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patriot [66]
3 years ago
7

Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
X is 12 your welcome pls make me brainliest answer
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Need help on these trig homework
allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 20 = \frac{x}{23}

Cross multiply

sin 20 × 23 = x

x = 0. 3420 × 23

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 37. 3 = \frac{x}{19}

cross multiply

x = 0. 6059 × 19

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

For side a, we use the Pythagorean theorem

c^2 = a^2 + b^2

85^2 = a^2 + 67^2

a = \sqrt{89^2-67^2}

a = \sqrt{3432}

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

\frac{59}{sin A } = \frac{85}{sin 90}

cross multiply

sin A × 85 = sin 90 × 59

make sin A subject of formula

sin A = \frac{59}{85}

sin A = 0. 6941

A = sin^-^1(0. 6941)

A = 44°

\frac{67}{sin B} = \frac{85}{sin 90}

cross multiply

sin B × 85 = sin 90 × 67

make sin b subject of formula

sin B = \frac{67}{85}

sin B = 0. 7882

B = sin^-^1( 0. 7882)

B = 52°

4. To find the sides, we use the sine rule;

\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}

Cross multiply

sin 56. 6 × c = sin 90 × 74

make 'c' subject of formula

c = \frac{74}{0. 8348}

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

c^2 = a^2 + b^2

b^2 = c^2 - a^2

b^2 = 88. 8^2 - 74^2

b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}

b = 49. 1 m

\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}

cross multiply

sin B = \frac{40. 99}{74. 0}

B = sin^-^1(0. 5539)

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

#SPJ1

3 0
1 year ago
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
irinina [24]

Answer:

(-3, 4)

It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept

4 0
3 years ago
Read 2 more answers
For the monthly rainfall data set of 7 cm, 3 cm, 10 cm, 7 cm, 12 cm, 10 cm, 8 cm, and 7 cm calculate the mean. * what is the mea
timama [110]
The mean would be 8 since you would have to add all of them up which would give you 64 and then divide by the amount of numbers their are which is 8 so 64/8 = 8
5 0
3 years ago
The ratio of red marbles to blue marbles in a bag is 3:4 . If there are 42 marbles in the bag. how many marbles are red?
PolarNik [594]

Answer:

18 marbles

Step-by-step explanation:

Step 1

Express the fraction of each type of marble as a function of the total number of marbles as shown;

Let;

total marbles=x

red marbles=3/(3+4)=3/7x

blue marbles=4/7 x

But x=42 marbles

The total number of marbles for each type can be expressed as;

total number of red marbles=fraction of red marbles×total number of marbles

where;

fraction of red marbles=3/7 x

total number of marbles=42

replacing;

total number of red marbles=(3/7)×42=18 marbles

total number of blue marbles=fraction of blue marbles×total number of marbles

where;

fraction of blue marbles=4/7 x

total number of marbles=42

replacing;

total number of blue marbles=(4/7)×42=24 marbles

5 0
2 years ago
What type of conic section is the following equation? x2 + (y - 5)2 = 12 parabola circle hyperbola ellipse
chubhunter [2.5K]

Answer: Circle

Step-by-step explanation:

It is a circle.

Center: (0,5)

r= √12 =2√3

7 0
3 years ago
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