What is the area of this triangle, in square yards?
a 14.84 yd2
b 22.26 yd2
c 30.24 yd2
d 44.52 yd2
Answers
25.2 ÷ 2 = 12.6
12.6 x 15.9 = 200.34 ft
3 ft = 1 yd
200.34 ÷ 3 = 66.78 yd
unless my math is wrong it should be 66.78 yd ?
Related Questions
Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heart rate decreased by 2/5, what was her heart rate immediately after she ran the mile?
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(Because 1 - 2/5 = 3/5)
So, 3/5 = 60, and we're trying to find 1.
So I would first divide both sides by 3.
3/5 = 60
/3 /3
1/5 = 20
Then multiply both sides by 5.
1/5 * 5 = 20 * 5
1 = 100
So her heart rate was 100 beats per minute immediately after she ran the mile.
The sum of a number and six is seven times the number
Which is a given translation of the sentence into an equation?
A. n=7n+6
B. 7(n+6)=n
C. n-6=7n
D. n+6=7n
Answers
The sum of a number and six is seven times the number.
The word "sum" means addition
The translation of this sentence into an equation is written as:
n + 6 = 7 x n
n + 6 = 7n
The correct option is Option D.
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a company needs boxes to hold a stack of 8.5 inch by 11 inch papers. if they would like the volume of the to be 500 cubic inches, what should the night of the box be? round to the nearest tenth
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function rule for (1,3),(2,24),(3,81),4,192)
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i hope this helps and have a wonderful day!!!
Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
Answers
A prime polynomial is a polynomial that can't be factored.
In order to check which polynomial is prime, we need to check which polynomials could be factored.
x^3 + 3x^2 – 2x – 6 can be factored as (x+3)(x^2-2)
x^3 – 2x^2 + 3x – 6 can be factored as (x-2)(x^2+3)
4x^4 + 4x^3 – 2x – 2 can be factored as 2(x+1)(2x^3-1)
2x^4 + x^3 – x + 2 can't be factored.
Therefore, 2x^4 + x^3 – x + 2 is a prime polynomial.
In this exercise we have to use the knowledge of prime polynomials to find what cannot be factored, so we have;
A) Can be factored.
B) Can be factored.
C) Can be factored.
D) Can't be factored.
Is a base form of a polynomial in other words is a polynomial that can't be factored.
So we have to:
A) [tex]x^3 + 3x^2 - 2x - 6 =(x+3)(x^2-2)[/tex]
B)[tex]x^3 - 2x^2 + 3x - 6=(x-2)(x^2+3)[/tex]
C)[tex]4x^4 + 4x^3- 2x - 2= 2(x+1)(2x^3-1)[/tex]
D)[tex]2x^4 + x^3 - x + 2[/tex]
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If d=rt and if r = 60 and t = 4 what does d equal
Answers
Eleni works out 15 fewer minutes on Tuesday than on Monday. She worked out 70 minutes on Tuesday.
Use the five-step problem-solving plan.
How many minutes did she work out on Monday?
Enter you answer in the box.
______min
Answers
We also know the value of Monday, let's make this variable "M", is 15 minutes longer than the value of Tuesday.
Using these variables and the information provided we can make the expression: M=T+15
M=70+15
M=85
This means Eleni worked for 85 minutes on Monday.
Hope this helps :)
Answer: 85 Minutes on Monday
Step-by-step explanation:
An architectural drawing of a building shows the elevation of the basement floor to be –12 feet. The elevation of the roof is 32 feet. What is the total distance from the roof to the basement floor?
Answers
44 is the answer.
The total distance from the roof to the basement floor in the architectural drawing is 44 feet, found by adding the basement's distance from ground level (12 feet) to the roof's elevation (32 feet).
Explanation:In the given scenario, we need to find the total distance from the basement to the roof. Given the elevation of the basement is -12 feet and the elevation of the roof is 32 feet, we simply need to add these two distances together. Since the basement is below ground level, its elevation is negative. Therefore, its distance from the ground level is 12 feet, not negative 12. We can treat this as an absolute value.
To calculate the total distance, we add the absolute value of -12 (which is 12) to 32, which gives us 44 feet. Thus, the total distance from the roof to the basement floor is 44 feet.
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A dance school allows a maximum of 15 students per class. If 112 students sign up for dance class,how many classes does the school need to offer to accommodate all the students
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Jason is standing on the ground and throws a ball vertically upward with an initial speed of 80 ft/sec. Its height after t seconds is given by h = 80t-16t^2
a) How high does the ball go?
b) How many seconds does it take to reach maximum height?
c) When does the ball hit the ground?
Answers
Using calculus,
the velocity equation will be the derivative of the h function that gives.
v=80-32t
At its highest point the velocity=0, so we set v=0 and solve for t.
0=80-32t
32t=80 t=2.5 seconds
the height at this point would be
h=80(2.5)-16(2.5)^2
h=200-16(6.25)=200-100=100
A) h=100ft
B) at t=2.5 seconds
The ball will take an additional 2.5 seconds to come back down. Therefore the total time for it to hit the ground would be
C) 5 seconds.
