Which expression is the factorization of x2+10+21?

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

The perimeter of triangle △ABC is found by summing all sides of the triangle, resulting in 51.

In this question, we are dealing with the triangle △ABC. We know that AB = 15, BD = 9, AD is perpendicular to BC, and m∠C = 30°. Remember, the sum of all sides in a triangle constitutes the perimeter.

Given that AB=15 and BD=9, and as BD is the opposite side of m∠C = 30°, we know that the hypotenuse is twice the length of the opposite side in a 30-60-90 triangle. Thus, AD = 2BD = 18. Since AD is also perpendicular to BC, AD divides the triangle into two right triangles.

We know that the side adjacent to ∠C is half the length of the hypotenuse in a 30°-60°-90° triangle. Hence, CD = AD/2 = 18/2 = 9. Now, BC = BD + CD = 9 + 9 = 18. Summing up all sides of the triangle, the perimeter of △ABC = AB + BC + AC = 15 + 18 + 18 = 51.

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That's is correct answer

Answer:

the answer is c

Step-by-step explanation:

The median number of shoes for the girls is greater than the median number of shoes for the boys. To find the medians, order the data sets and find the middle value.

The statement which is true about Jeffery's survey of the 13 girls and 13 boys is;

Although, the mean and median are statistical measures of central tendency.

It follows from the data obtained from the survey that:

On this note, it follows from the Inferences above that, the statement which is true about the survey is; The value of Q1 for the girls is greater than the value of Q1 for the boys.

Remarks:

A)The value of Q1 for the girls is greater than the value of Q1 for the boys.

B) The value of Q3 for the boys is greater than the value of Q3 for the girls.

C)The mean number of shoes for the boys is greater than the mean number of shoes for the girls.

D)The median number of shoes for the boys is greater than the median number of shoes for the girls.

Read more on statistical measures;

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Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

Answer:

The third and last one.

Step-by-step explanation:

First, by looking at the graph you can tell that the parabola peaks where x = 0.5, not 4.5, so this one is incorrect.

The second one is incorrect, because the value of the g(x) at 0 is 9, but he function is less at other values such as when x is -3 and the g(x) is 0.

The maximum value of the g(x) is 9. We can tell this because points with an equal difference of x values away from x = 0 (where g(x) = 9), also have the same y values. Because 9 is twice of 4.5, and 4.5 is the maximum value of the f(x), the third one is correct.

Lastly, The last one is true, because quadratic functions only have a minimum or a maximum value and we already know that both of these functions have a maximum value.

Answer:

When a triangle has two congruent sides it is called an isosceles triangle

Step-by-step explanation:

Answer:

B. 2/5

Step-by-step explanation:

First we write down the numbers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.

Multiplies of three or five above are: 6,9,10,12,15,16,19,20   (there are 8)

So 8/20.

8/20 simplified is 2/5

So, it's B.

Answer:

C is the correct answer

Answer:

c = -5 and d = 1

Step-by-step explanation:

First, multiply out (cy^2)(4y^d).  We get:  4cy^(2+d).

We equate this result to the right side of the equation:  - 20y^3.

Then, equating the exponents and solving for d, we get:  2 + d = 3, or d = 1.

Equating the coefficients, we get 4c = -20, or c = -5.

Answer:

1.333 cups

Step-by-step explanation:

if you divide 6 by 4.5 you get 1.333

h=271.4/6π≈14.4 inches.

If the volume and the rafius of the cylinder is 271.4 cubic inches and 6 inches. Then the height of the cylinder will be 2.4 inches.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If the volume of the cylinder is 271.4 cubic inches and the radius of the cylinder is 6 inches.

Then the height of the cylindr will be

We know the volume of the cylinder is given as

V = πr²h

Then we have

271.4 = π x 6² x h

271.4 = 36π x h

271.4 = 113.1 x h

      h = 2.4

More about the cylinder link is given below.

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So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

The area of the rectangle represented by the expression (2x+7)(4x+5) is calculated by distributing and combining like terms, yielding the answer 8x^2 + 38x + 35.

The expression (2x+7)(4x+5) represents the area of rectangle in Algebra. The area of a rectangle is calculated as length times width, and in this case, the length is 2x+7 and the width is 4x+5.

To calculate the area, we will need to multiply these two expressions, also known as using the distribution property of multiplication over addition.

Apply the distributive property:

Combine like terms:

So, the area of the rectangle is represented by the expression 8x^2 + 38x + 35.

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Answer:

y = 3x + 4

Step-by-step explanation:

3x would be the number of people that show up to the party times the number of pizza's needed plus the 4 she already ordered

Answer:

18

Step-by-step explanation:

There are 6 possible outcomes for the number and each one of those can land with all three different colors.

This means that the total amount of outcomes is 6*3 or 18.

Answer:

the answer is C.  20/27 cubic cm.

Step-by-step explanation:

V = LWH

length 5(1/3 cm)

width 2(1/3 cm)

height 2(1/3 cm)

V = (5/3 cm) (2/3 cm) (2/3 cm)

V = 20/27 cubic cm.

Answer:

c

Step-by-step explanation:

Answer: The answer would be C. Please give me a thanks :) bye!

