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Answer:

: c2 = a2 + b2 - 2ab cos C

c²=20²+15²-2×15×20×cos50

c²=400+225-600×0.64

c²=241

c=√241=15.5ft

The value of c for the given triangle can be obtained as 239.3 ft.

The cosine law for a triangle is derived from the parallelogram law of addition for two vectors.

It is given as for a triangle having sides a, b and c, the cos of the angle between sides a and b is given by,

cos(x) = (a^(2) + b^(2) - c^(2)) / (2 × a × b).

For the given diagram of a triangle, law of cosines can be applied as,

c² = a² + b² - 2abCos C

Substitute a = 15, b = 20 and ∠C = 50° to obtain,

c² = 15² + 20² - 2 × 15 × 20Cos C

c² = 625 - 600Cos(50°)

⇒ c = 239.3

Hence, the length of the other side of the triangle can be obtained as  239.3 ft.

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Answer:

B,

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

Since nothing is known about the distribution, we use Chebyshev's Theorem.

What percentage of these commuting times are between 30 and 110 minutes

30 = 70 - 2*20

110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

Answer:

Typist A can type faster

Step-by-step explanation:

Replace the t in w = 50t with any numbers and graph the points you get

You can see that typist A can type 50 words per minute when typist B can only type 40

Answer:

8.22in

Step-by-step explanation:

Area of circle = πr²

r is the radius

Given

Area = 212in²

Substitute

212 = πr²

r² = 212/3.14

r² = 67.52

r = √67.52

r = 8.22in

hence the radius of the circle is 8.22in

Answer:

16 apples and 2 goes to the homeless shelter.

Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

Answer:

100 lol thanks

Step-by-step explanation:

25+25=50 50+25=75 75+25+100

Answer:

4/3

Step-by-step explanation:

because it is just that

Answer:

0.11111111111

Step-by-step explanation:

Answer:

im not sure

Step-by-step explanation:

Answer:

Well The answer is: 9

Step-by-step explanation:

(2 3/8 + 11/4)=

(2 + 3) + (3/8 + 3/4)= 6 1/8

(6 1/8 + 2 7/8) =

(6 + 2) + (1/8 + 7/8) = 9

Pls give me brainliest i hope this helped

Answer:

x ≤ -1

Step-by-step explanation:

3( 3x +2 ) - 5 ≤ -x -9

9x + 1 ≤ -x -9

10x ≤ -10

x ≤ -10 / 10

x ≤ -1

Answer:

x≤-1

Step-by-step explanation:

3(3x+2)-5≤-x-9

9x+6-5≤-x-9

9x+1≤-x-9

    -1      -1

9x≤-x-10

+x    +x

10x≤-10

10     10

x≤-1

9514 1404 393

Answer:

  Isabel

Step-by-step explanation:

Gavin saves 28% (given).

Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.

Isabel saves 3/(3+7)·100% = 30%.

Isabel saves the largest fraction of her salary each month.

Answer:

d. t-test for means

Step-by-step explanation:

Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"

Sample size = n = 120

Sample mean = x = 0.8

Sample standard deviation = s = 2

Claim: A particular diet helps loss weight.

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 0

Ha : μ < 0

Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.

Answer:

[tex]4b + 2m = 2(2b + m)[/tex]

Step-by-step explanation:

Given

[tex]4b + 2m[/tex]

Required

Write an equivalent expression

To do this, we simply write [tex]4b + 2m[/tex] as a product of two factors.

Express 4b as 2 * 2b

[tex]4b + 2m = 2 * 2b + 2m[/tex]

Express 2m as 2 * m

[tex]4b + 2m = 2 * 2b + 2 * m[/tex]

Factor 2 out of the expression:

[tex]4b + 2m = 2 *(2b + m)[/tex]

[tex]4b + 2m = 2(2b + m)[/tex]

Hence:

An equivalent expression is: [tex]2(2b + m)[/tex]

Answer:

15

Step-by-step explanation:

The amount of zeros of a function depends on the highest degree of such function.

Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros

Answer:

30 cm

Step-by-step explanation:

the area is 1/2 base x height

so (1/2)x10 x 12

Answer:

60 cm squared

Step-by-step explanation:

The 13 cm is just to distract you.

The formula for calculating a triangle is (base x height)/2.

The base is 10 cm, and the height is 12 cm.

Then you plug in the numbers.

(10 x 12)/2=60 cm squared.

Answer:

In my knowledge

3/12 = 8/2

3×8=24, 12×2=24 = 8/2

so

8/2 is the fraction that is equivalent to three twelfths

Answer:

12%

Step-by-step explanation:

75/84= 0.88 then you do 1-0.88= 0.12. 12%

Answer:

C

Step-by-step explanation:

[tex]x^{3}[/tex]=volume of cube

x= length, width, or height

9*9*9=729

C

Answer:

C.

Step-by-step explanation:

Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)

Answer:

So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

The total angle measure of a triangle, no matter the type, is always 180 degrees.

Using this, we can calculate the missing angle:

[tex]180=65+35+x[/tex]

[tex]x=180-(65+35)[/tex]

[tex]x=180-100[/tex]

[tex]x=80[/tex]

The measure of angle x in the triangle is 80 degrees.

The figure in the image is a triangle.

From the diagram:

Angle 1 = x

Angle 2 = 65 degrees

Angle 3 = 35 degrees

To solve for the measure of angle x, we use the fact the the sum of the interior angle of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

Plug in the values:

x + 65 + 35 = 180

Collect and add like terms:

x + 100 = 180

Subtract 100 from both sides:

x + 100 - 100 = 180 - 100

x = 180 - 100

x = 80°

Therefore, angle x has a measure of 80 degrees.

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Answer:

The answer is 44.66

Step-by-step explanation:

Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

Answer:

= 426 1/4 hr.

Step-by-step explanation:

5 1/2 = 5.5 Days in a week

7 3/4 = 7.75 hr. Per Day

Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week

In 10 weeks = 42.625 × 10 = 426.25 hr.

Answer: I think its $6

Step-by-step explanation: Because, if she spent a total of $11, and we know that she spent $5, you would subtract the 11 and the 5 to get 6. Hope this helps!