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1 year ago

Use the triangle to answer the question.Find the value of x. Round to the nearest degree.

Mathematics

1 answer:

AlexFokin [52]1 year ago

5 0

Given:

base = 16

hypotenus = 21

$\cos \theta=\frac{base}{hypotenus}$

Angle = x

$\begin{gathered} \cos x=\frac{16}{21} \\ \cos x=0.76 \\ x=\cos ^{-1}(0.76) \\ x\approx40 \end{gathered}$

The value of x is 40 degree.

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Find the derivative of f(x) = 11x2 + 5x at x = 9.

Yakvenalex [24]

F(x) = 11x² + 5x

f'(x) = 22x + 5

Hence,

f'(9) = (22 * 9) + 5 = 198 + 5 = 203

3 0

3 years ago

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Please help guys!!!!!!!!!!!!!!

hram777 [196]

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

x = -10

4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 7

7 0

2 years ago

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What theorems can be used to prove the triangles are congruent?<br>SSS<br>ASA<br>AAS<br>HL

Arada [10]

Answer:

1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)

Step-by-step explanation:

3 0

3 years ago

Given f(x)=x^4-7x^3+6x^2+8x+9

posledela

The workings to the answers are in the attachments below. Open them up in a new window to see them in full.

Lowest Point On The Graph:

(4.480878208, -61.32441280)

Highest Point On The Graph:

(1.155422854, 17.23818241)

2nd Lowest Point On The Graph:

(-0.3863010618, 7.23076164)

8 0

3 years ago