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3 years ago

Determine the measure of x

Mathematics

2 answers:

grigory [225]3 years ago

3 0

Answer: 43 degrees

Step-by-step explanation:

mihalych1998 [28]3 years ago

3 0

Answer:

The value of x is 41.1 units .

Step-by-step explanation:

You have to use Cosine Rule, cosθ = adjacent/hypotenuse. Then substitute the following values into the formula :

$\cos(θ) = \frac{adj.}{hypo.}$

Let θ = 47°,

Let adj. = 28,

Let hypo. = x,

$\cos(47) = \frac{28}{x}$

$x \cos(47) = 28$

$x = \frac{28}{ \cos(47) }$

$x = 41.1 \: units \: (3s.f)$

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3 years ago

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Mekhanik [1.2K]

Answer:

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3 years ago

A plane is flying from Albuquerque new Mexico to Austin Texas so far it has flown 161 miles or 23% of the total distance of the

Karo-lina-s [1.5K]

Answer: 700 miles.

Step-by-step explanation:

1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.

2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call $x$ ) as following:

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3 years ago

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Soloha48 [4]

Answer:

See explanation

Step-by-step explanation:

1st photo:

x = $\sqrt{15}$

$\frac{x}{5} = \frac{3}{x}$

$x^{2}$ = 15

x = $\sqrt{15}$

2nd photo:

(a) GEH ~ FGH ~ FEG

similar triangles, use similar corners in the right order

(b) $\frac{FE}{GE} = \frac{GE}{EH}$ AND $\frac{FH}{GH} = \frac{GH}{HE}$

similar triangles, use similar sides in proportion

3rd photo:

x = 4.5 or 4 1/2

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4th photo:

Length of string = 118.2 ft

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7 0

3 years ago

If three pears and four oranges cost $4.85 and three pears and ten oranges cost $8.75 what is the cost of a pear and an orange

marishachu [46]

Answer:

1 pear = $0.75; 1 orange = $0.65

Step-by-step explanation:

(1) 3P + 4O = 4.85

(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)

3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms

6O = 3.90 Divide each side by 6

O = $0.65 Substitute into Eqn (1)

3P + 4×0.65 = 4.85

3P + 2.60 = 4.85 Subtract 2.60 from each side

3P = 2.25 Divide each side by 3

P = $0.75

Oranges cost $0.65 each and pears are $0.75 each

4 0

3 years ago