find x

S
T
43
(9x -14)
U

Answer:

E and F.

Step-by-step explanation:

This can be written in quadratic formula.

x = -b +- √b² - 4ac/2a

The equation to solve is written as ax² + bx + c = 0.

a = 2, b = 7, c = 3

x = -7 +- √49 (7²) - 24 (4*2*3, or 4ac).

x = -7 +- √25

x = -7 +- 5

divide by 2a (4)

-7/4 = -1.75

5/4 = 1.25

now we do -1.75 +- 1.25

x = -1/2 (F.)

x = -3 (E.)
Sorry for the late response, I had made an error and had to fix it.

All four sides of a square are congruent and they all equal 90 degrees

Area:-

Answer:

408 ft²

Step-by-step explanation:

Given that,

→ Length (l) = 12 ft

→ Breadth (b) = 34 ft

Formula we use,

→ Area of rectangle = l × b

Then the area will be,

→ l × b

→ 12 × 34

→ 408 ft²

Hence, the area is 408 ft².

Answer: None

Step-by-step explanation:

There are no pairs of congruent sides, so the triangles cannot be proven congruent.

Answer:

36

Step-by-step explanation:

[tex] \frac{40}{32} = \frac{45}{?} \\ \frac{32 \times 45}{40 } = 36[/tex]

If quadrilateral H is a scaled copy of quadrilateral G then the value of i is 36.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that Quadrilateral H is a scaled copy of quadrilateral G.

Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

The sides are proportional.

40/32 = 45/i

We have to find the value of i

Apply cross multiplication

40i=45(32)

40i = 1440

Divide both sides by 40

i = 1440/40

i = 36

Hence, if quadrilateral H is a scaled copy of quadrilateral G then the value of i is 36.

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Answer:

48

Step-by-step explanation:

Straight line=180 degrees

we already know one angle and thats 132

so we're trying to find the other angle demention so we do 180-132 and end up with 48

Hope that helps :)

Answer:

260m

Step-by-step explanation:

the length and the width of a football field is 80m and 50 meters.

perimeter- (80+50)×2= 260m

hope it helps

Answer:

[tex]C=20degrees[/tex]

Step-by-step explanation:

[tex]75 -55=20[/tex]

or [tex]20+55=75[/tex]

So the degrees of Angle C is [tex]20[/tex]

Answer:

Question 1

F

T

T

The volume of figure A can be found by multiplying (5 · 7)(2).

Question 2

T

T

F

The total volume of the figure is 442 mm³

Question 3

T

F

T

The volume of the triangular prism is 108 in³

Step-by-step explanation:

Formula used

Volume of a prism = base area × height

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Volume of a cube = s³  (where s is the side length)

---------------------------------------------------------------------------------------------------

⇒ Volume of Figure A = (5 · 7)(2)

                                     = 70 cm³

⇒ Volume of Figure B = (13 · 7)(2)

                                     = 182 cm³

⇒ Total Volume = Volume of Figure A + Volume of Figure B

                           = 70 + 182

                           = 252 cm³

The first statement is false.

Rewritten statement:

The volume of figure A can be found by multiplying (5 · 7)(2).

---------------------------------------------------------------------------------------------------

⇒ Volume of rectangular prism = (15 · 15)(2)

                                                    = 450 mm³

⇒ Volume of central cube = 2³

                                            = (2 · 2 · 2)

                                            = 8 mm³

⇒ Total Volume = Volume of rectangular prism - Volume of cube

                           = 450 - 8

                           = 442 mm³

The third statement is false.

Rewritten statement:

The total volume of the figure is 442 mm³

---------------------------------------------------------------------------------------------------

⇒ Volume of rectangular prism = (12 · 3)(8)

                                                    = 288 in³

⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)

                                                 = 108 in³

⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism

                           = 288 + 108

                           = 396 in³

The second statement is false.

Rewritten statement:

The volume of the triangular prism is 108 in³

Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate

The ratio of distance covered by an object to tme taken is unit rate.

Calculate the unit rate for both Jonah and Tito

For Jonah

Unit rate = 5laps/9minutes

Unit rate = 0.56 laps per minute

For Tito

Unit rate = 7laps/11.2minutes

Unit rate = 0.625laps per minute

Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate

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The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.

The probability of getting a sum of 6 (3+3) is,

[tex]P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}[/tex]

The probability of getting the sum of 9 (6+3) or (3+6) is,

[tex]P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}[/tex]

The probability of getting the sum of 9 (6+3) or (3+6) is,

[tex]P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}[/tex]

The probability of getting a sum of 6 (3+3) is,

[tex]P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}[/tex]

There are three size of coffee to order:

Thus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

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Answer:

D. 8x - 3

Step-by-step explanation:

Simply add all the sides up - 2x+3x+3x - 1+1+1 = 8x - 3

Answer:

Binomial

Step-by-step explanation:

Simplify the expression :

There are 2 terms.

