All categories

3 years ago

HELP ME solve for the right triangle

Mathematics

1 answer:

VikaD [51]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent ratios in the right triangle

cos41° = $\frac{adjacent}{hypotenuse}$ = $\frac{VW}{VX}$ = $\frac{7}{VX}$

Multiply both sides by VX

VX × cos41° = 7 ( divide both sides by cos41° )

VX = $\frac{7}{cos41}$ ≈ 9.3

-----------------------------------------------------------------------

tan41° = $\frac{opposite}{adjacent}$ = $\frac{WX}{VW}$ = $\frac{WX}{7}$

Multiply both sides by 7

7 × tan41° = WX, thus

WX ≈ 6.1

-------------------------------------------------------------------------

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for ∠ X

∠ X = 180° - (90 + 41)° = 180° - 131° = 49°

You might be interested in

There was a layer of snow on joes driveway when it began to snow again. As the snow fell, joe measure the depth, in centimeters

OLga [1]

The minutes will be ur x axis and the cm of snow will be ur y axis

(10,2),(30,3.6).....using 2 points and the slope formula : (y2 - y1) / (x2 - x1)

slope = (3.6 - 2) / (30 - 10) = 1.6 / 20 = 0.08 cm per minute <===

4 0

3 years ago

How many x intercept appear on the graph of the polynomial function F(x)=x4-5x2

4vir4ik [10]

$f(x)=x^4-5x^2\\\\x^4-5x^2=0\\\\x^2(x^2-5)=0\\\\x^2[x^2-(\sqrt5)^2]=0\\\\x^2(x-\sqrt5)(x+\sqrt5)=0\iff x=0\ \vee\ x=\sqrt5\ \vee\ x=-\sqrt5$

Answer: 3 x-intercepts.

3 0

4 years ago

Consider the polynomial f(x)=2x^5-3x^4+x-6 (x )equals 2 x Superscript 5 Baseline minus 3 x Superscript 4 Baseline plus x minus 6

melamori03 [73]

Answer:

degree of polynomial = 5

leading term = $2x^{5}$

leading coefficient = 2

constant term = -6

Step-by-step explanation:

$f(x) = 2x^{5}-3x^{4}+x-6$

(i) The degree of the polynomial = 5. That is, the highest power of x

(ii) Leading term = $2x^{5}$ . This is the term with the highest power of x.

(iii) Leading Coefficient = 2. That is, the coefficient of the leading term ( $2x^{5}$ )

(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.

3 0

3 years ago

Find the value of X in each figure below

Mrrafil [7]

Answer:

168). C

169). C

170). C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

All angles in a triangle add up to 180 degrees.

So, 70 + 56 = 126, 180 - 126 = 54.

Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.

6 0

3 years ago

Find three consecutive numbers whose sum is 171.

-BARSIC- [3]

171/3 is 57. the three consecutive numbers are 56, 57 and 58.

244/4 is 61. the even integers are 58, 60, 62 and 64

5 0

3 years ago

Read 2 more answers