The three angles of triangle are in
the ratio 2:3:5. Calculate the size of
the smallest angle.
A. 90°
B.549
C.36
D. 30°
E. 20°
AN
D
♡​

Answer:

HOLD ON ILL BE RIGHT BACK

Step-by-step explanation:

[tex]a = 36[/tex] ✔

Step-by-step explanation:

[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

1st find the area of bigger rectangle ie l×b

again find area of small rectangle ie l×b

now subtract area of small rectangle by bigger one you get the area of shaded part

Answer:

increasing sequence of +7

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

9514 1404 393

Answer:

  x = 70

Step-by-step explanation:

The measure of the angle x° is half the sum of the intercepted arcs.

  x° = (112° +28°)/2 = 140°/2

  x° = 70°

Answer:

46 long and i hope its right

Answer:

4

Step-by-step explanation:

so when it says f(x)=-x+1

the x values are constant so what value is in f(x) the value of x goes right into -x+1

f(-3)=-x+1

f(-3)=-(-3)+1

f(-3)=4

Answer:

yea the anwser is 4

（>﹏<）

five-digitsinceStep-by-step explanation:

Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.

so lcm(16,56)=112

lcm(56,120)=840

lcm(16,120)=240

Now take any number from this and take the lcm of that

lcm(112,840)=1680

that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a  number. so  16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760

Hope that helps :)

9514 1404 393

Answer:

  99120

Step-by-step explanation:

The LCM of 16, 56, 120 can be found from their factors:

  16 = 2^4

  56 = 2^3 · 7

  120 = 2^3 · 3 · 5

So, the least common multiple is 2^4×3×5×7 = 1680.

10^5/1680 = 59 r 880

The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.

Answer:

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

14 x 5=70

22 x 4 = 88

14 x 6 =84

84/2= 42

70 + 88 + 42 = 200

Answer: 7/12

Step-by-step explanation:

1- 1/6 - 1/4

5/6 - 1/4

10/12 - 3/12

7/12 left

Answer:

48 cans must be sampled.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The machine is calibrated so that the population standard deviation is 0.04 ounces.

This means that [tex]\sigma = 0.04[/tex]

How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?

n cans must be sampled, and n is found when M = 0.015. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]

[tex]0.015\sqrt{n} = 2.575*0.04[/tex]

[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]

[tex]n = 47.2[/tex]

Rounding up, 48 cans must be sampled.

Answer:

no

Step-by-step explanation:

Hello There!

We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem

The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared

so if it is a right triangle then

[tex]74^2=71^+24^2[/tex]

[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]

5617 is not equal to 5476 therefore the given side lengths do not form a right triangle

~TheMathWIz

Answer:

16.6°

Step-by-step explanation:

area = ab sinθ    a and b: base and oblique side length    θ: angle between

26 = 9.3 x 9.8 sinθ

sinθ = 26 / (9.3 x 9.8) = 0.285276

θ = 16.6

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

Answer:

Step-by-step explanation:

Well you can't find the height of the cone using only the slant height because there simply isn't enough information

S = Slant Height

R = Radius

H = Height

However if you had the radius of the base of the cone, then you can use the Pytagorean theorem like so: H = square root(S^2 - R^2)

If you had the angle the slant made against the base, you could use:

H = S*sin(Angle)

Answer:

0.37

Step-by-step explanation:

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675

Answer:

It increases it by 9.

Step-by-step explanation:

Given the following data;

Base = 4m

Height = 5m

Area of triangle = ½*base*height

Area of triangle = ½*4*5

Area of triangle = 2 * 5

Area of triangle = 10 m²

Multiplying the parameters by 3, we have;

Base = 4 * 3 = 12m

Height = 5 * 3 = 15m

To find the area of triangle;

Area of triangle = ½*base*height

Area of triangle = ½*12*15

Area of triangle = 6 * 15

Area of triangle = 90 m²

Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.

Answer:

1 1/3

Step-by-step explanation:

(x+12)/2 = 4-x

Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x

Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8

Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4

Step 4, divide by 3. x = 1 1/3

Answer:

the number is 20

Step-by-step explanation:

Equation: let x be the missing number

x + 12 ÷ 2 = x - 4

first step: multiply 2 on both sides to get rid of the division

x + 12 ÷ 2 ×  2 = x - 4 × 2

x + 12 = 2x - 8  

second step: add 8 on both sides:

x + 12 + 8 = 2x - 8 + 8

x + 20 = 2x

third step: subtract x on both sides:

x - x + 20 = 2x - x

20 = x

to check: substitute 20 for x

x + 12 ÷ 2 = x - 4

20 + 12 ÷ 2 = 20 - 4

32 ÷ 2 = 16

16 = 16

Answer:

simplified value of the exponential expression 27 Superscript one-third

27= 3×3×3

    =[tex]3^{3}[/tex]

answer is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The answer above is correct.

Answer:

$8789

Step-by-step explanation:

you suptract 9,400. and 6.5%

Answer:

answer is $8789

Step-by-step explanation:

she is correct

Answer:

c 64 is your answer im pretty sure

Answer:

only 3

Step-by-step explanation:

Step-by-step explanation:

Given interval

0º < x < 360°

tan X = - 0.6745

tan X = tan 146 ° , tan 326

Either

tan X = tan 146

x = 146°

Or

tan X = tan 326°

x = 326°

Therefore the answers are

x = 146° and 326°

Hope it will help :)❤

Answer:

d

Step-by-step explanation:

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9514 1404 393

Answer:

  2)  (b) -7

  3)  (b) 14

Step-by-step explanation:

2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.

  18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7

__

3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...

  (number missed)/(number thrown) = 35%

  missed = (thrown)×0.35 = 40×0.35 = 14

George is expected to miss 14 of the 40 pitches.

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that [tex]n = 50[/tex]

Mean age and standard deviation are 75 and 6 years

This means that [tex]\mu = 75, \sigma = 6[/tex]

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{73 - 75}{0.8485}[/tex]

[tex]Z = -2.36[/tex]

[tex]Z = -2.36[/tex] has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

Answer:

C.

Step-by-step explanation:

C. is the only answer option with the correct perimeter of 18u

area is correct too

Answer:C

Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.