A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown. 7.5 ft 12.5 ft 7.5 ft 12.5 ft What is the area of the garden in square feet?​

Answer:

-5 ± √5² - 4 · 1 · 4

         2 · 1

Step-by-step explanation:

ax²+bx+c=0 (quadratic equation)

x= -b ± √b² - 4ac

           2a

a= 1

b= 5

c= 4

-5 ± √5² - 4 · 1 · 4

            2 · 1

Answer: A

Step-by-step explanation:

If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.

We can use the fact that:

sinθ = cos(90 - θ)

to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

If 2sinθ = 6/5.

Then the value of cos (90 - θ) will be

cos (90 - θ) can be written as sin θ

Then we have

cos (90 - θ) = sin θ

cos (90 - θ) = 3/5

Learn more about sine to cosine conversion here:

https://brainly.com/question/1421592

#SPJ2

<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.

In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.

Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:Answer is A

Step-by-step explanation:

just did it on khan academy

Answer:

$10.8

Step-by-step explanation:

Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8

Answer:

length= 52 feet,

width= 15 feet

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the length and the width of the rectangle bs L and W feet respectively.

L= 4W -8 -----(1)

Perimeter of rectangle= 2(length +width)

2(L +W)= 134

Divide both sides by 2:

L +W= 67 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]

Substitute (1) into (2):

4W -8 +W= 67

5W -8= 66

5W= 67 +8

5W= 75

W= 75 ÷5

W= 15

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]

Substitute W= 15 into (1):

L= 4(15) -8

L= 60 -8

L= 52

[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]

Thus, the rectangle's length is 52 feet, and its width is 15 feet.

Answer:

that would be A. 360.

Step-by-step explanation:

when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.

Answer:

(b) is inverse while (a) is not inverse.

Step-by-step explanation:

we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

Answer:

Step-by-step explanation:

The expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

32 divided by 10 equals 3.2.

Next, perform the second division which is 8 divided by 2 which equals 4.

Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4

= -0.8.

Finally, subtract 3 from the -0.8.

-0.8 - 3

= -3.8.

Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

Answer:

money left= -50•games played + 47.50

The area of the kite is the amount of space it occupies

The area of the assumed kite is 25 square units

The question is incomplete, as the dimensions of the kites are not given.

So, I will provide a general explanation

The area of a kite is:

Area = 0.5pq

Where p and q are the lengths of the diagonals of the kite.

Assume that p = 5 and q = 10, for a kite.

The equation becomes

Area = 0.5 * 5 * 10

Evaluate

Area = 25

Hence, the area of the assumed kite is 25 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

-3.86

Step-by-step explanation:

Answer:

323

Step-by-step explanation:

.75 x   = 255

x = 255 / .75 = 340

340 * .95 = 323

Answer:

[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]

Step-by-step explanation:

Let the number be taken as 'x'.

Given,

Then,

1) [tex]75[/tex]% of x = [tex]255[/tex]

[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]

2) [tex]20[/tex]% of x = [tex]68[/tex]

[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]

We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .

Now,

3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]

[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

hello, i am not sure. but the answer is between a and c

Step-by-step explanation:

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here~}[/tex]

The right is answer the left is explanation

Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !

Answer:

C) 50°

Step-by-step explanation:

[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]

[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]

[tex]\implies m\angle BEC= 50\degree[/tex]

Answer:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

20% = .2

multiply 25 by .2 and you get 5 so $5 is the tip amount

Answer:

x-1

Step-by-step explanation:

f(x) = x+1

g[f(x)] = x

g[x+1]=x

g(x)=x-1

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

Answer:

780.54-455=425.54

Step-by-step explanation:

425.54+1570.85+12.60+9.50=2018.49

Answer:

6

Range is calculated by substracting smallest value but highest value.

Please give brainliest.

Answer:

the center is (-2,4) and the raduis is 3

Step-by-step explanation:

For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).

And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.

I hoped this helped, would appreciate if you marked brainliest!

a is the answer because it makes sense and it's very logical

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]

[tex]\sf \rightarrow -3[/tex]

equation:

[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]

[tex]\hookrightarrow \sf y = -3x+21[/tex]

the y-intercept of this function:

[tex]\hookrightarrow \sf y = -3(0)+21[/tex]

[tex]\hookrightarrow \sf y =21[/tex]

distance between both y-intercept :

Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

Answer:

  √89

Step-by-step explanation:

The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...

  c² = a² +b²

  c² = 5² +8² = 25 +64 = 89

  c = √89 . . . . the length of the third side

Answer:[tex]\sqrt{89}[/tex]

Step-by-step explanation:

opposite=8

Adjacent=5

Hypotenuse= ?

Using pythagoras theorem,

[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]

[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]

[tex]Hyp^{2}[/tex]=64 +25

[tex]Hyp^{2} =89[/tex]

Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse

Hyp=[tex]\sqrt{89}[/tex]

Answer:

Rate is 8.5%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs8800

Rate(r)=?

Time(t)=3.5 years

Interest=Rs2618

Step 2: Write the formula for calculating Simple interest

[tex]i = \frac{prt}{100} [/tex]

Step 3: Make r the subject of the equation

[tex]by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} [/tex]

Step 4: Find the value of r by substituting the values in step 1

[tex]r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5[/tex]

Hence, the rate is 8.5%