Step-by-step explanation:

Answer:

dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up hypotheses as:

[tex]H-0: p=0.60\\H_a: p >0.60[/tex]

(Right tailed test)

Sample proportion p = favourable/total = [tex]\frac{640}{1000} =0.64[/tex]

p difference [tex]=0.64-0.60 =0.04[/tex]

Sample std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.64(0.36)}{1000} } \\=0.0152[/tex]

Critical value for95% = 1.96

Margin of error = [tex]1.96(0.0152)\\= 0.0298[/tex]

Confidence interval for proportions

=[tex](0.64-0.0298, 0.64+0.0298)\\=(0.6102,0.6698)[/tex]

Since confidence interval does not contain 0.60 we reject null hypothesis.

At 5% significance level we can accept thta proportion >0.60

Answer:

B

Step-by-step explanation:

In probability, "AND" means to multiply and "OR" means to add.

Here they want probability of steel penny ( P(s) ) "OR" probability of lincoln penny ( P(l) ).

Let's find the individual probabilities and "ADD" them.

P(s) = 5/50 (since there are 5 steel pennies and there are 50 coins in total)

P(l) = 5/50 (since there are 5 lincoln pennies and there are 50 coins in total)

So probability of 5 steel penny and 5 lincoln penny = 5/50 + 5/50 = 10/50 = 1/5

1/5 is equal to 20%, correct answer is B

The equation y = -(x-2)² represents a parabola opening downwards with a vertex at (2, 0). To find the matching graph, plot several points by calculating y for chosen x values and then connect the points to reveal the parabola's shape.

The student is asking for the graph that matches the equation y = -(x-2)². This equation represents a parabola that opens downwards due to the negative sign in front of the parenthesis. To plot this, we'll need to create a table of values by choosing different x values, inserting them into the equation, and calculating the corresponding y values. After plotting these points, we'll see the shape of the parabola. Its vertex, the highest point on the graph due to the downward opening, will be at (2, 0) since the equation is in the form y = -a(x - h)², where (h, k) is the vertex of the parabola.

Answer:

408

Step-by-step explanation:

because is you use long multiplication you will get 12*34=408.

Answer:

Cone

Step-by-step explanation:

the base is formed when the triangle is turned in a circle. the base is a triangle.

The answer is:

The percent increase from her first quiz score to her second quiz score is 10%.

To know what is the percent increase from her first quiz to her second quiz, first we need to calculate the increase points, then, represent it in porcentage value.

Then, calculating her increas in points, we have:

[tex]Increase=SecondQuizScore-FirstQuizScore\\Increase=77points-70points=7points\\Increas=7points[/tex]

Now, calculating the percent increase, we have:

[tex]Increase(Percentage)=\frac{Increase(points)}{FirstScore}*100\\\\Increase(Percentage)=\frac{7}{70}*100\\\\Increase(Percentage)=0.10*100=10[/tex]

Hence, the percent increase from her first quiz score to her second quiz score is 10%.

Have a nice day!

Answer:

10%

Step-by-step explanation:

increase percentage is = difference /initial value x 100

=77-70/70 x 100

=10

Answer:

The on  the bottom is right.

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Per a.p.e.x

The area of a triangle can be found using the formula: Area = (base × height) / 2.

The area of a triangle can be found using the formula: Area = (base × height) / 2. To find the area of the triangle shown below, you need to know the length of the base and the height. Once you have those values, you can plug them into the formula to calculate the area.

Answer:

¹¹⁹/₁₂₀ gallon

Step-by-step explanation:

1. Total amount of paint owned: 1 ¹/₅ + 1 ¹/₆ + ⁷/₈ =  ³⁸⁹/₁₂₀ gallons

2. Total amount of paint used: 3 * ³/₄ = ⁹/₄ gallons

3. Amount left: ³⁸⁹/₁₂₀ - ⁹/₄ = ¹¹⁹/₁₂₀ gallon

im pretty sure true because they do not intersect and are not parallel :)

Answer:

true

Step-by-step explanation:

Answer:

[tex]\large\boxed{\dfrac{x^2-x}{2x-2x^2}=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2-x}{2x-2x^2}=\dfrac{x^2-x}{-2(x^2-x)}\\\\\text{cancel}\ (x^2-x)\\\\=-\dfrac{1}{2}[/tex]

It is equal to 7.2

Hope this helps.

Answer:

7.2

Step-by-step explanation:

Imagine math 2021

(-3,4)

If its rectangular then parallel lines must be the same size , just draw it and it will make a lot of sense

Answer is (-3,4)

See photo

That is not true. 72-3=69

Answer:

B since 6 is a whole number for hours it would be 6 and 15 is 1/4 of 60 it would be 0.25 meaning, 6.25

Step-by-step explanation:

The time card will have 6.25 hours.

To convert units of measurement for time, here are the steps.

Step #1: Identify the units used.

Step #2: Determine the relationship between the units.

Step #3: Determine the conversion factor (in fraction form).

Step #4: Multiply the original measurement by the conversion factor.

Given:

6 hours and 15 minutes

= 6 + 15/60

=6 + 1/4

=6+0.25

=6.25 hours

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