A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answer:
941.33 in^2.
Step-by-step explanation:
The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.
The radius = 1/2 * 26 = 13 in.
Total area = area of square + area of semicirccle
= 26^2 + 1/2 * 3.14 * 13^2
= 676 + 265.33
= 941.33 in^2.
45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. What percent of those who have a dog also have a cat
The percentage of the children that have dog or cat is = 57%
Calculation of percentage of childrenThe percentage of children that have a dog = 45%
The percentage of children that have a cat = 30%
The percentage of children that have dog and cat= 18%
Therefore the percentage of children that have dog or cat = (45 + 30) - 18
= 75 - 18
= 57%
Therefore, the percentage of the children that have dog or cat is = 57%
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The angles X, of a tree blowing from the vertical, are distributed
according to the probability distribution shown.
What is the probability that the tree's angle, from the vertical, will
be greater than 4 degrees?
0.1
0.7
0.9
1
Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, the bounds are a = 3 and b = 13, hence:
[tex]P(X > 4) = \frac{13 - 4}{13 - 3} = 0.9[/tex]
There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
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Answer:
There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
Step-by-step explanation:
just took the test :D
Kelly's monthly profit for selling candles is represented by the function P (x) = 7.5x - 200, where x represents the number of candles sold. Complete each table
Profit is selling price minus cost price, we assumed that the number of candles sold is 100, then the profit is $550
Note: The question is not complete
Cost and Selling priceGiven Data
From the expression we can see the followingcost per candle = $7.5Number of candles sold for the month = xTotal cost of candles purchased for the month = $200We have the expression
P (x) = 7.5x - 200
Assuming the number of candles sold is x = 100
P (100) = 7.5*100 - 200
P (100) = 750 - 200
P (100) = $550
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Leah drank
2 thirds of
liter of water Monday before going jogging. She drank
3
fourths
liter of water after her jog. How much water did Leah drink altogether? Write your answer as a mixed number. ( kinda got confused on this)
Answer:
17/12=1 5/12
Step-by-step explanation:
the addition of 2/3+3/4=17/12=~1 5/12
20 g of copper was heated from 25°C to 80°C. How much energy was used to heat Cu? (Specific heat capacity of Cu is 0.385 J/g °C)
114°
Explanation:
ΔE = mcΔT
ΔE = 5(0.38)(80 - 20)
ΔE = 1.9(60)
ΔE = 114°
Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many cats did Kim train?
1. Draw a model 2. Write an equation and solve.
2nd Question: How many more dogs than cats did Kim train?
1. Draw a model 2. Write an equation and solve.
Answer:
1. 7
2. 14
Step-by-step explanation:
Check the attachment.
billy took a 3/4 mile hike in the woods. if the stopped every 1/4 of a mile to drink from his water bottle, how many times did the top?
What number has 6 tens and 1
more one than tens?
Answer:
17
Step-by-step explanation:
If f(x)= 4x exponent 3 - 11x , what is the valueof f(5)?
Answer:
445
Step-by-step explanation:
4(5)^3-11(5)
500-55
445
Find the slope of a parallel line and the slope of a perpendicular line.
y=12x-1
Step-by-step explanation:
12x - y = 1
slope of m1 = - coefficient of x / coefficient of y
= - 12 / -1
= 12
# when it is parallel;
m1 = m2
12 = m2
# when it is perpendicular;
m1 * m2 = -1
12 * m2 = -1
m2 = -1 / 12
Of the 200 cows in the herd, five-eighths grazed in the field. The rest slept near the barn. How many grazed in the field and how many were sleeping near the barn?
Answer:
125 barn 75 sleeping
Step-by-step explanation:
5/8 of 200 cows
of means multiply
5/8 x 200 = 1000/8 = 125
125 cows grazing
200-125 = rest of cows
75 = rest of cows sleeping
A shop keeper sold 7 3/4 kg, 2 1/2 kg and 3 3/5 kg of sugar to three customers in a day. Find the total weight of sugar on that day?
Pls it is urgent
Answer:
13.85kg
Step-by-step explanation:
7 3/4=7.75
2 1/2=2.5
3 3/5=3.6
7.75+2.5+3.6
=13.85kg
HELP MEEEE PLEASEEE, SOMEONE...
Answer:
1/7 chance of happening
(Hi!, I hope you found this helpful. Please tell me if you disagree with my answer. Have a great day:)
If a gas tank and hold 25 gallons how many gallons does it contain when it is 2/5 full
2. Solve the inequality and graph the solution
V-6 ≥ 4
Answer:
V≥10
Step-by-step explanation:
V−6≥4
Add 6 to both sides.
V≥4+6
Add 4 and 6 to get 10.
V≥10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)
GIVEAWAY!! QUICK QUESTION!!!
Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!
