making Daniel's time slower then Jacob's.

3 0

3 years ago

ASAP!!!!!!!!!!!!!!!!!!!

steposvetlana [31]

Answer:

V = 2143.57 cm^3

Step-by-step explanation:

We want to find the volume of the sphere

V = 4/3 pi r^3 where r is the radius and pi = 3.14

V = 4/3 ( 3.14) ( 8)^3

V = 2143.57333 cm^3

Rounding to the nearest hundredth

V = 2143.57 cm^3

3 0

3 years ago

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Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x - 6)2(x + 2)2

Tpy6a [65]

<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)

Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0

Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2

(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2

(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2

6 0

3 years ago

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What is the definition of constant

Pie

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7 0

3 years ago