First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or 20⋅32in this example:20⋅32=640So the area of the rectangle is 640ft2.You may not know the area of a semicircle, but that's fine −we know the area of a circle, or πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by 2:So the area of a semicircle is πr22.The question asks for πto just be 3.14, so instead the equation is A=3.14r22The picture gives the diameter of the circle.To find the radius, or r, we divide the diameter by 2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2
Help please I beg of you if you can
Perimeter = Sum of all sides
3/8 +3/8 + 3/4 +3/4
2x3/8 + 2x3/4
3/4 + 3/2
3+6/4
9/4cm
Midpoint of the segment with the given endpoint (9,-8) and (10,9)
Answer:
[tex]\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)[/tex]
Step-by-step explanation:
let [tex](x_1,y_1)=(9,-8)[/tex]
let [tex](x_2,y_2)=(10,9)[/tex]
[tex]\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
[tex]\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )[/tex]
[tex]\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )[/tex]
a bag contains 10 yellow, 14 blue, 7 red, and 9 green. jack reaches in and grabs a marble, then without Jack replacing his marble, Anna reaches in and grabs a marble, what is the probability that Jack will not pull out a green marble
Answer:
9/29
Step-by-step explanation:
1. In a concert hall, the number of seats in each row increases as you move farther from the stage. There are
the first row, 38 seats in the second row, and 45 seats in the third row.
a) If this pattern continues, determine what type of sequence this represents. Then write a function rule in simplified
form that can be used to find the number of seats in the nth row. Be sure to use the correct notation you have
learned this unit. Show ALL work.
b) Use the rule to determine which row has 290 seats. Show ALL work.
According to the situation described, we have that:
a) The arithmetic sequence that gives the number of seats in the nth row is given by:
[tex]a_n = 24 + 7n[/tex]
b) The 38th row has 290 seats.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Item a:
The first row has 31 seats, the second has 38, the third has 45 and so on, hence:
It is an arithmetic sequence.The common difference is d = 7.The first term is [tex]a_1 = 31[/tex].Then, the rule is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 31 + 7(n - 1)[/tex]
[tex]a_n = 24 + 7n[/tex]
Item b:
This is the nth row, for which [tex]a_n = 290[/tex], hence:
[tex]a_n = 24 + 7n[/tex]
[tex]290 = 24 + 7n[/tex]
[tex]7n = 266[/tex]
[tex]n = \frac{266}{7}[/tex]
[tex]n = 38[/tex]
The 38th row has 290 seats.
You can learn more about arithmetic sequences at https://brainly.com/question/26366645
Snow fell from 6:30 a.m. to 11:00 a.m, accumulating at a constant rate. At 8:00 a.m., the snow was 8 inches deep. By 11:00 a.m., it was 20 inches deep.
How much snow fell each hour?
inches
How much snow was already on the ground at 6:30 a.m.?
inches
Complete the equation that describes the relationship between the depth of the snow in inches, S, and the elapsed time in hours, t.
Write your answer using whole numbers or decimals rounded to the nearest tenth
The first question answer is 4
BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
A fire department's longest ladder is 110 feet long, and the safety regulation states
that they can use it for rescues up to 100 feet off the ground. What is the maximum
safe angle of elevation for the rescue ladder?
Also can you guys draw a picture of the right triangle and show work
See the attached picture for the answer:
Answer:
The maximum angle they can use the ladder is 65.38º
Step-by-step explanation:
Sine law allows sinA/a = sin B/b = sin C/c
Reference the drawing attached
sin 90/110m = sinB/100m
1/110m = sinB/100
multiply both sides by 100
100/110 = sinB
divide each side by 10
10/11 = sinB
find inverse sin of both sides
sin^-1(10/11) = B
65.38º = B
What is the value of the expression 9 + (1/2) with a power of 4 • 48? A. 12 B. 15 C. 17 D. 18
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]9+(\frac{1}{2})^4\times48[/tex]
In order to find this, answer we use order of operations and solve.
