Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem.
Brittany is painting a mural on one of the walls in her room. The mural is in a parallelogram-shaped frame. The area of the mural is 1056 in² and the base is 32 inches.
What is the height of the mural?
Enter your answer in the box.
[___] in
The area of the mural is 1056 in² and the base is 32 inches. We have to determine the height of the mural.
Area of parallelogram = [tex] b \times h [/tex]
where 'b' is the base and 'h' is the height.
1056 [tex] in^{2} [/tex] = 32 [tex] \times h [/tex]
[tex] h=\frac{1056}{32} [/tex] in
Therefore, the height of the mural is 33 inch.
The diameter was of four half circles are sides of a square with a side length of 7 cm.
Find the exact area of the shaded region in terms of pi. (Please show work)
Answer:
shaded area = 24.5π -49
Step-by-step explanation:
The area of a segment of a circle is given by the formula ...
A = 1/2r²(θ -sin(θ))
Here, the radius of the circle is (7 cm)/2 = 3.5 cm, and the angle of interest is π/2 radians.
There are 8 segments of this size in the shaded area, so we have ...
shaded area = 8(1/2)(3.5 cm)²(π/2 -sin(π/2))
shaded area = 24.5π -49
You sell lemonade for $2 per cup and orange juice for $3 per cup. You sell a total of 100 cups for $ 240. How many cups of lemonade and orange juice were sold ?
A formula is expressed as d=a(2+kt). Express k in terms of d, a and t
After taking core samples all over a cone-shaped mountain, you have determined that for every 1,000,000 yd3 there is about 2 lbs of gold to be mined. If the mountain has a base that is 2,000 yards wide and a height that is 3,000 yards tall, about how much gold is it expected to hold?
To find the expected amount of gold in the mountain, calculate the volume of the cone and multiply it by the gold density.
Explanation:To determine the amount of gold expected to be held in the mountain:
Calculate the volume of the cone using the formula V = (1/3)πr²h.
Convert the volume to cubic yards since the gold density is given in lbs per 1,000,000 yd³.
Multiply the volume by the gold density to find the total amount of gold expected in lbs.
What's 2x+3y=6 and x-3y=9?
The Running Shoe Company advertised that tbe would award a number of prizes equal to 1% of the total number of entries in a contest .They received 1,600 entries .How many prizes should they award?
The Running Shoe Company should award 16 prizes, as 1% of 1,600 entries is 16.
The student asked, "How many prizes should The Running Shoe Company award if they received 1,600 entries in a contest and they award a number of prizes equal to 1% of the total number of entries?"
To find the number of prizes, we need to calculate 1% of 1,600 entries.
Step 1: Convert the percentage to a decimal by dividing by 100. So, 1% becomes 0.01.
Step 2: Multiply the total number of entries by 0.01 to find 1% of it.
1,600 entries * 0.01 = 16 prizes
Therefore, The Running Shoe Company should award 16 prizes.
there were 170 people at the concert. If 85% of the seats were filled how many seats are in the auditorium
In order to compute for the number of seats available in the auditorium, you just have to divide the number of people at the concert with the percentage of its utilized capacity.
Solution:
170 people / 85% = 200 seats available in the auditorium
To check the answer:
200 seats x 85% = 170 people are in the concert
Deyonne made 25% more cookies than Cameron. They sold the cookies for $0.50 each. Let x represent the number of cookies Cameron made. Which of the following expressions represent possible revenue from the sales. Select all that apply.
.50[x+(x+.25x)]
.50(x+.25x)
.50(x+1.25x)
.50(.75x+x)
.50(1.75x)
.50(2.25x)
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A=
The measurement of angle A in the given cyclic quadrilaterals, is 135°
What is a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral.
Given that, a quadrilateral ABCD is inscribed in a circle, so this type of quadrilaterals are called cyclic quadrilaterals, m ∠ A = 3x+6 and m ∠ C = x+2
We need to find, m ∠ A,
We know that in cyclic quadrilaterals, the opposite angles are supplementary,
Therefore,
m ∠ A + m ∠ C = 180°
3x+6+x+2 = 180°
4x+8 = 180°
4x = 172°
x = 43°
Therefore,
m ∠ A = 3x+6
m ∠ A = 3(43)+6
m ∠ A = 135°
Hence, the measurement of angle A in the given cyclic quadrilaterals, is 135°
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You have $85 in your bank account. Each week you plan to deposit $7 from your allowance and $25 from your paycheck. The equation bequals85plus(25plus7)w gives the amount b in your account after w weeks. How many weeks from now will you have $275 in your bank account?
A spinner that has 4 equal parts that are the colors blue, green, red, and yellow. The spinner is spun 12 times. It lands on blue 1 time.
Part A) What is the experimental probability of the spinner landing on blue?
Part B) Compare the experimental and theoretical probabilities of the spinner landing on blue. If the probabilities are not close, explain a possible reason for the discrepancy.
