HELP ME PLS!
i need the first 4 examples

Answer:

[tex]b\geq 9[/tex]

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

[tex]\displaystyle A = \frac{1}{2}bh[/tex]

Since we want to area to be at least 36 square feet:

[tex]\displaystyle \frac{1}{2}bh \geq 36[/tex]

We are given that the height is eight feet. Substitute:

[tex]\displaystyle \frac{1}{2}(8)b\geq 36[/tex]

Simplify:

[tex]4b\geq 36[/tex]

Divide both sides by four. Hence, our inequality is:

[tex]b\geq 9[/tex]

In words, this means that the base must be at least 9 feet long.

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

Answer:

B.) x^12

Step-by-step explanation:

You don't multiply the exponents when multiplying x^7 × x^5, you add them.

If we add the exponents, we get x^12.

Hope this helps!

If there is something wrong, just let me know.

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For question 1:

Calculating the speed between A and B:

[tex]Time\ (t)= 1 \ hours\\\\Distance\ (d)= 10 \ km\\\\V=\frac{d}{t}=\frac{10}{1}= 10 \ kmph[/tex]

For question 2:

Calculating the speed between B and C:

[tex]Time\ (t)= (2-1)=1 \ hours\\\\Distance\ (d)= (15-10)= 5\ km\\\\V=\frac{d}{t}=\frac{5}{1}= 5 \ kmph\\[/tex]  

For question 3:

In this the speed between A and B is the double to speed between B and C.

Answer:

$7200 at 10%

$4800 at 15%

Step-by-step explanation:

Answer:

There is overwhelming evidence that human activities, especially burning fossil fuels, are leading to increased levels of carbon dioxide and other greenhouse gases in the atmosphere, which in turn amplify the natural greenhouse effect, causing the temperature of the Earth's atmosphere, ocean, and land surface to ...

Answer: LM = 23

Step-by-step explanation:

Solve the algebraic equations:

Line KN: (solve for x)

[tex]14x-3=25[/tex]

move the 3 to the other side with addition

[tex]14x=28[/tex]

divide by 14 to get x by itself

[tex]x=2[/tex]

Now that we have x we can find line KL:

[tex]9(2)+5\\18+5\\23[/tex]

So we now know that KL is 23 units. And we know that KL = LM

Answer:

The equation of the circle is given by:

(x-a)^2+(y-b)^2=r^2

where:

(a,b) is the center  of the circle

given that the center of our circle is (2,3) with the radius of 5, the equation will be:

(x+2)^2+(y+3)^2=5^2

expanding the above we get:

x^2+4x+4+y^2+6y+9=25

this can be simplified to be:

x^2+4x+y^2+6y=25-13

x^2+y^2+4x+6y=12

Answer:

[tex]\sf\longrightarrow \boxed{\sf x^2+y^2-4x-6y-12=0}[/tex]

Step-by-step explanation:

Here we are given the radius of circle as 5cm and the centre of the circle is (2,3) . We need to find the equation of the circle. Here we can yse the Standard equation of circle to find the equation .

Standard equation of circle :-

[tex]\sf\implies \green{ (x - h )^2+(y-k)^2 = r^2 }[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow ( x - 2 )^2 + ( y - 3)^2 = 5^2 [/tex]

Simplify the whole square ,

[tex]\sf\longrightarrow x^2 + 4 -4x + y^2+9-6y = 25[/tex]

Rearrange and add the constants ,

[tex]\sf\longrightarrow x^2 + y^2 -4x -6y +13 = 25 [/tex]

Subtract 25 on both sides ,

[tex]\sf\longrightarrow x^2 +y^2-4x-6y+13-25=0[/tex]

Simplify ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x^2+y^2-4x-6y-12=0}}[/tex]

The function is negative for all real values of x where x < -3 or x > -1 and the domain of the function is -∝ < x < ∝

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = - ( x + 3 ) ( x - 1 )   be equation (1)

Now , the values of x which makes the function negative are

when x < -3

f ( x ) = - ( -ve ) ( -ve ) = -ve

when x > 1

f ( x ) = - ( +ve ) ( +ve ) = -ve

So , the domain of the function is all real numbers and -∝ < x < ∝

Hence , the function is solved

To learn more about domain and range click :

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Answer:

Value of given expression x is -4

Step-by-step explanation:

Given equation in question;

4 + 2|3x + 4| = -4

Find:

Value of given expression

Computation:

4 + 2|3x + 4| = -4

Using BODMAS rule;

