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Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

3x=174

x=58 degrees

FDE=ADC= x+3=61 degrees. Hope this helps!

Answer:

Step-by-step explanation:

Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.

To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.

Given length of ramp = hypotenuse = 1m

Height =Opposite side = 0.643m

Using SOH;

sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]

sin[tex]\theta[/tex] = 0.643/1

sin[tex]\theta[/tex] = 0.643

[tex]\theta[/tex] =sin⁻¹0.643

[tex]\theta[/tex] = 40°

The value of the acute angle is 40°

Answer:

Step-by-step explanation:

There are two general types of data. Quantitative data is information about quantities; that is, information that can be measured and written down with numbers. Some examples of quantitative data are your height, your shoe size, and the length of your fingernails.

Answer:

10/4

Step-by-step explanation:

We can use the pythagorem theorem to solve for what is AB

6^2+8^2= c^2

36+64= c^2

100=c^2

c= 10= AB

Since we know that AB is 10 then we can divide it by 4

10/4

Answer:

maybe you can mulitply sorry if im wrong im also struggling :(

Answer:

The answer is 12 minutes.

Step-by-step explanation:

It is given that the cost of one minute is $0.18. Firstly, you have to substract the remaing credits from her original credits :

$30 - $27.84 = $2.16

We have found out that she uses $2.16 for her long distance call. Next, you have to divide 18 cents from the uses in order to find out how many minutes she use :

[tex]1 \: min = 0.18dollar[/tex]

[tex]x \: mins = 2.16dollars[/tex]

[tex]x = 2.16 \div 0.18[/tex]

[tex]x = 12 \: mins[/tex]

The answer is 15 square ft

Answer:

15 square feet

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

18 ÷ 3 = 6

The length of KP is 6 units.

The line segment from a vertex to the middle of the other side is what is meant by a median. When the vertex is an angle in an equilateral triangle or the non-congruent angle of an isosceles triangle, it is also an angle bisector.

Given:

From the figure CP = PB then AP is a median.

AP= 18 units

Now, the line QB divides the line AP in ratio 2:1.

So, KP = AP /3

KP = 18/3

KP = 6 units

Learn more about  Median here:

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Answer:

$80.00

Step-by-step explanation:

If you round up the values, you should evaluate to the following:

Marion/Elaine have $300.00

Marion/Elaine need $700.00

Subtract them from each other and that equals $400.00 dollars that they need.

Since it is a 5 week period this is over, you can divide 400 by 5, what do you get? $80.00

Answer:

The set of points in a plane that are equidistant from a given point create a circle.

Hope this helps!

:)

Answer:

the answer is 12

Step-by-step explanation:

2 x ( − 2 x ) + 2 x ⋅ − 3

Simplify the expression.

− 4 x 2 −  6 x

Answer:

X^2-6x

Step-by-step explanation:

2x times -2x is 0 which is x^2

2x times -3 is -6x

Answer:

It has exactly 4 faces that triangles.

Step-by-step explanation:

Answer:

it has exactly four faces

it has four vertices

has six edges'

Step-by-step explanation:

Answer:

The volume of ice cream cone is 66 cubic inch.

Step-by-step explanation:

Diameter of ice cream cone is 6 inches

Height of the cone is 7 inches

The volume of a cone shaped object is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substituting all the values in above formula as:

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3[/tex]

So, the volume of ice cream cone is 66 cubic inch.

Answer:

66

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.

The equation of the line of best fit is y = 0.5x + 1.

Substituting x = 2 into the equation, we get:

y = 0.5(2) + 1

y = 1 + 1

y = 2

So, when x = 2, the predicted y-value on the line of best fit is 2.

To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.

Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.

Final answer:

To determine the residual value for x = 2, we need the actual y value from the data points. The residual is the difference between this actual y value and the predicted value from the line y = 0.5x + 1. Without the actual y value, the residual cannot be calculated.

Explanation:

The subject of this question is residual value in the context of linear regression, which is a part of high school Mathematics. The residual is the difference between the actual y value of a data point and the y value predicted by the line of best fit. When x = 2, we first calculate the predicted value using the equation y = 0.5x + 1, which gives us y = 2. To find the residual value, we need the actual y value from the given data points. If there is no actual y value given specifically for x = 2, we cannot calculate the residual value. Without that actual data point, we cannot compare it to the predicted value of 2. Please provide the actual y value for x = 2 to determine the residual.

Answer:

first one is 3 seconds second one is 6 seconds

Step-by-step explanation:

The object will hit the ground in 3 seconds.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(t)=96t-16t².

The object be 144 feet in the air.

144=96t-16t²

144=16(6t-t²)

t²-6t+9=0

By splitting middle term method, we get

t²-3t-3t+9=0

t(t-3)-3(t-3)=0

t-3=0

t=3

Therefore, the object will hit the ground in 3 seconds.

To learn more about the function visit:

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Answer:

120

2 real intercepts

Step-by-step explanation:

f(x) = -7x^2 + 8x + 2

The discriminant is

b^2 -4ac

where ax^2 +bx+c

a=-7 b =8 c=2

The discriminant is

8^2 - 4(-7) (2)

64 +56

120

This will have 2 real x intercepts because 120>0

Answer:

120 ; Two

Step-by-step explanation:

-7x2 + 8x + 2

B² - 4AC

8² - 4(-7)(2)

64 - (-56)

120

Since 120 > 0, the graph will have two distinct x-intercepts

Answer: There will be $2951.52 money in the account in 15 years

Step-by-step explanation:

Given: Principal ; P = $1200

Interest rate;r  = 6% compounded continuously

Time; t  = 15 years

As we know the compounded continuously formula is given by

[tex]A= Pe^{rt}[/tex] where A is amount , P is principal , r is rate, t is time and e be the mathematical constant.

So according to question we have

[tex]A= 1200 e^{0.06 \times 15} = 1200 e^{0.9} \approx 2951.52[/tex]

Hence, there will be $2951.52 money in the account in 15 years

Answer:

D) s-2ac/2a+2c

Step-by-step explanation:

[tex]s = 2ab + 2bc + 2ac \\ s - 2ac = b(2a + 2c) \\ \huge \red{ \boxed{ b = \frac{s - 2ac}{2a + 2c} }}[/tex]

Answer:

21u is less than or equal too 126

Step-by-step explanation:

Final answer:

The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.

Explanation:

The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.

Answer:

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is -14.

multiplying the coefficient of y by 1/2 will give -14/2 = -7

- squaring -7 will result in (-7)²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49

Answers:

1.) -y+9z-16y-25z  =   -17y-16z

2.) 6x +3y-y+2+2  =   6x+2y+4

3.) 9b + 5(b - 4) + 15  =   14b-5

4.) -4(3x + 5) + 10x + 1  =   -2x-19

5.) 0.5(y + 4) + 18y - 9  =   18.5y-7

6.) -0.7r+9(-r-15)  =    -9.7r-135

Answer:

b) 5

Step-by-step explanation:

6+10=16

40 times 2 = 80

80 div by 15 = 5

Answer:

The answer is 5units

Step-by-step explanation:

Because it is

Answer:

S= 5/2

Step-by-step explanation:

Answer:

ITS D YALL JUST TOOK THE TEST 2021

Step-by-step explanation:

Answer:

(2x)^4 - (3y)4

Step-by-step explanation:

using this identity a^2 - b^2 = (a + b )(a - b)

=(4x^2)^2 - (9y^2)^2

=(2x)^4 - (3y)4

Answer:

C) 5.8

Step-by-step explanation:

75/13 = 5.7692

rounded = 5.8

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation: