Fg=14a+1, Fm=14.5 what is a

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer

31 7/8

Step-by-step explanation:

12 3/4 x 2 1/2=51/4 x 5/2

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

Answer:

1078

Step-by-step explanation:

Total no of rows (n) = 22

Since, 18, 20, 22 ..... forms an arithmetic sequence with first term (a) = 18 and common difference (d) = 2.

We need to find: Total no of seats in the theatre \((S_{22}).\)

Formula to be used:

\(S_{n}= \frac{n}{2}\bigg[2a+(n-1)d\bigg]\)

Plug the values of a, d and n in the above formula, we find:

\(\implies S_{22}= \frac{22}{2}\bigg[2(28)+(22-1)(2)\bigg]\)

\(\implies S_{22}=11[56+(21)(2)]\)

\(\implies S_{22}=11[56+42]\)

\(\implies S_{22}=11[98]\)

\(\implies S_{22}=1078\)

Thus, there are total 1078 seats in the theatre.

Answer:

celluar resperation

Step-by-step explanation:

The measure of angle ∠T is equivalent to 40°.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given is the measure of ∠Z = 136°.

We can write -

∠T + ∠Z = 180°

∠T = 180° - ∠Z

∠T = 180° - 136°

∠T = 40°

Therefore, the measure of angle ∠T is equivalent to 40°.

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Answer:

Step-by-step explanation:

Answer:

A. M<1=33

B. M<2=90

C. M<3=57

Step-by-step explanation:

I hope this helps you good day guys Merry Christmas!!! :)

The value of C based on the information given about the integer is C. 22.

From the information given,

b² + bc - 23 = 0

Let the assumed value for a = 1

b² + bc - 23 = 0

1² + (1 × c) - 23 = 0

1 + c - 23 = 0

c = 23 - 1

c = 22.

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Answer:

6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

8+7+4

8+7=15

15+4=19

Answer:

10520000 approximately I think

Problem

Solution

For this case the new measurements are:

AB'= 1/2 *34= 17

BC'= 1/2 * 16= 8

CA' = 1/2 * 30=15

Then we can find the new angle A using the following relation:

sin A'= BC' /BA'

Replacing we got:

sin A' = 8/17

A' = sin^-1 (8/17)= 28.07º

And the final answer for this case would be:

C. B'C'=8 , m

so we'd want to find all "t" when the ball was 9 meters up in the air, or namely what's "t" when h(t) = 9, well, let's simply set h(t) = 9

\(\stackrel{h(t)}{9}=2+13t-5t^2\implies 0=-5t^2+13t-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-5}t^2\stackrel{\stackrel{b}{\downarrow }}{+13}t\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(t= \cfrac{ - (13) \pm \sqrt { (13)^2 -4(-5)(-7)}}{2(-5)} \implies t = \cfrac{ -13 \pm \sqrt { 169 -140}}{ -10 } \\\\\\ t= \cfrac{ -13 \pm \sqrt { 29 }}{ -10 }\implies t= \begin{cases} \frac{ -13 + \sqrt { 29 }}{ -10 }\\\\ \frac{ -13 - \sqrt { 29 }}{ -10 } \end{cases}\implies t\approx \begin{cases} 0.76\\\\ 1.84 \end{cases} ~~ \textit{\LARGE seconds}\)

there are two values, Check the picture below, that's about the parabolic path for the object, and it hits 9 meters high twice, once on the way up, and again on the way down.

Answer:

I think it's the first one... but I'm not pretty sure.

Answer:

C

Step-by-step explanation:

edge 2020

Wheat. Actually, the entire agriculture complex, including corn, beef, pork and beans could fit this description. But for now we will focus on wheat.

Well, if it is a trick question, then I would say that the answer is the air we breathe. We don't need to buy it.

Answer:

Air

Hope you could understand.

If you have any query , feel free to ask

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

mom

Step-by-step explanation:

Hence the value of c = 4 in [3,5] for Rolles theorem.

Rolle's Principle

If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.

The interval [a, b] is closed and the function f is continuous.

ii) On the open interval, the function f can be differentiated (a, b)

iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.

There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

let f(x)=x²-8x+12 in [3,5]

i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.

ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.

now f(3)=3²-8*3+12

f(3)= 9-24+12

f(3)= -3

f(5) = 25-40+12

f(5)= - 3

f(3) = f(5)

f'(x)= 2x-8

x=c ,c in [3,5]

f'(c)= 2c-8

2c-8=0

c=4

Hence the value of c = 4 in [3,5] for Rolles theorem.

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The exact value of the sine of angle 78° sin(78°) is presented as follows;

\(sin(78^{\circ}) = \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}\)

The sine of an angle is found by taking the ratio of the opposite side to the hypotenuse side of a right triangle that has the specified angle.

The sine of angle 78° is found from the sine of the sum of two angles (60° + 18°)  as follows;

sin(78°) = sin(60° + 18°)

sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)

Therefore, sin(78°) = sin(60° + 18°)  = sin(60)·cos(18°) + cos(60°)·sin(18°)

Where, 18° = A, we have;

5·A = 90°

2·A = 90° - 3·A

sin(2·A) = sin(90° - 3·A) = cos(3·A)

2·sin(A)·cos(A) = 4·cos³(A) - 3·cos(A)

2·sin(A)·cos(A) - (4·cos³(A) - 3·cos(A)) = 0

2·sin(A) - (4·cos²(A) - 3) = 0

2·sin(A) - (4·(1 - sin²(A)) - 3) = 0

4·sin²(A) - 2·sin(A) - 1 = 0

Which gives;

\(sin(A) = \dfrac{-1\pm \sqrt{5} }{4}\)

cos²(18°) = 1 - sin²(18°)

cos(18°) = √(1 - sin²(18°))

\(cos(18^{\circ}) =\sqrt{1 - \left( \dfrac{\sqrt{5} -1 }{4}\right)^2} = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\)

\(cos(18^{\circ}) = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\)

Therefore;

\(sin(78^{\circ})=\dfrac{\sqrt{3} }{2} \cdot \left( \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\right) +\dfrac{1}{2} \cdot \left( \dfrac{\sqrt{5} -1 }{4}\right)= \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}\)

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The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =

10 : 5 + 12 - 6

10 : 11

The simplified form of the expression in the ratio is 10 : 11.

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maybe we could answer if there waas a pic=]

Answer:

im gonna say its the last one

Step-by-step explanation:

all of the graphs and histograms ive seen have a 0 at the y

the solved equation will be x=7.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

2/X-5 - 4/ x+5 =2/ x²-25

\(\frac{(x+5)2-4(x-5)}{x^{2} -25}\) = \(\frac{2}{x^{2} -25}\)

2x-4x+10+20 = 2

-4x=-28

x=7

Hence, the solved equation will be x=7.

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Answer:

5300

Step-by-step explanation:

1590 people are not men so they are women

so

\( \frac{100 - 70}{100 } = \frac{1590}{x} \\ \\ \frac{3}{10} = \frac{1590}{x} \\ \\ x = 5300 \: totoal \: workers\)

Answer: I believe the answer would be 5300.

Answer:

6

Step-by-step explanation:

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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Solution

Given the function f(x) = 7.75x

The coefficient of x is 7.75

7.75 represents his hourly wag

Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:

0.36 or 9/25

Step-by-step explanation:

3/5*3/5

Answer:

2.4 use a scientific calculator like desmos it will really help:)

Step-by-step explanation: