An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 25 inches, and the length of the base is 20 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

Answer:

5x^3 + 7

Step-by-step explanation:

So basically a binomial is when there are 2 terms

To a certain degree (it's 3 in this case) is when the variable is to that power.

For example: [tex]5x^{3} + 7[/tex]

Answer:

x = 1 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

[tex]x^{2}- 2x = 4[/tex]

Subtract 4 on both sides.

[tex]x^{2} -2x-4=0[/tex]

Now, the quadratic formula.

x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)

x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2

x = (2±[tex]\sqrt{20}[/tex])/2

x = (2±2[tex]\sqrt{5}[/tex])/2

x = 1 ± [tex]\sqrt{5}[/tex]

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

Answer:763

Step-by-step explanation:

you add both numbers

Answer:

1) 6.6 × 10^5   2) 3.65 × 10^-3   3) 9 × 10^-3   4)  8.1 × 10^2

Step-by-step explanation:

I think that's what it is.

Answer:

Step-by-step explanation:

[tex]1.\ 2(6h - 3) = 30[/tex]

[tex]2.\ \frac{5z+4}{2}=7[/tex]

[tex]3.\ 22 - 7y = 1[/tex]

[tex]4.\ \frac{8-2t}{3} =2[/tex]

[tex]5.\ \frac{3}{4}x +2x=11[/tex]

[tex]6.\ 5(6 + 4g) =50[/tex]

[tex]7. \ 9+\frac{2}{3}k=13[/tex]

[tex]8.\ \frac{7+3c}{5}=2[/tex]

[tex]9.\ \frac{3f+6}{8}=3[/tex]

[tex]10.\ 8(5q + 6)=88[/tex]

Hope this helps!

Answer:

Next you should multiply the numerators and denominators.

explanation:

i got 100% ;)

Answer:

Multiply The Numearters and Denomenators

Step-by-step explanation:

Answer:

b) [tex]4 \frac12[/tex] inches

3. a) [tex]2\frac{1}{8}[/tex] foot

Step-by-step explanation:

b)  area of a rectangle = length × width

Given:

[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]

[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]

[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]

[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]

[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]

[tex]\implies \dfrac{765}{170} =x+3[/tex]

[tex]\implies \dfrac92=x+3[/tex]

[tex]\implies 9=2(x+3)[/tex]

[tex]\implies 9=2x+6[/tex]

[tex]\implies 2x=3[/tex]

[tex]\implies x=\dfrac32[/tex]

Therefore,

[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]

Question 3a

Subtract the length of the picture from the length of the wall, then divide the answer by 2.

[tex]\implies (14\frac12-10\frac14) \div 2[/tex]

[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]

[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]

[tex]\implies \dfrac{17}{4} \div 2[/tex]

[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]

[tex]\implies \dfrac{17}{8}[/tex]

[tex]\implies 2\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

The second graph is the answer

Answer:

  2

Step-by-step explanation:

To find the number corresponding to a percentage, multiply the base value by the percentage.

  10% of 20 = 0.10 ×20 = 2

2 people picked vanilla cupcakes.

h

it's f but reflected diagonally

The value of x coordinate for point E is,

⇒ x = 6

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Grace has a segment with endpoints C (3, 4) and D (11, 3)

And, It is divided by a point E such that CE and DE form a 3:5 ratio.

Hence, We get;

The coordinates of E is,

E = [ ( 3× 11  + 5 × 3)/(3 + 5) , (3×3  + 5 × 4)/(3 + 5) ]

   = [ (33 + 15)/8 , (9 + 20)/8 ]

    = *(48/8  ,  29/8)

    =  (6 , 3.625)

Thus, The value of x coordinate for point E is,

⇒ x = 6

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The computation of the power shows that Natasha was right as the value gotten is 295hp.

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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Answer:

#1

Well lets solve the polynomial first.

(4p +3) ^2

That is basically

(4p + 3) (4p + 3)

And we’re trying to find the error in the “equal” solution.

16p^2 + 8p + 9.

So let’s solve the polynomial first

Following F.O.I.L

F- First

O- Outter

I- Inner

L- Last

So doing the equation in order.

4p * 4p = 16p^2

4p * 3 = 12p

3 * 4p = 12p

3* 3 = 9

Added it all up.

16p^2 + 12p + 12p + 9

Simplify.

16p^2 +24p +9
We can see that in this case the 8p is wrong.

So we replace 8p with 24p

In this case the last option.

Factoring #2

So we’re factoring

9x^2 -6x - 3

So how are we gonna do this.

So I’m just gonna go over the simple method.

The standard form of a quadratic is

Ax^2 + bx + c = 0

We don’t have to worry about the equal 0 part here for now.

ax^2 + bx + c

A being the number next to x^2

B is the number being next to x

C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)

So let’s plug it in.