Which values of m and b will create a system of equations with no solution? Check all that apply.
y = mx + b
y = –2x +
m = –3 and b =
m = –2 and b =
m = 2 and b =
m = – and b =
m = –2 and b =
m = 3 and b =
Answers
THE ANSWER TO THIS PROBLEM IS B AND E
Which equation correctly applies the distributive property? −1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25 70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008) (0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2) −2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
Answers
Tito walked three more miles than Danielle. If Danielle walked 2 miles, how many miles did Tito walk?
Answers
Answer:
What you need to do, is take Tito's amount of miles, and and add it to Danielle's amount of miles, to get how many miles Tito walked. Which is 3+2=5 miles, so Tito walked 5 miles.
To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies. The expression below describes this situation.
22x+54.35
In this expression, what does the term 22x describe?
A. the amount she spends restocking her supplies
B. the total amount she spends money on restocking her supplies
C. the number of times she restocks her supplies
D. the amount she originally spends on supplies
Answers
Answer: B. the total amount she spends money on restocking her supplies
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies
22x+54.35
SO, the term 22x equals to $22 multiplied by the times she restocks the supplies. For example: if she restocks the supplies 5 times, the total amount will be:
22 (5)+ 54.35
So, the term 22x describes the total amount she spends money on restocking her supplies. option B
Tyson always likes to have at least $150 in his savings account. currently he has $800 in the account. if he withdraws $35 each week, after how many weeks will the amount in his savings account be less than $150?
Answers
Hence, Tyson will take [tex]19[/tex] weeks will the amount in his savings account is less than $[tex]150[/tex].
What are savings?
Savings refers to the money that a person has left over after they subtract their consumer spending from their disposable income over a given time period.
Savings, therefore, represents a net surplus of funds for an individual or household after all expenses and obligations have been paid.
Here given that,
Tyson always likes to have at least $[tex]150[/tex] in his savings account. currently, he has $[tex]800[/tex] in the account. if he withdraws $[tex]35[/tex] each week.
So, if we multiply [tex]35[/tex] with [tex]19[/tex] then it would be [tex]665[/tex]
i.e., [tex]35[/tex] × [tex]19=665[/tex]
= $[tex]135[/tex]
Which is less than $ [tex]150[/tex]
Hence, Tyson will take [tex]19[/tex] weeks will the amount in his savings account is less than $[tex]150[/tex].
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Mia is three years older than twice her sister Brooke's age. The sum of their ages is less than 30. What is the greatest age brook can be ?
Answers
As with most word problems, our "setup" should involve first giving a label to our unknowns. We don't know what Brooke's age is, so let's label that with the variable b. We know that Mia is three years older than twice Brooke's age, which, using our new variable, can be modeled with the expression m = 2b + 3, where the variable m represents Mia's age.
We're also given that the sum of their ages is less than 30, or, translated into an inequality:
[tex]m+b < 30[/tex]
We already know that m = 2b + 3 though, so we can rewrite everything in terms of Brooke's age, b:
[tex](2b + 3)+b < 30[/tex]
From there, simply solve for b and you'll have your upper limit.
Which is greater 9.1 or 9.099?
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bcuz 9.0 is less than 9.1 lol
Mark me as brainliest if i helped XD
:)
Select one of the factors of 3x^2 + 4x − 4.
A.) (x + 4)
B.) (3x + 2)
C.) (3x - 2)
D.) (x - 2)
I will disregard your answer if you do not explain the steps clear enough.
Answers
The correct answer is option C
Although, (3x -2) is not the complete factor of 3x^2 + 4x -4.
The complete factor is (3x - 2)(x + 2)
So when we look at the options, we can see that option C is the correct option.
I hope this helps~ Please let me know if you have additional questions about the answer.
Best of luck!
The requried factor of the given quadratic expression [tex]3x^2 + 4x - 4[/tex] is (3x-2). Option C is correct.
To find the factor of the quadratic expression [tex]3x^2 + 4x - 4[/tex], we need to identify two binomials that, when multiplied together, result in the given expression.
The expression is in the form of [tex]ax^2 + bx + c[/tex], where a = 3, b = 4, and c = -4.
To factor the quadratic expression, we look for two binomials of the form (mx + p) and (nx + q) such that:
(mn) = a (which is 3 in our case), and
(pq) = c (which is -4 in our case).
Now, we need to find the factors of 3 and -4:
Factors of 3: 1, 3
Factors of -4: 1, -1, 2, -2, 4, -4
Now, we need to find combinations of these factors such that their product is 3 (the coefficient of [tex]x^2[/tex]) and -4 (the constant term). The combination that works is:
3 * -1 = -3
So, the two binomials are (3x - 2) and (x + 2) because:
[tex](3x - 2) * (x + 2) = 3x^2 - 2x + 6x - 4\\ \ \ \ \ \ \ \ \ \ \ = 3x^2 + 4x - 4[/tex]
Therefore, the correct factor is C.) (3x - 2).
