If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest side of the triangle is _____.

Answer:

[tex]\frac{-2x+11}{(x-4)(x+1)}[/tex]

Step-by-step explanation:

I don't think we can factor this so we'll have to multiply to make the denominators the same

[tex]\frac{3(x+1)}{(x^2-3x-4)(x+1)}-\frac{2(x^2-3x-4)}{(x+1)(x^2-3x-4)}\\\\\frac{3x+3-(2x^2-6x-8)}{(x^2-3x-4)(x+1)}=\frac{-2x^2+9x+11}{(x^2-3x-4)(x+1)}\\-2x^2+9x+11=(x+1)(-2x+11)\\\\x^2-3x-4=(x+1)(x-4)\\\frac{(x+1)(-2x+11)}{(x+1)(x-4)(x+1)}=\frac{-2x+11}{(x-4)(x+1)}[/tex]

Answer:

5 yd

Step-by-step explanation:

Formula to find area of a square is a² where each side is a,

So, a²=25

or, a=√25

or, a=±5

since a side can't be negative, so a = 5 yd

Answered by GAUTHMATH

Answer:

0.015 = 1.5% probability that the mean monitor life would be greater than 83.8 months in a sample of 71 monitors

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 establishes 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.

Mean life of 82 months with a standard deviation of 7 months.

This means that [tex]\mu = 82, \sigma = 7[/tex]

Sample of 71

This means that [tex]n = 71, s = \frac{7}{\sqrt{71}}[/tex]

What is the probability that the mean monitor life would be greater than 83.8 months?

1 subtracted by the p-value of Z when X = 83.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{83.8 - 82}{\frac{7}{\sqrt{71}}}[/tex]

[tex]Z = 2.17[/tex]

[tex]Z = 2.17[/tex] has a p-value of 0.985.

1 - 0.985 = 0.015

0.015 = 1.5% probability that the mean monitor life would be greater than 83.8 months in a sample of 71 monitors

Answer:

This question seems incorrect.

Kindly take a look again and re-state it properly to enable me give the most accurate answer.

Thank you

Answer:

4 over 3

because is in side the bracket is part of inequalities

Answer:

[tex]ac - bd[/tex]

Step-by-step explanation:

[tex]ac - bd [/tex]

Answer:

4yz^2

Step-by-step Explanation:

Step-by-step explanation:

Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.

[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°

[tex]\longrightarrow[/tex] x + 13 + 4x + 2 = 180°

[tex]\longrightarrow[/tex] 5x + 15 = 180°

[tex]\longrightarrow[/tex] 5x = 180° ― 15

[tex]\longrightarrow[/tex] 5x = 165°

[tex]\longrightarrow[/tex] x = 165° ÷ 5

[tex]\longrightarrow[/tex] x = 33°

Therefore, the value of x is 33°.

Quick Check!

[tex]\longrightarrow[/tex] x + 13

[tex]\longrightarrow[/tex] (33 + 13)°

[tex]\longrightarrow[/tex] 46°

And, another angle :

[tex]\longrightarrow[/tex] (4x + 2)°

[tex]\longrightarrow[/tex] {4(33) + 2}°

[tex]\longrightarrow[/tex] (132 + 2)°

[tex]\longrightarrow[/tex] 134°

★ Sum of the angles should be 180° :

[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°

[tex]\longrightarrow[/tex] 46° + 134° = 180°

[tex]\longrightarrow[/tex] 180° = 180°

L.H.S = R.H.S, hence verified!

The value of x is 33

"It is  a mathematical statement which consists of equal symbol between two algebraic expressions."

"Two angles are supplementary angles if the sum of the angles is 180° "

For given question,

angle (x + 13) and angle (4x + 2) form linear pair of angles.

So, these angles are supplementary angles.

⇒ (x + 13)° + (4x + 2)° = 180°

We solve above equation to find the value of x

⇒ x + 4x + 13 + 2 = 180

⇒ 5x + 15 = 180

⇒ 5x = 165

⇒ x = 33

Therefore, the value of x is 33

Learn more about the supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

Answer: The answer is 295,222.

Step-by-step explanation: The area of a rectangle is base times height, which is 914 x 323. If you do the math correctly, you will get 295,222.

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

Length (l) = 914 units

Breadth (b) = 323 units

Area = ?

Area of a rectangle (a) = l × b ----> use this formula

[tex]a = l \times b \\ a = 914 \times 323 \\ a = 295222 \: \: sq.units[/tex]

=> The area of the rectangle is 295222 sq.units.

Answer:

C

Step-by-step explanation:

Since all the graphs have the same line, you’re just looking for the correct shaded region. Since for both equations you want the shaded region to be less than the line, answer c solves the inequality.

