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3 years ago

Given the triangle below, what is m A. 46.2 B. 41.40 C. 48.4 D. 38.6°

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

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A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus

ZanzabumX [31]

Answer:

42.64°

Step-by-step explanation:

Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.

From the diagram attached,

sinθ = opposite/adjacent

sinθ = 4/11

θ = sin⁻¹(4/11)

θ = 21.32

Therefore, from the diagram,

The smaller angle of the rhombus = 2θ

The smaller angle of the rhombus = (2×21.32)

The smaller angle of the rhombus = 42.64°

8 0

3 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

$A = \pi r^2$

where r is the radius of the circle.

Putting values, we get,

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Thus, the sprinkler can spread water 18 feet away.

6 0

4 years ago

Read 2 more answers

Write an equation of the line that passes through the given point, (1, 2).

Fiesta28 [93]

Answer:

Step-by-step explanation:

eq. of any line through (1,2) with slope m is

y-2=m(x-1)

if the line is parallel to x-axis then y=2

if the line is parallel to y-axis then x=1

7 0

3 years ago

WILL GIVE BRAINLIEST<br> sketch the graph of the following equation: y=|4-3x|

Firdavs [7]

Answer:

attached

Step-by-step explanation:

y=|4-3x| y: positive number

4 0

3 years ago

Write an expression that is equivalent to - 0.5(14a - 22) .

PSYCHO15rus [73]

$\textsf{Hey \: there}$

<h2>QUESTION</h2>

$\mathsf{-0.5(14a - 22)}$

<h2>FIRST YOU HAVE TO DISTRIBUTE:</h2>

$\mathsf{(-0.5)(14a) + (-0.5)( -22)}$

<h2>SOLVING FOR OUR ANSWER</h2>

$\mathsf{(0.5)(14a) = - 7a} \\ \\ \mathsf{( - 0.5)( - 22) = 11}$

<h2 /><h2>NEW EQUATION/THE ANSWER YOU WERE LOOKING FOR </h2>

$\boxed{ \bf{your \: answer:} \boxed{ \huge \textsf{ \bf- 7a + 11}}} \checkmark$

<h2>GOOD LUCK ON YOUR ASSIGNMENT AND ENJOY YOUR DAY!</h2>

$\dfrac{\frak{LoveYourselfFirst}}{:)}$

<h2>SIDE NOTE: THE DISTRIBUTIVE FORMULA IS</h2>

$\text{a(b + c)} \\ \text{a(b) + a(c)} \\ \text{a(b) = ab} \\ \text{a(c) = ac} \\ \text{ \underline{ = ab + ac}}$

5 0

3 years ago

Read 2 more answers