Find x
a) 21 √2
b)7
c)21 √2/2
d)21 √3/2

Answer:

I think it's 1/2 because it might be right

Step-by-step explanation:

it's simple:

Answer:

The midpoint is (3,8)

Step-by-step explanation:

To find the x coordinate of the midpoint,  add the two coordinates together and divide by 2

( 4+2)/2 = 6/2 = 3

To find the y coordinate of the midpoint,  add the two coordinates together and divide by 2

( 7+9)/2 = 16/2 = 8

The midpoint is (3,8)

Answer:

36°

Step-by-step explanation:

Let m∠8 = x°

Therefore, m∠7 = 4x°

Since, ∠7 and ∠8 are linear angles.

Therefore,

m∠7 + m∠8= 180°

4x° + x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

x = 36

Hence,

m∠8 = 36°

Answer:

y = -2/3x + 1

Step-by-step explanation:

Step 1: Find slope

m = (-1 - 3)/(3 + 3)

m = -2/3

y = -2/3x + b

Step 2: Find b

-1 = -2/3(3) + b

-1 = -2 + b

b = 1

Step 3: Write equation

y = -2/3x + 1

Answer:

140 square units

Step-by-step explanation:

The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.

Answer:

x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

divisor is (x - 5) , thus evaluate at h = 5

5 | 1  8  - 25  - 193

        5     65   250

  -----------------------------

    1  13   50     57 ← remainder = 57

The coefficients of the quotient are 1, 13,  50 , that is

x² + 13x + 50

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

none of the above

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

Answer: angles EBA and HBI are congruent

Step-by-step explanation:

they are the congruent because they are verticle angles

Answer:  NO. He had an increase of 25%

Step-by-step explanation:

To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.

[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]

Convert the decimal into percentage by moving the decimal point two places to the right.  0.25 = 25%

Evan spent 25% more time this week than last week.

It can also be stated that this week Evan did 125% of homework compared to last week.

If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.

Answer: height = 1.16 ft

Step-by-step explanation:

14 inches = 1.17 feet

Height of the oven =

Height = volume / lw

H = 1.59 / 1.17*1.17

H = 1.16 feet

Answer:

a. 3.25 m

b.1.2 ft

Solution,

a. Let 'h' be the height of cylinder

Given,

Radius(r)=0.7 m

Volume(v)=5 m^3

Formula to find volume of cylinder

[tex]\pi {r}^{2} h[/tex]

where r= radius and h= height

so,

[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]

b.

[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]

hope this helps...

Good luck on your assignment...

Answer:

2600

Step-by-step explanation:

the number of female : 5000*48%= 2400 female

males =5000-2400=2600 0r 52%

Answer:

The correct answer is 260

Step-by-step explanation:

Also known as B

Answer:

260 so Answer B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

  PN² = 33² +60² = 4689

  PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

  NS² = PN² +PS² = 4689 +1600 = 6289

  NS = √6289

  NS ≈ 79.3 . . . meters

__

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

  tan(PNS) = NS/PN = 40/68.476

  ∠PNS = arctan(40/68.476)

  ∠PNS ≈ 30.3°

Answer:

B. 5

Step-by-step explanation:

[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]

Answer:

6 + 6y + 6 = 12 + 6

Step-by-step explanation:

2(3) + 6y = 12

Multiply 2(3).

6 + 6y = 12

Subtract 6 on both sides, so y variable is isolated.

6 + 6y - 6 = 12 - 6

6y = 6

Divide by 6 on both sides.

6y/6 = 6/6

y = 1

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

Answer:

The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions

Step-by-step explanation:

An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.

The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.

Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function  approaches infinity that is have a vertical asymptote.

However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is  [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;

b² - 4·a·c < 0 = -ve value hence;

√(-ve value) = Imaginary number

Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.

Hey there!

Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!

So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).

3.92÷2.8=1.4

So, the first package is 1.4 times heavier than the first one!

Have a wonderful day!

Answer:

About 157 meters

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:

[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]

Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!

Answer:

Solution,

1 round = circumference

[tex]2\pi \: r[/tex]

[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]

[tex] = \frac{44}{7} \times 12.5[/tex]

Required distance covered:

[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]

hope this helps..

Good luck on your assignment...

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Answer:

1) 2 (11) - 1/2

Step-by-step explanation:

Given the following:

A line “t” is parallel to 3y = 6x + 9

Equation of a line;

y = mx + c

Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.

From the equation;

3y = 6x + 9

Divide through by 3

y = 2x + 3

Comparing the line equation with the equation provided :

Coefficient of x = 2, therefore 2 = slope

Since line t is Parallel to y = 2x + 3

Then, slope of line 't' is the same as that of y:

Slope of line 't' = 2

(11) For perpendicular lines :

Slope of original line : 3y = 6x + 9

Divide through by 3

y = 2x + 3

Compare to line equation:

y = mx + c

m = gradient/ slope, c = intercept

Gradient of original line, m = 2

For a line 'r' perpendicular to y = 2x + 3

Gradient, m of line r equals to the negative reciprocal of the gradient of original line

Therefore, gradient of r equals :

-1/2

Answer:

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

Given:

Number of lawns mow = 9

Time taken = 14 hours

Find:

Number of lawns mow in 49 hours

Computation:

Time taken for 1 lawn = 14 / 9

Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn

Number of lawns mow in 49 hours = 49 / (14/9)

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where the slope m is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, -3) and (-6, -1).

Substitute:

[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex]         subtract 3 from both sides

[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]      multiply both sides by 4

[tex]4y+12=-(x-2)[/tex]

[tex]4y+12=-x+2[/tex]        subtract 12 from both sides

[tex]4y=-x-10[/tex]           add x to both sides

[tex]x+4y=-10\to\text{standard form}[/tex]

Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

Answer:

a.) 7/20

b.) 0.375

c.) 1/15

Step-by-step explanation:

a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.

Simplify that down by dividing both top-bottom by 5 and you get 7/20

b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.

c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m

Find the fraction: 4/60

Simplify by dividing top-bottom by 4 and you get 1/15

Answer:

195 students voted for the blue and silver color combination.

Step-by-step explanation:

First, you have to convert 65% to a decimal ( You should get 0.65 ).

Next, you multiply 300 by the decimal ( 0.65 )

You should get 195, so that's how many people voted for the blue and silver color combination.

Answer:

195

Step-by-step explanation:

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

Answer:

The answer is D.

Step-by-step explanation:

The lateral surface area of a 3-D figure is the area of each face that is NOT a base.