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3 years ago

What is the value of x drawing not to scale

Mathematics

2 answers:

AVprozaik [17]3 years ago

8 0

angle x would end up being equal to 71 degrees.

Margaret [11]3 years ago

3 0

Answer:

<h2>The value of <em>x </em>is 71°.</h2>

Step-by-step explanation:

The given triangle has to equal sides, this means that the triangle isosceles, from which we can deduct from the theorem of isosceles triangles that<em> the angles formed by these two equal sides are congruent.</em>

Also, we know that the sum of all internal angles of a triangle must be 180°. So

$x\° + x\° + 38\° =180\°\\2x\°=180\°-38\°\\x\°=\frac{142\°}{2}\\x\°=71\°$

Therefore, the value of <em>x </em>is 71°.

<h2 />

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Suppose you have a bag that contains 2 black and 8 striped marbles. You select one marble, replace it, and then select another.

aleksandrvk [35]

Answer:

2/10 (1/5)

Step-by-step explanation:

to do this, you know that the marble is put back, so you have an equal chance each time. then, find how many black marbles there are, and go from there.

5 0

3 years ago

One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customer

iren [92.7K]

Answer:

269

Step-by-step explanation:

The margin of Error is E = 0.05

The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1

Assume that the proportion is, p =0.5

From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64

The calculation of sample size is as follows: n = (Z/E)²p(1-p)

n = (1.64/0.05)²0.5 (1 - 0.5)

n = (1.64/0.05)² 0.25

n = 1075.84 × 0.25

n = 268.96 ≈ 269

The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.

6 0

3 years ago

A thermal insulated sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

hjlf

Answer:

$V=18,369\ in^3$

Step-by-step explanation:

step 1

Find the lateral surface of the cylinder (hot water tank)

The lateral area is given by the formula

$LA=2\pi r h$

we have

$r=13\ in\\h=75\ in$

substitute

$LA=2\pi (13)(75)$

$LA=1,950 \pi\ in^2$

step 2

Find the volume of fiberglass composite needed

Multiply the lateral area by the thick

$V=1,950 \pi (3)$

$V=5,850 \pi\ in^3$ -----> exact value

assume

$\pi=3.14$

$V=5,850(3.14)=18,369\ in^3$

3 0

4 years ago

Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial

maksim [4K]

<h2>Hello!</h2>

The answers are:

a) $\frac{49}{4}$

b) $(x+\frac{7}{2})^{2}$

First, we need to know that for this case:

$a=1\\2ab=7$

So,

$b=\frac{7}{2}$

$b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}$

We must add $\frac{49}{4}$ to the expression in order to form a perfect square trinomial,

$x^{2} +7x+\frac{49}{4}$

Writing the trinomial as a binomial square:

$(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}$

Have a nice day!

8 0

3 years ago

Read 2 more answers

FIND g rounded to the nearest degree ??

Harrizon [31]

In this situation I would use cosine to find m∠G.

Cosine = Adjacent side ÷ Hypotenuse

RG being the adjacent side and TG being the hypotenuse, you would set up the equation like this

cos(g) = 8/17

then solve

cos(g) = 0.47058

simplify

g = cos^-1(0.47058)

and you get

m∠G = 61.9°

So your answer would be 62°

4 0

4 years ago

Read 2 more answers