A right triangle is shown. The height and length of the hypotenuse are unknown and the length other side is 5 feet. The other angles measure 60 and 30 degrees.

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
Five-halves ft
StartFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft
5 StartRoot 3 EndRoot
10

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

540 students gained admission

The given parameters are:

Students = 1200

Proportion that gain admission. p = 9/20

The number of student that gain admission is calculated as:

Admission = p * Students

So, we have:

Admission= 9/20 * 1200

Evaluate

Admission= 540

Hence, 540 students gained admission

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Answer:

y is x

Step-by-step explanation:

l don't know step by step explanation

Answer:

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

Answer:

8 cars :)

Step-by-step explanation:

1 car: 1 driver + 4 students = 5 people total

We must divide to solve :)

38/5 = 7 cars with 3 without a car.

Sine there is a remainder we will need 1 ore car so 8 cars altogether :)

Have an amazing day!!

Please rate and mark brainliest!!

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

Answer:

D

Step-by-step explanation:

you can use the slope intercept form: y = mx + b.

y = y cooordinate

m = slope

x = x coordinate

b = y intercept

the y intercept is 4.

the point (1, 7) is what we're going to use.

so the new equation is

7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)

subtract 4 from both sides, you should have 3 = m.

the slope is 3

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

[tex]A = \frac{\theta}{360^\circ}\times \pi r^{2}[/tex]

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]

[tex]A = \frac{1}{4}\times \pi \times4[/tex]

[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

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Answer:

Step-by-step explanation:

The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

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The geometric terms which best describe each part of this tennis court are:

In Geometry, there are various geometric terms and these include the following:

In this context, we can logically deduce that the geometric terms which best describe each part of this tennis court are:

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Answer:

a. plane

b. angle

c. line segment

d. plane

e. vertex or angle

Step-by-step explanation:

This is the CORRECT answer

Answer:

-11x^8 + 3

Step-by-step explanation:

-8x^8 + (-3x^8 + 3)

-8x^8 - 3x^8 + 3

-11x^8 + 3

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]

We summarize (1) and (3):

[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]

Substitute b=-1 into (2):

[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]

From (5) subtract (4):

[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]

Substitute a=0,5 into (4):

[tex]0,5+c=-1\\c=-1,5.[/tex]

Hense:

y=0,5x²-x-1,5.

To solve this proportion:

[tex]\frac{3}{6} =\frac{7}{d}[/tex]

Simplify 3/6, it reduces to 1/2

[tex]\frac{1}{2} =\frac{7}{d}[/tex]

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

Answer:

d = 14

Step-by-step explanation:

We can use cross products to solve the proportion

3/6 = 7/d

3*d = 7*6

3d = 42

Divide each side by 3

3d/3 = 42/3

d = 14

Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively.  This time is known as their speed.

The resulting figures are summed to get the total time.

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

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Answer:

Hence we prefer the distributive method when multiplying trinomial by a binomial.

Step-by-step explanation:

Explanation

The coordinates of the vertices of the translated triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).

Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of rigid transformation known as translation, whose formula is:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

If we know that A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2) and T(x, y) = (-2, 4), then the new coordinates are:

A'(x, y) = (3, 4) + (- 2, 4)

A'(x, y) = (1, 8)

B'(x, y) = (4, 2) + (- 2, 4)

B'(x, y) = (2, 6)

C'(x, y) = (1, 2) + (- 2, 4)

C'(x, y) = (- 1, 6)

The statement presents typing mistakes, correct form is:

Translate the triangle with the vector <- 2, 4>, then enter the new coordinates:

Original coordinates - A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2).

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If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

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

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

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The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2)     (1)

Where:

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

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Answer:

c

Step-by-step explanation:

The slope of the line is 1

to find the slope its rise (y value)/run (x value); the equation is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plugging the values from the graph into the equation:

[tex] \frac{4 - 2}{4 - 2} [/tex]

which simplifies to simply 1

The square feet of land that 346 workers can plant each minute is 2076 ft.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Square feet that can be planted each minute :

number of workers x feet of each seeding x ( one minute / time required to plant one seeding)

346 X 1.5 X (60 / 20) = 2076 ft

Here is the complete question:

Joey bought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant seedlings. It takes about 20 seconds to plant a seedling.  each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?

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The graph shows the solution to inequality is; y > ¹/₃x - 2

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

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Answer:

Step-by-step explanation:

Comment

Start with the algebraic expression. Always do that x cubed means x^3 power or x * x * x.

Answer x^3 + 6

The greatest number of different cards based on the permutations is 144.

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

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