Find the length of “b”, to the
nearest tenth, using the
Pythagorean Theorem.

Answer:

70

Step-by-step explanation:

too easy

Answer:

D.7

Step-by-step explanation:

30/5 =42/X

Criss cross and X=(42X5)/30=7

The value of x will be,

⇒ x = 7

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and DEF are similar.

Now, By definition of proportionality we get;

⇒ AB / BC = DE / EF

⇒ 30 / 42 = 5 / x

⇒ 30x = 5 × 42

⇒ 30x = 210

⇒ x = 210 / 30

⇒ x = 7

Thus, The value of x will be,

⇒ x = 7

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An average horse weighs 900-2,000 pounds, depending on size and breed. A lean, racing fit Thoroughbred, for example, has an average weight of 900-1,100 pounds, while the average Clydesdale (think Budweiser) weighs in at 1,800-2,000 pounds

Answer:

If one horse will weigh about 2000 pounds, or 1000kg, then four horses will weigh about 8000 pounds or 4000kg

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

Answer:

[tex]y = \frac{ - 13 - \sqrt{489} }{10} [/tex]

Answer:

Step-by-step explanation:

5y^2+15y-2y+4=20

5y^2-13y+4=20

5y^2-13y+4-20=0

5y^2-13y-16=0

This equation is in standard form: ax^2+bx+c=0. Substitute 5 for a, 13 for b, and −16 for c in the quadratic formula.

Answer:

The slope of this line is 3/4.

Step-by-step explanation:

Solving this equation 3x–4y–12=0 for y puts the equation into the form

                                            y = mx + b, where m is the slope of the line.

One way of solving for 4y here is to add 4y to both sides, obtaining:

                                           3x - 12 = 4y

Dividing all three terms by 4 yields

                                              y = (3/4)x - 3

The slope of this line is 3/4.

A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

The function rule that represents the best line of fit for the data in the plot is option C.

A) f(x)= x+8

Since the line has a positive slope this can not be the appropriate option.

B.) f(x) = -2x+14

Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.

D.) f(x) = 10

Since this is a straight horizontal line at y=1. This is not the appropriate option.

Hence, the correct option is C.

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Answer: 0.13 cents per minute.

Step-by-step explanation:

7.80 divided by 60(min per hour.)= .13 cents.

Answer:

hi the answer is the first option, value assigned by the incorporation documents

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Answer:

tan (angle T) = 5/2

angle T = arctan (5/2)

9514 1404 393

Answer:

  2 < x < 24.937

Step-by-step explanation:

Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.

That is ...

  0 < 2x-4 < 180 -86

  4 < 2x < 98

  2 < x < 49

__

However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.

The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:

  CB·sin(86°/2) = 14/2

Similarly, the bisector of angle ABC will meet the midpoint of AC:

  CB·sin((2x -4)°/2) = 8/2

Equating expressions for CB gives ...

  7/sin(43°) = 4/sin((x-2)°)

  (x -2)° = arcsin((4/7)sin(43°))

  x° = 2° +arcsin(4/7·sin(43°))

  x ≈ 24.937

So, a revised upper limit on x puts the range of possible values as ...

  2 < x < 24.937

Answer:

[tex]x=-7, \\x=7[/tex]

Step-by-step explanation:

Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].

Start by adding 7 to both sides:

[tex]3x^2=147[/tex]

Divide both sides by 3:

[tex]x^2=49[/tex]

Take the square root of both sides:

[tex]x=\pm \sqrt{49}=\pm 7[/tex]

Recall that [tex]7^2=(-7)^2=49[/tex].

Thus, we have:

[tex]x=-7, \\x=7[/tex]

Answer:

1/11

Step-by-step explanation

There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.

The last part of this case is happening as a chain. So we need to multiply our two answers.

=4/12*3/11

=1/3*3/11

=1/11

Answer:

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Answer:

We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:

Let’s multiply y = x-2 by 2

2y=2x-4

A system equivalent to this one is

y = -2x^2 (this remains the same)

2y= 2x-4

Answer:

it's second option

[tex]5 \times \frac{2}{5} [/tex]

Step-by-step explanation:

for this change them to points so it be easier to solve

[tex] \frac{2.25}{x} = \frac{1.5}{3.6} \\ \\ x = \frac{3.6 \times 2.25}{1.5} = 5.4[/tex]

and then 5.4 equals 5(2/5)

Answer:

? This isn't a problem

Step-by-step explanation:

Given:

Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].

To find:

The ratio of their areas.

Solution:

If two figures are similar then their areas are proportional to the squares of their corresponding sides.

[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]           ...(i)

Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.

It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].

Using (i), we get

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]

Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.

Answer:

50.24 sq cm

Step-by-step explanation:

radius is 4 (half of 8)

A=(3.14)4^2

A=50.24

Answer:

B) 50.24 sq.cm

Step-by-step explanation:

equation for area of circle is [tex]\pi r^{2}[/tex]

radius is half of diameter

radius = 4 cm

[tex]\pi (4)^2[/tex] = 50.24 sq.cm

Answer:

c = $30 + $0.75p

Step-by-step explanation:

total cost = total fixed cost + total variable cost

total fixed cost = $30

Fixed costs are costs that do not vary with output.

total variable cost = variable cost per unit x total unit

p x 0.75

Variable costs are costs that vary with production

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

Answer:

However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.

Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.

Step-by-step explanation:

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Answer:

4.) 7.03

5) 2.31

6.) five tenths

7) nine hundredths

8. 7

9.) three tenths

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]

Answer:

The answer is 1 * 3.

Step-by-step explanation:

To find the size of the resulting matrix, start by finding the dimensions of both matrices. For the dimensions of a matrix, it goes rows by columns. To find the dimensions of a matrix, count the number of rows, and then count the numbers of columns.

For the first matrix, the dimensions are 1 by 3. For the second matrix, the dimensions are 3 by 3.

An easy way to see if matrices that are being multiplied produce a real answer, find the dimensions of each matrix and see if the two inner numbers match.

For these matrices being multiplied, the dimensions are 1 by 3 and 3 by 3, and the two inner numbers are 3, which means they match.

Then, begin solving for the answer resulting from the matrices being multiplied. Start by multiplying each row in the first matrix by each column in the second matrix. Next, simplify each element of the matrix by multiplying out all the expressions. Finally, the matrix in the most simplified form is [tex]\left[\begin{array}{ccc}11&11&-2\\\end{array}\right][/tex]. Thus, resulting in a 1 * 3 matrix.

Answer:

-6

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis which in this case is -6

Hope this helps