⇒ 4 + 2|3x + 4| = -4

⇒ 2|3x + 4| = - 4 - 4

⇒ 2|3x + 4| = - 8

⇒ |3x + 4| = - 8 / 2

⇒ |3x + 4| = - 4

⇒ 3x + 4 = - 8

⇒ 3x = -8 - 4

⇒ 3x = -12

⇒ x = -12 / 3

⇒ x = -4

Value of given expression x is -4

Answer:

$40

Step-by-step explanation:

Let

Original price = x

Selling price = $10

Discount = 75%

Selling price = original price - (Discount * original price)

10 = x - 75% of x

10 = x - 0.75 * x

10 = x - 0.75x

10 = 0.25x

x = 10/0.25

x = 40

Original price = x = $40

Answer:

x=5, y=3

Step-by-step explanation:

Answer:

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

Answer:

Its a domain

Step-by-step explanation:

Domain:{2,3,4,6}

Answer:

C

Step-by-step explanation:

y coordinates must be at the numerator, while x coordinates at the denominator

3rd option is correct

13 × 2 + 13 × 9

Answer:

-3 =x

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines are parallel

2x+9 = 7x+24

Subtract 2x from each side

2x+9-2x = 7x+24-2x

9 = 5x+24

Subtract 24 from each side

9-24 = 5x

-15 = 5x

Divide by 5

-15/5 = 5x/5

-3 =x

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

Answer:

2663.0 cm³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Radius of sphere

= 17.2 ÷2

= 8.6 cm

Volume of sphere

[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]

= 2663.0 cm³ (3 s.f.)

Answer:

045

Step-by-step explanation:

North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.

Thus, northeast is 45 degrees. This image may help.

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. In the graph, the A represents the minor axis of the ellipse.

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be: (h±c, k) where c² = a² - b²

If its major axis is parallel to y-axis, then,

coordinates of its foci would be:  (h, k±c) where c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. Since an ellipse has two diameter, the major and the minor diameter. Therefore, in the graph, the A represents the minor axis of the ellipse.

Learn more about Ellipse here:

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Answer:

I don't know the answer to this question

Answer:

An inverse variation give a harder one next time

Step-by-step explanation:

Answer:

HT = 17 cm

<T = 58°

<H = 32°

Step-by-step explanation:

✔️Find HT:

Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²

Where,

a = HW = 15 cm

b = WT = 8 cm

c = HT

Plug in the values:

HT² = 15² + 8²

HT² = 289

HT = √289

HT = 17 cm

✔️Find <T by applying trigonometric ratio formula:

Recall: SOH CAH TOA

Reference angle (θ) = <T

HW = 15 cm = Opposite side length

WT = 8 cm = Adjacent side length

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos T = 8/15

T = [tex] cos^{-1}(0.5333) [/tex]

T ≈ 58°

✔️Find <H:

Sun of interior angles of a triangle = 180°

Therefore,

m<H + m<T + m<W = 180°

Substitute

m<H + 58° + 90° = 180°

m<H + 148° = 180°

m<H = 180° - 148°

m<H = 32°

Answer:

504 cm²

Step-by-step explanation:

Let the length and the width of the rectangle be L cm and W cm respectively.

Perimeter= 2(L +W)

2(L +W)= 108

L +W= 108 ÷2

L +W= 54

L= 54 -W -----(1)

[tex] \frac{L}{W} = \frac{7}{2} [/tex]

Cross multiply:

2L= 7W -----(2)

Substitute (1) into (2):

2(54 -W)= 7W

Expand:

108 -2W= 7W

+2W on both sides:

9W= 108

Divide both sides by 9:

W= 108 ÷9

W= 12

Substitute W= 12 into (1):

L= 54 -12

L= 42

Area of rectangle

= length ×width

= LW

= 42(12)

= 504 cm²

First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.

N will represent nickels

D will represent dimes

N + D = 30

---The problem tells us that there are 30 total coins

0.05N + 0.10D = 2.95

---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95

Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.

N + D = 30

N = 30 - D

Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.

0.05(30 - D) + 0.10D = 2.95

1.5 - 0.05D + 0.10D = 2.95

1.5 + 0.05D = 2.95

0.05D = 1.45

D = 29

Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.

N = 30 - D

N = 30 - 29

N = 1

Therefore, there are 29 dimes and 1 nickel.

Hope this helps!

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Answer:

y = 2x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (2, - 5) into the partial equation

- 5 = 4 + c ⇒ c = - 5 - 4 = - 9

y = 2x - 9 ← equation of line