[tex]9+(\frac{1}{2})^4\times48[/tex]
[tex]\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}[/tex]
[tex]9+\frac{1}{16} \times48[/tex]
[tex]\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3[/tex]
[tex]9+3[/tex]
[tex]9+3=12[/tex]
[tex]=12[/tex]
Which means your answer is option A or "12."
Hope this helps.
solve for x,y, and 15
Answer:
27
Step-by-step explanation:
x + y = 15 (gallons) (1)
0.25*x + 0.10 * y = 0.15 * 15 (2)
Multiply 100 on (2):
25x + 10y = 15
Divede by 5
5x + 2y = 3 (3)
From (1) y = 15 - x
so 5x + 10*(15 - x) = 15
5x + 150 - 10x = 15
-5x = 15 - 150 = -135
x = 135/5 = 27 (gallons)
Diego is 78 years old. Kendra is 32 years old. How many years until Diego's age is 2 times Kendra's age?
Answer:
39
Step-by-step explanation:
Because if you want to know how many years until you get there you would need to divide to find how many year until Diego turns 2 times her age because the opposite of multiplication is division since they said 2 times
Solve the proportion 4/5 = y/7 y=?
Hi!
I can help you with joy!
In order to solve a proportion, all you should do is cross-multiply:
Cross-multiplying is exactly what it sounds like.
In this case, we Multiply
4 times 7
5 times y
28=5y
Divide both sides by 5:
5.6
Hope it helps!
-Nature
Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6
Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.
Given in the question,
[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]
multiplying 7 on both sides,
[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]
Learn more about direct proportion here
https://brainly.com/question/28730073
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find the value of x ( SHOW YOUR WORK ) !!!
Kiara sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Kiara's smart phone and sees her fingerprints on the screen over
eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded
to the nearest millionth.
Probabilities are used to determine the chances of events
The probability the spy is able to unlock the smart phone on his first try is 0.00000001
How to determine the probabilityThe length of the password is given as:
L = 8
Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)
So, the number of possible password is:
[tex]n = 10^8[/tex]
The probability that the spy unlocks the phone is:
[tex]p =\frac 1n[/tex]
So, we have:
[tex]p = \frac 1{10^8}[/tex]
Simplify
[tex]p = 0.00000001[/tex]
Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001
Read more about probability at:
https://brainly.com/question/25870256
The length of two sides of the triangle measure 8.3 inches and 9 inches. What is a possible length of the third side in inches?
-6 + 3m + 2 - M + 8 simplified
Answer:
2(m+2)
Step-by-step explanation:
[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]
[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 2m + 4[/tex]
[tex] \\ [/tex]
[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]
PLEASE HELP WITH THIS MATH QUESTION
Answer:
4
Step-by-step explanation:
the amplitude is the distance from the crest to the trough of one wave
in this case, from 2 to -2
144ab – 108b2
Question 12 options:
36(4ab – 3b2)
36b(4a – 3b)
12b(12a – 9b)
36a(4b – 3b2)
Answer:
114ab-108b2=
collect like terms
114-108=6
divide by the coefficient of the number
b÷2=b
=6÷2=3
b=3
witch ratio is equivalent to 1:2 A. 9:18 B.24:12 C.7:14
Answer:
C
Step-by-step explanation:
Please help with these questions!
Answer:
please take a better picture, i can'r read it.
Step-by-step explanation:
For what value of θ is csc θ undefined? (100 Points!)
90°
270°
315°
360°
Help please
Answer:
360°
Step-by-step explanation:
csc Θ = 1/sin Θ
csc Θ is undefined for sin Θ = 0.
sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.
360° is coterminal with 0°
Answer: 360°
The value of θ is CSC θ undefined is 360°.
We have given that,
90°
270°
315°
360°
What is the ratio of cos theta?csc Θ = 1/sin Θ
csc Θ is undefined for sin Θ = 0.
sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.