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Abebe is saving money from work and his Mom will give him an extra
1919
of whatever he saves. If Alejandro saves $23, how much will his mom give him?
$5.26
$2.56
$5.11
$6.52
Answers
Abebe's mom will give him ¼ of whatever he saves. If Abebe saves $23, his mom will give him 0.25 times $23, which is $5.75.
Explanation:The question asks how much money Abebe's mom will give him if she gives ¼ of whatever he saves, and he saves $23. To find out how much his mom will give him, we must calculate ¼ of $23.
If Abebe saves $23, and his Mom will give him an extra $19.19 of whatever he saves, you can calculate the total amount he will have as follows:
Total amount = Savings + Mom's extra contribution
= $23 + $19.19
= $42.19
Therefore, Abebe will have a total of $42.19. None of the provided options ($5.26, $2.56, $5.11, $6.52) match this amount. It seems there might be an error in the answer choices or the problem statement. Please double-check the values or context provided.
Step 1: Convert the fraction ¼ to a decimal by dividing the numerator (1) by the denominator (4), which is 0.25.
Step 2: Multiply the decimal equivalent of ¼ (0.25) by the amount saved by Abebe ($23).
Step 3: Perform the calculation: 0.25 × $23 = $5.75.
Therefore, Abebe's mom will give him $5.75.
Final answer:
Abebe's mom will give him 19% of $23, which is calculated by multiplying 0.19 by $23, resulting in $4.37.
Explanation:
The subject of the question is Mathematics, specifically it deals with a percentage problem that involves finding what fraction of an amount will be added to it. To find out how much money Abebe's mom will give him based on the extra 19% of whatever he saves, we simply need to calculate 19% of $23. The calculation is as follows:
Convert the percentage to a decimal: 19% = 0.19.
Multiply this decimal by the amount saved: 0.19 × $23 = $4.37.
Therefore, Abebe's mom will give him an additional $4.37.
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
Answers
-4<1
when you divide by a negative number your sign changes
4>-1
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
a store sells coffee for $34 per bag. if a bag contains 6 lbs, find the cost of coffee per pound
Answers
Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km left to bike. If Dina’s biking speed was 5 km/h, find Masha’s biking speed.
Answers
Answer:
4 km/hr
Step-by-step explanation:
Dina and Masha started out on a 10 km bike path at the same time.
Distance = 10 km
Dina’s biking speed was 5 km/h
Time taken by Dina is Distance / speed
So [tex]time (Dina) = \frac{10}{5} =2[/tex]
Time taken by Dina is 2 hours
Same time is taken by Masha but 2 km left
So distance covered by Masha in 2 hours is 10-2 = 8 km
We know speed = distance / time
[tex]speed of Masha = \frac{8}{2}=4[/tex]
Masha’s biking speed= 4km/hr
Sarah's garden is 11.72 m long. Round to the nearest tenth of a meter
Answers
Hope it helped! :)
What is the product in simplest form?
−5/12 ⋅ 8/13
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Ron is five years older than twice his cousins Pat's age. The sum of their ages is less than 35. What is the minimum age Pat can be?
A.) 7
B.) 8
C.) 9
D.) 10
Answers
r + p < 35
2p + 5 + p < 35
3p + 5 < 35
3p < 35 - 5
3p < 30
p < 30/3
p < 10.....Pat has to be less then 10
minimum age : 7
maximum age : 9
the coffee is stirred with a spoon. The spoon gets hot due to convection conduction or radiation?? will give brainiseest
Answers
In triangle QRS, QR = 2x + 5, RS = 3x - 1, and SQ = 5x. Solve for x.
Answers
To solve for x in triangle QRS, set up an equation using the given information. However, there is no unique solution for x.
Explanation:To solve for x in triangle QRS, we need to set up an equation using the given information. Firstly, observe that the sum of the lengths of the three sides of a triangle is equal to the perimeter of the triangle. So, we have (2x + 5) + (3x - 1) + (5x) = perimeter of QRS. Simplifying this, we get 10x + 4 = perimeter of QRS. Next, we need to consider the fact that the perimeter of a triangle is equal to the sum of the lengths of its sides. So, we can set up the equation 10x + 4 = QR + RS + SQ. Substituting the given lengths, we have 10x + 4 = (2x + 5) + (3x - 1) + (5x). Solving this equation will give us the value of x.
10x + 4 = 2x + 5 + 3x - 1 + 5x
10x + 4 = 10x + 4
When we simplify this, we see that both sides of the equation are equal. Therefore, x can take on any value and there is no unique solution for x in this case.
Factor. 3x(y−4)−2(y−4) Enter your answer in the box
Answers
The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is,
3x(y - 4) - 2(y - 4)
Now, Solve the expression as;
The expression is,
3x(y - 4) - 2(y - 4)
Take (y - 4) as common;
(y - 4) (3x - 2)
Thus, The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).
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3.695 to 4 name the place value to which each number was rounded
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an ice cream factory makes 200 quarts of ice cream in 10 hours . How many quarts could be made in 12 hours? what was that rate per day ?