(It’s already plugged in so we can solve)

9x^2 - 6x - 3

Multiply a and c in ths case being, 9 and -3.

You’d get -27

We need two numbers that multiply to -27 and add up to -6

From here it’s guessing and checking.

Here’s my process.

trial 1

Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.

But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.

I look at -27 and think of two numbers that would give the lowest.

-9 * 3

-9 * 3 = -27

-9 + 3 = -6

It looks like I got it already on the first try.

The numbers are -9 and 3

end of trial 1

So now I know that the numbers are -9 and 3.

Using that information I just plug it into the quadratic but replace it with b.

9x^2 -9x + 3x - 3

Now you can simplify this

In the end you’d get

3 (3x+1)(x-1)

You’d have the third option open to you

Figure out the second one using these strategies

Answer:

C Is the correct answer

I am not sure please check it out once

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1 ton = 2000 pounds

2000÷40=50

A) The computation of the break-even point in units for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                                Model X100     Model X950       Model X800

=                              3,000 units          771 units           1,350 units

              (1,080,000/$360)  (1,080,000/1,400)    (1,080,000/800)

B) The computation of the break-even point in pesos for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                       Model X100              Model X950         Model X800

=               240 million pesos      11,416,490 pesos      32,432,432 pesos

              (1,080,000/0.45%)  (1,080,000/9.46%)    (1,080,000/3.33%)

C) If Green Meadows has a target profit of 1M, the number of units of each type of cooler that must be sold is determined using the following break-even formula:

= Fixed costs + Target Profit /Weighted contribution margin per unit

                                Model X100     Model X950            Model X800

=                               5,778 units       1,486 units             2,600 units

                    (2,080,000/$360)  (2,080,000/1,400)    (2,080,000/800)

The break-even analysis is an accounting technique used to determine the break-even point.

The break-even point shows the units or dollars that must be achieved so that the total revenue equals the total costs, both variable and fixed.

Fixed cost = 1,080,000 pesos

                                     Model X100  Model X950    Model X800

Selling price                       8,800          14,800              24,000

Variable cost                      7,600         12,000               20,000

Contribution margin           1,200          2,800                  4,000

Sales mix                              30%             50%                    20%

Weighted contribution

 margin                               360           1,400                    800

Weighted contribution

 margin ratio                    0.45%         9.46%                  3.33%

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Traingle DEF is isosceles

So

Hence

Answer :  8

Explanation : 4 × 2 = 8

◊ YusuCr ◊

Answer:

8

Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)

Answer:

1st and 6th option, 35 adult tickets

Step-by-step explanation:

So we know adult tickets are x and children tickets are y.

The total number of tickets is 57, so

x + y = 57

The adult tickets are worth 6 and the children's tickets are worth 2.50.

The total cost is 265.

6x + 2.5y = 265

Now, the system of equations.

6x + 2.5y = 265

-6x - 6y = -342

-3.5y = -77

y = -77/-3.5

y = 22

Plugging y back in

x + 22 = 57

x = 35 adult tickets sold

* $265 worth of tickets were sold

* Adult tickets cost $6

* Child tickets cost $2.50

* 57 tickets were sold

Let x represents the number of adult tickets sold and y as the number of child ticket sold

Which squations equation represents the scenerio? select 2 options

so ,the equations would be

⤿ x + y = 57 ✓

⤿ 6x + 2.5y = 265 ✓

x + y = 57.....(1)

6x + 2.5y = 265.....(2)

Multiplying equation 1st by 6

we get,

6x + 6y = 342 ...(3)

subtracting equation (3) by equation (2)

we get,

6x + 6y = 342

-6x + 2.5y= 265

_____________

ㅤㅤ 3.5y =

ㅤㅤ y = 77/3.5

ㅤㅤ y = 22

_______________

______________________________

_______________________________

_______________________________

Answer:

D is the correct ans

Step-by-step explanation:

Because

Answer:

forty hundreths

Step-by-step explanation:

40/100 is equivalent to 4/10 and has a denominator of 100

(forty hundreths)

Reasoning? 40/100 is 10 times 4/10

Answer:

270216 this the multiplication of the numbers you can also use a calculator

When the sides are the same then the triangles are congruent.

Identical lines through the sides of a triangle indicate that the sides are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Congruent triangles are two triangles that are identical in terms of size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.

Thus, identical lines through the sides of a triangle indicate that the sides are congruent.

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Answer:

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

[tex]\tt 8x+51+6x-25=180[/tex]

[tex]\tt 14x+26=180[/tex]

[tex]\tt 14x=180-26[/tex]

[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]

[tex]\tt x=11[/tex]

m∠AOB:-

[tex]\tt 8(11)+51[/tex]

[tex]\tt =88+51[/tex]

[tex]\tt =139^{o}[/tex]

Therefore, m∠AOB=139°