Find three consecutive multiples of four such that three times the first one plus four times

HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!

tiny-mole [99]

Answer:

$x=32$ °

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

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

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

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

$\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}$

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

Now take the cross product in this equation to simplify it further,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

$17(sin(x))=10(sin(116))$

Inverse operations, solve this equation for (x),

$17(sin(x))=10(sin(116))$

$sin(x)=\frac{10(sin(116))}{17}$

$x=sin^-^1(\frac{10(sin(116))}{17})$

$x=31.91782...$

$x\approx32$

4 0

2 years ago

Read 2 more answers

Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample

hichkok12 [17]

Answer:

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is given by

$MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } )$

Where n is the sample size, s is the sample standard deviation and $z_{\alpha/2}$ is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Therefore, the margin of error is 0.776.

3 0

2 years ago

Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities

Juli2301 [7.4K]

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

4 0

2 years ago

(NOT A MULTIPLE CHOICE)

Vsevolod [243]

9514 1404 393

Answer:

a, b, c --- all not representative

Step-by-step explanation:

The question posed by the engineer is "are residents of the city in favor of ...".

The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c) own homes.

__

Additional comment

The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.

8 0

2 years ago

Esther is pregnant and preparing for the birth of her first baby. In college, she ran up a large credit card bill and is still t

Yuki888 [10]

Answer:use money she planned to spend on her medical bills to pay her credit card

5 0

3 years ago