Which type of triangle is formed given the following angle measurements?
Angle 1: 30°
Angle 2: 30°
Angle 3: 120°

Answer:

10

Step-by-step explanation:

he question lacks appropriate diagram. Find the diagram attached below.

From the isosceles triangle shown, we can see that it is made up of two right angled triangle.

Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;

From the formula:

Hyp² = Opp²+Adj²

Adj² = Hyp² - Opp²

The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.

Given Hypotenuse = √74

Opposite = 7

Adj² = Hyp²-Opp²

Adj² = (√74)² - 7²

Adj² = 74-49

Adj² = 25

Adj = √25

Adj = 5

The adjacent of both sides are equal

x = 2 × Adjacent side

x = 2(5)

x = 10

Step-by-step explanation:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

given r = 10 in

h = 30 in

Volume of Cylinder =

[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]

Please take note in this case choose the answer closest to the answer calculated.

Answer:

9,420 in^3

Step-by-step explanation:

V = π r^2 h

V = 3.14 · 10^2 · 30

V = 3.14 · 100 · 30

V = 3.14 · 3,000

V ≈ 9,420

Answer:

Transitive property

Step-by-step explanation:

Given

[tex]XU = UV[/tex]

[tex]UV = PQ[/tex]

Then:

[tex]XU = PQ[/tex]

Required

Determine the property

The property is transitive.

It states that:

Given that:

[tex]a= b[/tex] and [tex]b = c[/tex]

Then:

[tex]a = c[/tex]

When this is applied here, we have:

Given that:

[tex]XU = UV[/tex] and [tex]UV = PQ[/tex]

Then:

[tex]XU = PQ[/tex]

Answer:

It should be B

Step-by-step explanation:

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Answer:

35

Step-by-step explanation:

Substitute x in the equation for 10

x/2 = 10/2

+ 3x = + 3(10)

10/2 = 5

+ 3(10) = + 30

5 + 30 = 35

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5 = 15/20 - 4/20 = 11/20

Answer:

[tex](2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)[/tex]

Answer:

30x+20

Step-by-step explanation:

(2*15x) is 30x

(2*10) is 20

30x+20 can't be further simplified

Answer:

C

Step-by-step explanation:

Solve for each choice until you get the answer 1/5.

A.

2 - 4/5

10/5 - 4/5 = 6/5; this is not 1/5

B

8 - 8/5

40/5 - 8/5 = 32/5; this is not 1/5

C

3 - 16/5

15/5 - 16/5 = -1/5

5 - 26/5

25/5 - 26/5 = -1/5

7 - 36/5

35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5

Answer:

± sqrt(z+y)

Step-by-step explanation:

x^2-y=z

for x

x^2=z+y

taking sqrt on both sides

x= ± sqrt(z+y)

Answer:

it's 22 I hope you got it right if not then i'm sorry

Answer:

62

Step-by-step explanation:

Answer:

4/6 or 2/3. Depends if your teacher wants it reduced.

Step-by-step explanation:

Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

[tex]C(x)=x^2-15x+34[/tex]

We want to find the number of units manufactured at a cost of $8350. Therefore:

[tex]8350=x^2-15x+34[/tex]

Subtract 8350 from both sides:

[tex]x^2-15x-8316=0[/tex]

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -15, and c = -8316. Thus:

[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]

Therefore, our solutions are:

[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

Answer:

The answer is 3) and 4)

Step-by-step explanation:

They both have 40 units and a side that measures 5 units

Answer:

2464

Step-by-step explanation:

I added it up :)

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

Answer:

12 dollars

Step-by-step explanation:

This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.

Answer:

$4.50

Step-by-step explanation:

We know that there are sunglasses has a price of fifteen dollars.

We also know that said glasses are on sale for 30% off.

We need to find the sale price of these sunglasses.

When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.

[tex]OGprice * percent -off[/tex]

[tex]15*30[/tex]%

[tex]4.5[/tex]

Therefore, the sale price is 4 dollars and 50 cents.

Answer: 5.8%

Step-by-step explanation: got it right lol

Answer:

Step-by-step explanation:y<30 and x<15

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

Answer:

yeah same it really could be

Answer:

8/38

Step-by-step explanation:

You got it right, trust yourself

Answer:

99 kilograms

Step-by-step explanation:

if 1 tire is 11 kg then 9 tires is 99

1 tire = 11

9 tires= 11 * 9

=99 kg

Answer:

diameter it goes throught the circle and as end points across

Answer:

a) the proportion of​ 95% confidence intervals that include the population proportion approaches 0.95

b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Step-by-step explanation:

a)

Given the the data in the question, confidence level is 95%.

In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.

b)

Given the the data in the question, confidence level is 95% and sample proportion

we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.

The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.

hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion

hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Using confidence interval concepts, it is found that:

a) As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

b) If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

Item a:

For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:

As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

Item b:

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:

If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

A similar problem is given at https://brainly.com/question/23536238

Hi ^^

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Solution:

Step one- Set up a ratio:

· Originally the ratio was: 110:143, make that equivalent to x:117

-->  110/143 = x/117 <-- notice this is A/B = A/B

--> to solve for x, just multiply by 117

x = 110 * 117 / 143 = 90 mg

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·You should use 90 mg of medication A

oki baiiii ^^