Answer:
-2
Step-by-step explanation:
Given :
An example of a coefficient ⇒ '11' in 11kkSolving :
The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficientAnswer:
-2
Step-by-step explanation:
Given expression: -k - k
Combine like terms and simplify:
⇒ -k - k
⇒ -(k + k)
⇒ -(2k) = -2k
Determining the constant:
The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.
Thus, the cooeficient of -k−k is -2.
Write an equation for the line that passes through (−8.5,11) and (5,−2.5)
y = -x + 2.5
slope formula:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
find slope:
[tex]\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}[/tex]
[tex]\rightarrow \sf \dfrac{-13.5}{13.5}[/tex]
[tex]\rightarrow \sf -1[/tex]
equation formula:
[tex]\sf y_1-y = m(x_1-x)[/tex]
find equation:
[tex]\hookrightarrow \sf y-11=-1(x-(-8.5)[/tex]
[tex]\hookrightarrow \sf y-11=-x-8.5[/tex]
[tex]\hookrightarrow \sf y=-x-8.5+11[/tex]
[tex]\hookrightarrow \sf y=-x+2.5[/tex]
Slope:-
m=-2.5-11/5+8.5m=-13.5/13.5m=-1Equation in point slope form
y-11=-1(x+8.5)y-11=-x-8.5y=-x+2.5Would this improve my skills or just give me the answer
Step-by-step explanation:
Ummm i think you should try your best cause thats how you improve
Milan is drawing a triangle. One side has a length of 9 cm, and another side has a length of 6 units. What could be the length of the third side?
3 cm
7 cm
15 cm
18 cm
Answer: 7 cm
Step-by-step explanation:
Find the number that makes the ratio equivalent to 4:8.
:64
Answer:
4:8 = 32:64
Step-by-step explanation:
4:8 = x:64
256=8x
32 = x
BRAINLIEST? TY!
In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?
Answer:
B
Step-by-step explanation:
This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!
With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.
i dont know what to do for tis
Answer:
is this by any chance about simultaneous equations? If so,
Step-by-step explanation:
Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.
Step 2 is telling us to write equations with x and y.
For example,
7x + 5y = 12
7x - 2y = 9
This may not be accurate but it is an equation.
Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.
For step 5, im not really sure.
hope this helps though???
6+8 divided by 2 simplify the expression
Answer:
6+8 is 14 and 14/2 is 7.
Step-by-step explanation:
the answer is 7
anyone knows the answer?!
Answer:
The third option
Step-by-step explanation:
the lowest point on function 1 is -7
the lowest point on function 2 is -9
7. Which expressions represent the total area of the
large rectangle? Select all that apply.
A. 6(m+n
B. 6n + m
С. 6n + 6т
D. Omn
E. (n + m)6
Answer:
D.
Step-by-step explanation:
Not for sure sorry but i think its D or A so so sorry
The points P (4, 1) and Q (-2, 4) are
reflected in line y = 3. Find the co-ordinates
of P', the image of P and Q', the image of
Q.
Step-by-step explanation:
hope it will help you
thank you
Answer:
Step-by-step explanation:
The line y = 3 is a horizontal line.
In order for us to reflect these two points, we need to draw our horizontal line and graph those points on the coordinate plane. Then you count the number of points that your original coordinates are away from the horizontal line. Once you have got that down, you count the same number on the other side (over line) and then plot and label your new coordinates.*View the attached graph*
Hope this helps!
7. For a party, Allison orders 15 pizzas. Some of the pizzas are pepperoni and cheese and cost $11.50 each. The rest of the pizzas are deluxe and cost $15.25 each. The total cost for the pizzas including a $5 delivery charge is $200. How many of the pizzas are deluxe?
Answer:
6 deluxe pizzas
Step-by-step explanation:
200-5=195
195 is the total cost of pizzas
195=11.50x+15.25y
y=−0.75x+12.79
(the y intercept and slope are rounded)
x is reg. pizzas. y is deluxe
x+y=15
y=-x+15
if you plot both y=-x+15 and y=-0.75+12.79 you get coordinates that round to 9,6
9 pizzas
6 deluxe pizzas.
A vacant rectangular lot is being turned into a community vegetable garden with a uniform path around it. area of the lot is represented by 4x^2 40x - 44 where x is the width of the path in meters. Find the wisdom the path surrounding the garden.
By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.
How to Factorize an Expression?To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.
To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.
4x² - 44x + 4x - 44
(4x² - 44x) + (4x - 44)
4x(x - 11) + 4(x - 11)
(x - 11)(4x + 4) = 0
x = 11 or x = -4/4 = -1
The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.
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What is the area of the figure triangle sides 3, 4, 8
Answer:
Area of a triangle = (base x height) / 2
if the base is 3 and height is 4
Area = (3x4)/2 = 6 sq units
if the base is 4 and height is 8
Area = (4x8)/2 = 16 sq units
if base is 3 and height is 8
Area = (3x8)/2 = 12 sq units