Answer:
The experimental probability would be 1/12 and the theoretical probability would be 1/4. The probabilities were not close so a possible reason for the discrepancy would be the blue color on the spinner was slippery.
Step-by-step explanation:
So to start out you need to find out the experimental probability. If the spinner landed on blue 1 time out of 12 different times, you write that as a fraction of 1/12. So 1/12 is the experimental probability. It also asks for the theoretical probability. There are 4 parts of the spinner so 4 is the denominator, one of those possibilities is the one we want so 1 is the numerator, so the theoretical is 1/4. The probabilities were not close so a possible reason for the discrepancy would be the blue color on the spinner was slippery.
Just to tell you what theoretical and experimental probabilities mean is that the theoretical is the possible outcome before you do it. Experimental is where you judge your probability off of past events.
what is the sum of 5/10 and 5/100
human reproduction usually involves?
Human reproduction involves fertilization, gestation, birth, and parental care.
Explanation:Human reproduction involves the process of sexual reproduction, where a male and female contribute genetic material to produce offspring. This process includes several steps:
Fertilization: The fusion of an egg and a sperm to form a zygote.Gestation: The development of the embryo inside the female's womb.Birth: The delivery of the baby.Parental care: Taking care of the newborn to ensure its survival and growth.These steps are essential for the continuation of the human species.
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A parallelogram is symmetric with respect to either diagonal. true or false?
Not all parallelogram is symmetric with respect to either diagonal, therefore the answer is False.
A parallelogram is known as a quadrilateral (having four sides) with two pairs of parallel-lateral lines. A parallelogram has no line of symmetry but there are some exceptions to specific types of parallelograms. For example:
Rhombus is a special type of parallelogram and it has two lines of symmetry along its diagonals.A rectangle has two lines of symmetry going through the mid-point of the opposite sides.A square has four lines of symmetry with two lines going through the diagonal and two lines going through the opposite sides.Therefore, we can conclude that not all parallelogram is symmetric with respect to either diagonal.
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50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. Use the simulation data to find the probability. Round to the nearest percent.
find the value of this pronumeral
please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
The required expression is C. 8(a + 2c) and value of the expression when a = –5 and c = –1 is -56.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the expression is
8a + 16c.
To find the Factor form of the given expression by using GCF.
We have,
8a + 16c.
Factors of each term:
8a = 2 x 2 x 2 x a
16c = 2 x 2 x 2 x 2 x c
The common factors are 2, 2 and 2. then Taking out the greater common factor (GCF) in the given expression;
GCF = 8
The answer is C. 8(a + 2c)
when a = –5 and c = –1
Then;
8(a + 2c)
8(-5 + 2(-1)) = 8 (-7) = -56
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Could u help me with 8 and 10
find the measure of the missing angle in the triangle shown 49° 57°
Justin drank 1 liter of water during soccer practice. He drank 2000 milliliters of water during the soccer game. How many milliliters of water did he drink during the practice and the game?
What is the solution of the equation y=5x+50
Rubin is 5 years older than one third Terry’s age. Sheldon is three years younger than 2 times Rubin’s age. Define a variable and write an expression to represent Rubin’s age. Then find Rubin age and Sheldon age if Terry is 6 years old.
graph the quadratic function f(x)=−1/2x^2+7.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
GRAPH FOR BRAINLIEST
Answer:y=(0,7) x=(2,5)
Step-by-step explanation:
smart
State the geometric sequence both recursive and explicit formulas.
Answer:
recursive formula = [tex]a_{n} = a_{n-1}* r[/tex]
explicit formula: [tex]a_{n} = a_{1}*r^{n-1}[/tex]
Step-by-step explanation:
Thinking process:
Let a sequence be given as:
3 9 27 81
As can be observed from the sequence, the next number of the sequence is a multiple of 3, that is 9 is a multiple of 3. Similarly, 27 is 9 multiplied by 3
then, let the first term be a. the common multiplying factor will be r (in this case 3). Then the formula will be [tex]a_{n} = a_{n-1}*r[/tex]
In addition, the powers rule applies.
For instance:
9 = [tex]3^{2}[/tex]
27 = [tex]3^{3}[/tex]
81 = [tex]3^{4}[/tex]
Then the explicit formula will be [tex]a_{n} = a_{1}*r^{n-1}[/tex]
12t-2<-5t+36 solve for t
Answer:
t<38/17
t < 2 4 /17
Step-by-step explanation:
Add 5t to each side
12t+5t-2<-5t+5t+36
17t-2<+36
Add 2 to each side
17t-2+2<+36+2
17t <38
Divide by 17
17t/17 <38/17
t<38/17
t < 2 4 /17
I don’t know how to find the missing angles
What are the zeros of the quadratic function f(x)=8x^2-16x-15
Answer:
x=2.69,−0.69
exact :
4±√46/4
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters. What is the area of the cross section?
Round 2,406,251 to the nearest thousand.
A. 2,000,000
B. 2,406,000
C. 2,406,300
D. 2,407,000