Hence, it is a binomial

Answer:

Linear expression

Step-by-step explanation:

First, simplify the expression.

Given expression: [tex]9p-10q+3-9p[/tex]

Collect like terms:   [tex]9p-9p-10q+3[/tex]

Combine like terms:   [tex]-10q+3[/tex]

As each term of the expression is either a numeric constant or a variable with no exponent, this is a linear expression.

It can also be called a binomial expression since the expression only contains two terms (the constant and the variable).

Answer:

(-4,2)

Step-by-step explanation:

Kindly check the attatched image to see the system graphed

The two equations intersect at (-4,2) so the solution is (-4,2)

Answer:

x = -8, x = 5

Step-by-step explanation:

This can be solved using Factorization method:

[tex] 40 = 3x + {x}^{2} \\ \\ \implies \: {x}^{2} + 3x - 40 = 0 \\ \\ \implies \: {x}^{2} + 8x - 5x- 40 = 0 \\ \\ \implies \: x({x} + 8) - 5(x + 8) = 0 \\ \\ \implies \: ({x} + 8) (x - 5) = 0 \\ \\ \implies \: ({x} + 8) = 0 \: \: or \: \: (x - 5) = 0 \\ \\ \implies \: x = - 8 \: \: or \: \: x = 5 \\ \\ x = - 8, \: \: 5[/tex]

Answer:

Step-by-step explanation:

21   22    23   23   23   24   24   24   27   29

(23 + 24)/2= 47/2= 23.5 is the median temperature

[tex]cos^{-1}[cos(\omega)]\implies \omega \\\\[-0.35em] ~\dotfill\\\\ cos\left( -\frac{\pi }{6} \right)\implies \stackrel{symmetry~identity}{cos\left( \frac{\pi }{6} \right)} \\\\\\ cos^{-1}\left[ cos\left( -\frac{\pi }{6} \right) \right]\implies cos^{-1}\left[ cos\left( \frac{\pi }{6} \right) \right]\implies \cfrac{\pi }{6}[/tex]

why did we use the positive version of π/6?

well, the inverse cosine function has a range of [0 , π], and -π/6 is on the IV Quadrant, out of the range for it, however it has a twin due to symmetry on the I Quadrant, that is π/6, thus the reason.

The angle in the interval (0, pi) whose cosine value is √3 / 2 is π/6 radians.

Cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse of a right angled triangle.

We have to find the angle in the interval (0, π) such that the cosine of the angle is √3 / 2.

We know that, ratio of sides of 30-60-90 triangle is 1 : √3 : 2.

Hypotenuse = 2x

Adjacent side to 30° = √3 x

Cos (30°) = Adjacent side / Hypotenuse

               = √3 x / 2x

               = √3 / 2

30 degrees is equivalent to 30 × (π/180) = π/6 in radians

Hence π/6 is the angle in the interval (0, π) whose cosine value is √3 / 2.

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Answer:

1125 m

Step-by-step explanation:

Given equation:

[tex]h=-5t^2+150t[/tex]

where:

Method 1

Rewrite the equation in vertex form by completing the square:

[tex]h=-5t^2+150t[/tex]

[tex]\implies h=-5t^2+150t-1125+1125[/tex]

[tex]\implies h=-5(t^2-30t+225)+1125[/tex]

[tex]\implies h=-5(t-15)^2+1125[/tex]

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

Method 2

Differentiate the function:

[tex]\implies \dfrac{dh}{dt}=-10t+150[/tex]

Set it to zero and solve for t:

[tex]\implies -10t+150=0[/tex]

[tex]\implies 10t=150[/tex]

[tex]\implies t=15[/tex]

Input found value of t into the original function and solve for h:

[tex]\implies -5(15)^2+150(15)=1125[/tex]

Therefore, the maximum height is 1125 metres.

Convert to vertex form y=a(x-h)²+k

Vertex at (15,1125)

As a is negative parabola is opening downwards hence vertex is maximum

Answer:

0.06

Step-by-step explanation:

Answer:

.06

Step-by-step explanation:

If 1 is 100%, then .06 is 6%.

Hope this helps!

Answer:

Current price is $3,000

Price 10 years from today is $3,840

Step-by-step explanation:

[tex]3000( {1.025}^{10} ) = 3840.25[/tex]

Answer:

NO

Step-by-step explanation:

Reasons:

1) It is a poor country

2) many economic and politic problems

3) public infracture is limited

4) education is not as advanced

5) creations of jobs is short

Answer:

x=

1

3

y+

17

3

Step-by-step explanation:

This is all i can get so far, if can improve opon this let me know

Answer:

answer down below

Step-by-step explanation:

Answer:

[tex]30^{\circ}[/tex].

