Use the law of cosines to find the value of cos0. Round your answer to two decimal places.
A.0.22
B.0.84
C.0.35
D.-1.04

Answer:

x=55°

Step-by-step explanation:

x=180°-125°

x=55°

Answer:

Step-by-step explanation:

Equation

3x + 9 + 2x = x - 2x - 3              

Solution

Combine all the like terms.

3x+2x+9 =  x - 2x - 3

5x + 9 = -x - 3                            Add x to both sides of the equation

5x+x +9 = -x+x -3                      Combine

6x + 9 = - 3                                Subtract 9 from both sides of the equation

6x+9-9 = - 3-9                           Combine

6x = -12                                      Divide both sides by 6

6x/6 = -12/6

x = - 2

Answer x = - 2

Considering the given graph of the function, we have that:

To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).

In the graph of this function, we have that when x = 1, y = -3, hence:

More can be learned about functions at https://brainly.com/question/25537936

#SPJ1

Answer:

[tex]\huge\boxed{\sf x\leq 2}[/tex]

Step-by-step explanation:

[tex]56-10x\geq 20+8x\\\\Subtract \ 20 \ from \ both \ sides\\\\56-20-10x\geq 8x\\\\36-10x\geq 8x\\\\Add \ 10x \ to \ both \ sides\\\\36\geq 8x+10x\\\\36\geq 18x\\\\Divide \ 18 \ to \ both \ sides\\\\2 \geq x\\\\OR\\\\x\leq 2\\\\\rule[225]{225}{2}[/tex]

[tex]\bf{56-10x\geq 20+8x }[/tex]

Subtract 8x on both sides.

[tex]\bf{56-10x-8x\geq 20 }[/tex]

Combine −10x and −8x to get −18x.

[tex]\bf{56-18x\geq 20 }[/tex]

Subtract 56 from both sides.

[tex]\bf{-18x\geq 20-56 }[/tex]

Subtract 56 from 20 to get −36.

[tex]\bf{-18x\geq -36 }[/tex]

Divide both sides by −18. Since −18 is <0, the inequality direction is changed.

[tex]\bf{x\leq \dfrac{-36}{-18} }[/tex]

Divide −36 by −18 to get 2.

[tex]\bf{x\leq 2 \ \ \to \ \ \ Answer}[/tex]

We conclude that the correct option is "C".

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as [tex]\frac{opposite}{hypotenuse}[/tex]. So let's plug in known values:

[tex]sin(43) = \frac{27}{x}[/tex]

Multiply both sides by x

[tex]sin(43) * x = 27[/tex]

divide both sides by sin(43)

[tex]x=\frac{27}{sin(43)}[/tex]

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

[tex]x=\frac{27}{0.682}[/tex]

simplify the fraction

[tex]x\approx39.59[/tex]

Answer:

Answer: x ≤ q - 17/6.

Step-by-step explanation:

Divide both sides of the inequality by the coefficient of variable

There are 80 different combinations of 3 cupcakes are there if order does not matter

The given parameters are:

Flavors = 10

Flavors to choose = 3

The number of combination is calculated using:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 * 9 * 8 * 7!}{7!3 * 2 * 1}[/tex]

Evaluate quotient

[tex]^{10}C_3 = 80[/tex]

Hence, there are 80 different combinations of 3 cupcakes are there if order does not matter

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Option 1. The equation that represents the direct variation that exists between a and b is b = –a.

The direct variation is of this form y ∝ x

This gives the equation

y = kx

The constant is k

From our question we have

b ∝ a so b = ka

b = [tex]2\frac{3}{4}[/tex]

a = [tex]-2\frac{3}{4}[/tex]

Remember that b = ka

[tex]2\frac{3}{4} = -2\frac{3}{4} k[/tex]

This would cancel out to

1 = -k

or k = -1

Hence the equation would be written as

b = -a

Read more on direct variation here:

https://brainly.com/question/9983911

#SPJ1

Answer:

.88

Step-by-step explanation:

[tex] \sqrt{.7775} = .88[/tex]

The standard deviation is the square root of the variance.

Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).

For each sample, the mean and the standard error are given as follows:

For the distribution of differences, they are given by:

The interval is given by:

[tex]\overline{p} \pm zs[/tex]

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Hence the bounds of the interval are:

[tex]\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534[/tex]

[tex]\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Number of pink T-shirts was 342

Given: 24% of the T-shirts were white

Let, total number of T-shirts be x

According to question,

Total number of white T-shirts = 24x/100

Total number of pink T-shirt =  24x/100+ 198

Total number of red T-shirts = 114

According to the question:

24x/100+24x/100+ 198 + 114 = x

312 = x - 48x/100

312 = 52x/100

x = (312*100)/52

x = 600

so Number of pink T-shirts :

=(24*600)/100+198

= 144 + 198

= 342

Hence total Number of pink T-shirts was 342.

To learn more about Linear equations in one variable visit:

https://brainly.com/question/85774

#SPJ4

Answer:

see attached graphs

Step-by-step explanation:

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Parent function:  [tex]f(x) = x[/tex]

Each transformation is a transformation of the parent function only:

Translation of 4 units down

[tex]\implies f(x)-4=x-4[/tex]

[tex]\implies y=x-4[/tex]

A stretch by a factor of 3

[tex]\implies 3f(x)=3x[/tex]

[tex]\implies y=3x[/tex]

A reflection and a translation 1 unit up

[tex]\implies f(-x)+1=-x+1[/tex]

[tex]\implies y=-x+1[/tex]

11812.5 Jamaican dollars is equivalent to $135

The conversion rate is given as:

$1 = JA 87.50

Multiply both sides of the conversion rate by 135

135 * $1 = JA 87.50 * 135

Evaluate the product

$135  = JA 11812.5

Hence, 11812.5 Jamaican dollars is equivalent to $135

Read more about metric units at:

https://brainly.com/question/2004114

#SPJ1

[tex]revenue = selling \: price \times quantity \: sold[/tex]

[tex]m(t) = 3t[/tex]

#1

Because

revenue=sold price×no of items

#2

The restriction is of 75tickets and the tickets can't be negative

so

Domain

Using a calculator for the chi-square distribution, the critical value is given by:

A) 20.090

For a chi-square critical value, three parameters are needed:

In this problem, we have a one-tailed test(as we are testing if the mean is greater than a value), with a significance level of 0.01 and 8 df, hence, using a calculator, the critical value is of 20.09, hence option A is correct.

More can be learned about the chi-square distribution at https://brainly.com/question/17001009

#SPJ1

Answer:

D

Step-by-step explanation:

First let's list down the formulas we will be using.

Area of Quadrant = 1/4 x Area of Circle

= [tex]\frac{1}{4} \pi r^{2}[/tex]

Area of Part of a circle = (θ/360)[tex]\pi r^{2}[/tex]

First, we will find Angle QOT.

Angle QOT = 360 - 231 = 129

Area of ORST = [tex]\frac{129}{360} \pi (21)^{2} \\=\frac{6321}{40} \pi cm^{2}[/tex]

Next we know that, Q is midpoint of OR, therefore OQ = QR

and OQ = 0.5 * OR

OQ = 0.5 * 21 = 10.5cm = radius of Quadrant QOP

Area of Quadrant QOP = [tex]\frac{1}{4} \pi (10.5)^{2} \\=\frac{441}{16} \pi cm^{2}[/tex]

Lastly,

Area of Shaded Region = Area of ORST - Area of Quadrant QOP

= [tex]\frac{6321}{40} \pi -\frac{441}{16} \pi \\= 409.86cm^{2}[/tex]

Similar to the other question you asked, choose the closes answer as there might be some rounding differences. I kept it in fractions as it will ensure maximum precision.

Answer:

13/8

Step-by-step explanation:

let the number be x

5/8 - x = -1

-x = -1 - 5/8

-x = - 13/8

x = 13/8

5/8- 13/8 = -1

Answer:

13/8

Step-by-step explanation:

5/8 - x = -1   where x is the number to be found.

- x = -1 - 5/8

x = 5/8 + 1

   = 13/8.

So, 40 Customers are waiting at 10 A.M.

According to statement

Number of customers arrives at coffee shop per hour = 100

Capacity of shop for per minute per customer = 0.8 minute

Capacity of shop for customers per hour = 80

Find number of customers are by

Queue growth rate = Demand - Capacity

Put the values in the formula and find the growth rate

So,

Queue growth rate= 100 - 80 = 20.

Length of queue at 10 a.m. = 2 × 20 = 40.

So, 40 Customers are waiting at 10 A.M.

Learn more about GROWTH RATE here https://brainly.com/question/1437549

#SPJ4

Answer:

4:3

Step-by-step explanation:

If you divide both 12 and 9 by 3 (the smallest number they can both be divided by), you get 4 and 3. the ratio is for every 4 apples, 3 would be green. So 4:3

The linear function h(x) = 2x + 3, with the domain {-2, -1, 0, 1, 2}, has the range {-1, 1, 3, 5, 7}.

To find the range, we substitute each value of the domain for x, in the linear function h(x) = 2x + 3, as follows:

For the domain value, x = -2:

h(-2) = 2(-2) + 3,

or, h(-2) = -4 + 3,

or, h(-2) = -1.

Therefore, for the domain value, x = -2, the range value h(-2) is -1.

For the domain value, x = -1:

h(-1) = 2(-1) + 3,

or, h(-1) = -2 + 3,

or, h(-1) = 1.

Therefore, for the domain value, x = -1, the range value h(-1) is 1.

For the domain value, x = 0:

h(0) = 2(0) + 3,

or, h(0) = 0 + 3,

or, h(0) = 3.

Therefore, for the domain value, x = 0, the range value h(0) is 3.

For the domain value, x = 1:

h(1) = 2(1) + 3,

or, h(1) = 2 + 3,

or, h(1) = 5.

Therefore, for the domain value, x = 1, the range value h(1) is 5.

For the domain value, x = 2:

h(2) = 2(2) + 3,

or, h(2) = 4 + 3,

or, h(2) = 7.

Therefore, for the domain value, x = 2, the range value h(2) is 7.

Therefore, the linear function h(x) = 2x + 3, with the domain {-2, -1, 0, 1, 2}, has the range {-1, 1, 3, 5, 7}.

Learn more about domain and range at

https://brainly.com/question/2264373

#SPJ4

Answer:

B. 8

Step-by-step explanation:

Triangle's weight is equal to the sphere's weight.

Total of 16 blocks. Since the triangle's weight is equal to the sphere's, the weight will be half of the blocks.

Divide 2 from 16.

16/2=8

The triangle's weight is equal to 8 blocks.

Hope this helps!

If not, I am sorry.

Answer:

90 degree and the angle sides

The 2 different angles you can name are <UVT and <VST. Hope this helps and please mark brainlist

The statements that are true are AD = BD  , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D

A triangle is a polygon with three sides , angles and vertices.

It is given a Δ ACB

CD is the angle bisector of ∠ACB

AC ≅ CB

To determine which statement are true

First it has to be proved that Δ DCB is congruent to Δ ACD

In the triangles

AC = CB (Given )

∠ACD =  ∠DCB (CD is the angle bisector of ∠ACB)

DC = DC ( Common side )

thus Δ DCB is congruent to Δ ACD

Therefore the following statements are true

AD = BD (CPCTC)

m∠ACD = m∠BCD (CPCTC)

m∠CDA = m∠CDB (CPCTC)

Therefore Option A , C and D are the statements that are true .

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

Answer:

Step-by-step explanation:

a,c,d

Answer:

at 5 mins Holly traveled 2 miles. At 10 mins Holly traveled 4 miles. from there on she stayed there for 10 mins then went on her way. At 30 mins she traveled 5 1/2 miles. when she hit 35 mins she hit her destination then went back home.

Step-by-step explanation:

pretty simple

Answer:

6.708 miles

Step-by-step explanation:

She walked 3 miles to the right, and 6 miles up. The shortest route she could take back to her starting point is a diagonal, which we can solve for using the Pythagorean theorem, a^2 + b^2 = c^2. We're solving for c.

9 + 36 = c^2

c^2 = 45

c = 6.708

Brainliest, please :)