Answer:

(1/8x)-(5/6)

Step-by-step explanation:

-3/4x-1/3+7/8x-1/2

-6/8x-2/6+7/8x-3/6

-6/8x+7/8x-2/6-3/6

1/8x-5/6

Answer:

1 There is no number that make it divisible by 6 with no decimals

2 1,4,7

Step-by-step explanation:

2 23718/6= 3953

 23748/6= 3958

 23778/6= 3963

Answer:

6.

Step-by-step explanation:

.

Answer:

[tex]C)\:8[/tex]

8 units tiles must be added

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~HOPE IT HELPS~

~HAVE A GREAT DAY!!~

Answer:

y = 6x + 6

Step-by-step explanation:

so; the y as seen will be constant as well as the x

With change of subject the 5 will be moved to the other side having y= 6x +1 + 5 .Given us y = 6x + 6.

Answer:

its a

Step-by-step explanation:

trust did test

Answer:

He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received

Answer:

Invalid

Step-by-step explanation:

Xavier did not control variables or the impacts of the results. Confounding variable being sunlight and water received are two outside variables that can impact growth influence results. Within a different planting soil, Xavier will apply the same amount of sunlight & water to each plant to rule out the influence of those two variables. The test for sole effect on the plant with growth otherwise be determine. Is the plant growth because of the soil brand or the different amounts of sunlight and water received? This could and will impaired the results of this experiment, therefore, making it invalid.

Answer:

3:2, 6;4 hope this helps

Answer:

C, D

Step-by-step explanation:

If you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

A.  Divide both numbers by 10

40:30 = 4:3 No

B. 10:0 No

C. Multiply both numbers by 10

3:2 = 30:20 Yes

D. Multiply both numbers by 5

6:4 = 30:20 Yes

Answer:

a.) m⁴n²

Step-by-step explanation:

( -m)⁴ × n ²

A negative base raised to an even powers equals a positive.

m ⁴ × n²

multiply the terms

m⁴n²

Answer:

a.) m⁴n²

Step-by-step explanation:

yea

Answer:

1. number line or 3

2. D

3. E and K

4. B

5. A

Brainliest please~

Answer:

x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation:

Given :

Total Amount to spend ≤ $20

Let:

Amount of flour purchased = x

Amount of sugar purchased = y

Cost :

Flour = $2 per pound

Sugar = $1.5 per pound

Pounds of :

flour to be purchased ≥ 3.5

Sugar to be purchased ≥ 2

Hence, the system of inequalities :

x ≥ 3.5

y ≥ 2

Total Cost of x + total cost of y must be less than or equal to total amount

2x + 1.5y ≤ 20

Answer: x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.

Answer:

[tex]791.7\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]A_{cyl}=r^2h\pi[/tex].

By definition, all radii of a circle are exactly half of all diameters of the circle. Therefore, if the diameter of the circular base of the cylinder is 6 feet, the radius of it must be [tex]6\div 2=3\text{ feet}[/tex].

Now we can substitute [tex]r=3[/tex] and [tex]h=28[/tex] into our formula [tex]A_{cyl}=r^2h\pi[/tex]:

[tex]A=3^2\cdot 28\cdot \pi,\\A=9\cdot28\cdot \pi,\\A=791.681348705\approx \boxed{791.7\:\mathrm{ft^3}}[/tex]

Answer:

The answer is A

Step-by-step explanation:

Hope this helps

Answer:

"A"

Step-by-step explanation:

Answer:

b = 50°

c = 130°

Step-by-step explanation:

Two angles A and B are complementary if:

A + B = 90°

And two angles are supplementary if:

A + B = 180°

Then, we know that:

a = 40°

b is a complement of a (this means that a and b are complementary angles)

c is a supplement of b (this means that b and c are supplementary angles).

From the first statement, we have that:

b + a = 90°

Replacing the value of a we get

b + 40° = 90°

b = 90° - 40° = 50°

b = 50°

And now we can use that b and c are supplementary, then:

b + c = 180°

replacing the value of b we get:

50° + c  = 180°

c = 180° - 50° = 130°

c = 130°

Then the values we wanted are:

b = 50°

c = 130°

Answer: [tex]y=7\dfrac{1}{3}[/tex].

Step-by-step explanation:

[tex]\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y \div 54=396 \div 54\\\\y=7\dfrac{1}{3}[/tex]

Answer:

There exists a relationship between interpersonal violence and health.

Step-by-step explanation:

The relationship between interpersonal violence and health :

The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;

If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0

H0 : ρ = 0

H1 : ρ ≠ 0

α = 0.05

Reported Pvalue = 0.016

Decison region :

Reject H0 ; If Pvalue < α

Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.

Answer:

4.076

Step-by-step explanation:

tan27°= |AC|/8

8*tan27°= 4.076

Use the tangent to find the unknown side lengths.

This is the answer

Ac= 4.07

Ab=8.97

Answer:

to find the missing number is all u have to do is understand the problem and silve the problem!

Step-by-step explanation:

paki brainly po