Step-by-step explanation:

Let [tex]\theta[/tex] denote the unknown angle of elevation. Let [tex]h[/tex] denote the height of the tower.

Refer to the diagram attached. In this diagram, [tex]{\sf A}[/tex] denotes the top of the tower while [tex]{\sf B}[/tex] denote the base of the tower; [tex]{\sf BC}[/tex] and [tex]{\sf BD}[/tex] denote the shadows of the tower when the angle of elevation of the sun is [tex]60^{\circ}[/tex] and [tex]\theta[/tex], respectively. The length of segment [tex]{\sf AB}[/tex] is [tex]h[/tex]; [tex]\angle {\sf ACB} = 60^{\circ}[/tex], [tex]\angle {\sf ADB} = \theta[/tex], and [tex]{\sf BD} = 3\, {\sf BC}[/tex]..

Note that in right triangle [tex]\triangle {\sf ABC}[/tex], segment [tex]{\sf AB}[/tex] (the tower) is opposite to [tex]\angle {\sf ACB}[/tex]. At the same time, segment [tex]{\sf BC}[/tex] (shadow of the tower when the angle of elevation of the sun is [tex]60^{\circ}[/tex]) is adjacent to [tex]\angle {\sf ACB}[/tex].

Thus, the ratio between the length of these two segments could be described with the tangent of [tex]m\angle {\sf ACB} = 60^{\circ}[/tex]:

[tex]\begin{aligned}\tan(\angle {\sf ACB}) &= \frac{\text{opposite}}{\text{adjacent}} = \frac{{\sf AB}}{{\sf BC}}\end{aligned}[/tex].

[tex]\begin{aligned}\frac{{\sf AB}}{{\sf BC}} = \tan(60^{\circ}) = \sqrt{3}\end{aligned}[/tex].

The length of segment [tex]{\sf AB}[/tex] is [tex]h[/tex]. Rearrange this equation to find the length of segment [tex]{\sf BC}[/tex]:

[tex]\begin{aligned} {\sf BC} &= \frac{{\sf AB}}{\tan(\angle ACB)} \\ &= \frac{h}{\tan(60^{\circ})}\\ &= \frac{h}{\sqrt{3}} \\ &\end{aligned}[/tex].

Therefore:

[tex]\begin{aligned}{\sf BD} &= 3\, {\sf BC} \\ &= \frac{3\, h}{\sqrt{3}} \\ &= (\sqrt{3})\, h\end{aligned}[/tex].

Similarly, in right triangle [tex]{\sf ABD}[/tex], segment [tex]{\sf AB}[/tex] (the tower) is opposite to [tex]\angle {\sf ADB}[/tex]. Segment [tex]{\sf BD}[/tex] (shadow of the tower, with [tex]\theta[/tex] as the angle of elevation of the sun) is adjacent to [tex]\angle {\sf ADB}[/tex].

[tex]\begin{aligned}\tan(\angle {\sf ADB}) &= \frac{\text{opposite}}{\text{adjacent}} = \frac{{\sf AD}}{{\sf BD}}\end{aligned}[/tex].

[tex]\begin{aligned}\frac{{\sf AB}}{{\sf BD}} = \tan(\theta) \end{aligned}[/tex].

Since [tex]{\sf AB} = h[/tex] while [tex]{\sf BD} = (\sqrt{3})\, h[/tex]:

[tex]\begin{aligned}\tan(\theta) &= \frac{{\sf AB}}{{\sf BD}} \\ &= \frac{h}{(\sqrt{3})\, h} \\ &= \frac{1}{\sqrt{3}}\end{aligned}[/tex].

Therefore:

[tex]\begin{aligned}\theta &= \arctan\left(\frac{1}{\sqrt{3}}\right) \\ &= 30^{\circ}\end{aligned}[/tex].

In other words, the angle of elevation of the sun at the time of the longer shadow would be [tex]30^{\circ}[/tex].

Answer:

9 oz I think not entirely sure

Answer:

91425

Step-by-step explanation:

0.02 is annual growth

10 is for the period of time

75000 * ( 1 + 0.02) ^ 10 ~ 91425

Answer: $26

Step-by-step explanation:

   If $19.50 is 3/4, we need to find 4/4.

3/4 -> 0.75

4/4 -> 1

    We will set up a proportion and solve.

[tex]\frac{19.5}{0.75} =\frac{x}{1}[/tex]

19.5 = 0.75x

26 = x

         The professional ball is $26.

Answer:

$26

Step-by-step explanation:

19.50 = 3/4

so

to find 1/4, we do 19.50 / 3 = 6.5

6.5 = 1/4

so the price of a professional ball would be 4/4 (1 whole)

6.5 x 4 = 26

Hope this makes sense.

- profparis