All categories

3 years ago

Match each value with its formula for ABC. (the triangle has C at the top sorry)

Mathematics

2 answers:

GREYUIT [131]3 years ago

8 0

<h2>Answer:</h2>

The required values respected to their options are given in the attached image

Fynjy0 [20]3 years ago

7 0

Answer:

The sine Identity for Triangle ABC having length of sides a, b and c can be written as:

$\Rightarrow \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\\\\1.\Rightarrow \frac{a\times \sin B}{b}=\sin A\\\\2.\Rightarrow \frac{b\times \sin C}{c}=\sin B\\\\3.\Rightarrow \frac{c\times \sin A}{a}=\sin C\\\\4.\Rightarrow \frac{\sin A}{\sin C} \times c=a\\\\.5\Rightarrow \frac{\sin B}{\sin A} \times a=b$

You might be interested in

Find the 14th term of the geometric sequence 2,4,8

murzikaleks [220]

Answer:

8192 pretty sure

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

X multiplied by 3 is greater than or equal to 21 What’s the inequality to this?

Andre45 [30]

Answer:

3x>= 21

Step-by-step explanation:

Happy 2 Help. Hope you get a good grade lol

5 0

3 years ago

Read 2 more answers

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

6 0

3 years ago

Shannon drew the line of best fit on the scatter plot shown below:

N76 [4]

Using the points (0,14) and (10,0), the gradient of the line is (14-0)/(0-5) which simplifies to -7/5.

From these points, we can also see that when the x value is zero, the y value is 14. Therefore the y-intercept is 14.

We can then put this into the equation of a straight line, y=mx+c:

y = (-7/5)x + 14

6 0

3 years ago

Read 2 more answers

An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area

vodomira [7]

Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²

3 0

3 years ago