If EB = 5, find the value of CD.
3
CD = [?]
Enter

Answer:

c

Step-by-step explanation:

Answer:

Both a relation and a function

Step-by-step explanation:

Replicates itself every 14 minutes, which is exponential function

Answer:

All negative numbers

Step-by-step explanation:

They are not whole numbers

Answer:

0

Step-by-step explanation:

Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0

Answer:

$26.

Step-by-step explanation:

His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:

[tex]20+20(.3)=20(1.3)=26[/tex]

His new salary is $26.

Note: For the second step, I used the distributive property.

[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4

Answer: x = 41°

Step-by-step explanation:

The sum of the angles in a triangle equals 180°.

To find the missing angle, subtract the sum of the two given angles from 180.

101 + 38 = 139

180 - 139 = 41

x = 41°

The size of the angle at the bottom left of the triangle is 41°.

A triangle is a geometric figure which has three edges and three vertices. The sum of a triangle's three angles is 180°.

Given that the two angles of the triangle are 38° and 101°. We have to find the size of the other angle which is at the bottom left of the triangle. Let the size of the angle be x°.

We have to solve the equation:

x + 38 + 101 = 180

i.e. x = 180 - (38 + 101) = 180 - 139 = 41°

Therefore, the size of the angle at the bottom left of the triangle is 41°.

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Answer:

c = 6√2 cm

Step-by-step explanation:

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

108 = c²

c = ± √108 = ± 6√2

Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.

Answer:

72 cm or 6 square root of 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=72

c= 72 cm.  or 6 square root of 2

hope this helps.

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

Answer:

It is an acute angle due to the angle formed at the vertex being less than 90 degrees

Answer:

acute triangle

Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest

Answer:

A) if and only if a = 0

Step-by-step explanation:

Since Z1 = 12 + 6݅  and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)

Z1Z2 = (12 + 6)(a + bi)

Expanding the brackets, we have

Z1Z2 = 12a + 12bi + 6a + 6bi

Collecting like terms, we have

Z1Z2 = 12a + 6a + 12bi +6bi

Z1Z2 = 12a + 6a + (12b +6b)i

Simplifying, we have

Z1Z2 = 18a + 18bi

For Z1Z2 to be imaginary, then the real part must be zero.

That is 18a = 0 ⇒ a = 0

So, Z1Z2 is imaginary if and only if a = 0

Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]

Answer:

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Step-by-step explanation:

Given

Number of male = m

Number of female = f

Average salary = 2000

Average Salary of male = b + 200

Required

Average salary of female

Average is calculated as follows;

[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]

For the whole company;

The formula becomes

[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]

Multiply both sides by m + f

[tex]2000(m+f) = Total\ Salary[/tex]

The total salary is the sum of the male salary and female salary;

In other words;

Total Salary = Male Salary + Female Salary;

The above expression becomes

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1

For the male staffs;

[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]

[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]

Multiply both sides by m

[tex](b+200)m = Male\ Salary[/tex]

Substitute (b + 200)m for Male Salary in equation 1

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]

[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]

Subtract both sides by (b + 200)m

[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]

[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]

At this point, the average monthly salary of female staffs can be calculated;

[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Answer:

Step-by-step explanation:

If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.

So the area of the rectangle:  [tex]A_{rectangle}=EG\cdot FH[/tex]

FH ⊥ EG so the area of quadrangle EFGH:

[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]

no matter the location of segment EG

The area of EFGH is always One-half of the area of the rectangle.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have given that;

the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.

The kite consists of 2 triangle that are EFG and EHG.

Now,

In a triangle EFG is,

= 1/2 x EG x h......(1)

where h is the height from F to EG

Also the area of EHG:

= 1/2 x EG x h₁

where is the height from H to EG

We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.

Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁

Also, The area of a rectangle is rectangle length × rectangle width.

Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.

Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.

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Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Answer:

8

Step-by-step explanation:

BD is 32 units.

BE is half of BD

3x - 8 = 32/2

3x - 8 = 16

3x = 16 + 8

3x = 24

3/3x = 24/3

x = 8

Answer:

Solution,

Diagonals of rectangle bisects each other.so,

2 BE = BD

2( 3x - 8 ) = 32

6x - 16 = 32

Add 16 on both sides

6x - 16 + 16 = 32 + 16

Simplify

6x = 48

divide both sides of equation by 6

6x/6 = 48/6

calculate

X = 8

Hope this helps...

Good luck on your assignment..

Answer:

(x + 3)(2x + 5)

Step-by-step explanation:

Given

2x² + 6x + 5x + 15 ← grouping the terms

= (2x² + 6x) + (5x + 15) ← factor each group

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5) ← in factored form

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]

Step-by-step explanation:

Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:

[tex]y-k = C\cdot (x-h)^{2}[/tex]

[tex]y = C \cdot (x-h)^{2} + k[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.

[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).

After reading the statement of the problem, the following conclusion are found:

1) New function must have an absolute minimum: [tex]C > 0[/tex]

2) Transformation to the right: [tex]h > 0[/tex].

3) Transformation downwards: [tex]k < 0[/tex]

Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].

Answer:

Choice D

Step-by-step explanation:

Took the test

Answer:

B

Step-by-step explanation:

X is the domain.

The function comes from -∞ and goes to ∞

So B is the answer.

Answer:

[tex]y=\frac{5}{6}x+5[/tex]

Step-by-step explanation:

Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.

So slope intercept form is [tex]y=mx+b[/tex].

Like to find the y intercept we know it is the point that the line touches the y axis which is 5.

Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

So to do this we need two points that are on the line we can use (-6,0) and (6,10).

So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]

Answer:

2/3

Step-by-step explanation:

26/39

26 and 39 are multiples of 13.

Simplify the fraction.

26 ÷ 13 / 39 ÷ 13

⇒ 2/3

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

Answer:

The answer is option A.

Hope this helps you

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

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Answer:

The probability of choosing a heart, P(Heart) = 13/52 = 0.25

Step-by-step explanation:

Answer:

C. 46 degrees

Step-by-step explanation:

In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.

Answer:

C. 46°

Step-by-step explanation:

When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.

Tinh's reduction is incorrect. He should only divided the side lengths by 3.

Dividing the angle measures by 3 would make it into a completely different triangle.

Dividing only the side lengths will make the triangles slightly alike.

The answer is A.

Stay safe. God bless!

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- Elisha

Answer:

                 [tex]\bold{m=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]

Answer:

  y = -2x -5

Step-by-step explanation:

The line crosses the y-axis at -5. So, b = -5.

It goes down 2 units for each 1 unit to the right, so has a slope of ...

  m = rise/run = -2/1 = -2

__

The slope-intercept form of the equation of a line is ...

  y = mx +b      where m is the slope and b is the y-intercept

For the slope and y-intercept shown, the equation is ...

  y = -2x -5

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Answer:

The Amount amount he pays each month is 298

Step-by-step explanation:

Given:

Total amount of new car (including interest) = 17,880

Payment is splited over 60 months i.e time = 60 months

Required:

How much will be paid each month

To find the amount to be paid each month use the formula:

Monthly payment = Total amount / time

[tex] = \frac{17880}{60} = 298 [/tex]

Therefore, the amount William pays each month is 298