360° is coterminal with 0°
The value of θ is CSC θ undefined is 360°.
To learn more about the coterminal angle visit:
https://brainly.com/question/23093580
#SPJ5
Find the value of the expression
cos^4 (π/8) + cos^4 (3π/ 8) + cos^4 (5π/8) + cos^4 (7π/8)
ASAP please!
Step-by-step explanation:
Given that:
cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}
[since, cos(180-theta) = -cos theta]
= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴
= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)
= 2cos⁴(π/8)+2cos⁴(3π/8)
= 2{cos⁴(π/8)+cos⁴(3π/8)}
= 2[{cos²(π/8)}²+{cos²(3π/8)}²]
= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]
[since, sin(90-theta) = cos theta]
= 2[{cos²(π/8)}²+{sin²(π/8)}²]
= 2[{sin²(π/8)}²+{cot²(π/8)}²]
= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]
[since, (a+b)²- 2ab = a²+b²]
= 2[1-2sin²(π/8)cot²(π/8)]
[since, (sin² theta +cot² theta) = 1]
= 2-2*2 sin²(π/8)cot²(π/8)
= 2-2² sin²(π/8)cos²(π/8)
= 2-{2 sin(π/8)cos(π/8)}²
= 2-{sin(2π/8)}²
[since, (sin²A = 2sin A cot A)]
= 2-{sin(π/4)}²
= 2-{sin(180/4)}²
= 2-(sin 45°)²
= 2-(1/√2)²
= 2-{(1*1)/√(2*2)}
= 2-(1/2)
= (2/1) - (1/2)
Take the LCM of the denominator i.e., 1 and 2 is 2.
= (2*2-1*1)/2
= (4-1)/2
= 3/2 Ans.
Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.
Please let me know if you have any other questions.
100 points, put nonsense, get reported. Susan wants to build a floor to put at the bottom of her tree house. She made the scale drawing below using a scale of 2.5 in = 3 ft. Enter the length Susan must use for the floor.
Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)
11 inches / 2.5 = 4.4
4.4 x 3 = 13.2 feet
Answer: 13.2 feet
Total 2.5in pairs
[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]
[tex]\\ \tt\hookrightarrow 4.4[/tex]
Now it is equal to 3ftSo length=4.4(3)=13.2ft
You need
1 1/4
cups of sugar to make 20 cookies
To make 12 cookies, you will need
cups of sugar.
What is the first step in evaluating the expression, 6 - ( 4/2 •5)^2
Answer:
-94
Step-by-step explanation:
BODMAS
START WITH THE BRACKET
[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]
[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]
Fill in the missing numbers
1,2,3,5,_,_,_
what is the scale factor of 5:20 and 15:60
Answer:
3:3 (3 for both)
Step-by-step explanation:
5 times 3 = 15
20 times 3 = 60
Find the value of x for which PQ II RS
Answer:
x=3/2
Step-by-step explanation:
[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]
[tex]36x-12=42x-21[/tex]
[tex]6x=9[/tex]
[tex]x=\cfrac{3}{2}[/tex]
Hope it helps! :)
A 50 inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 tumes as long as the first piece. If x represents the length of the first piece, find the length of all three pieces.
Answer:
x = 5
Step-by-step explanation:
Piece 1 has length 5 inches
Piece 2 has length 20 inches
Piece 3 has length 25 inches
total length:50 inches
Use A={1,5,6,7,8}and B={1,2,5,9} to find the set ANB
Answer:
AnB ={1,5)
Step-by-step explanation:
when choosing the intersection we pick the items or numbers of the same from each group
3/4 -2 1/2 please show step by step process
Answer:
-7/4 or -1 3/4
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
Does anyone know any anime websites
Answer:
try gogoanime.be or gogoanime.pe I use them.. they have ads but they are free.
Answer:
Try using animekisa or sugeanime