The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.
Rectangle: bh
Triangle: bh/2
A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.
What’s the square route of 169
Answer:
± 13
Step-by-step explanation:
[tex]\sqrt{169}[/tex] = ± 13, since
13 × 13 = 169 and - 13 × - 13 = 169
3.8×10⁵+4.25×10⁴+4.2×10⁵
The answer is 842500.
Compare the following functions to determine which has a greater rate of change.
• Image above •
A. Function 1 has the greater rate of change.
B. Function 2 has the greater rate of change.
C. Function 1 and Function 2 have the same rate of change.
D. Not enough information is provided to compare rates of change.
[tex]\text{Hello there!}\\\\\text{Lets see if the rate of change for the two functions are the same}\\\\\text{We know that the rate of change for the first function is -2/3}\\\text{Lets find the rate of change for the second function}\\\\\text{We will use}\,\,\frac{y2-y1}{x2-x1}\,\,\text{to find the rate of change}\\\\\text{Plug in the coordinates:}\\\\\frac{3-5}{3-0}\\\\\text{Solve:}\\\\\frac{3-5}{3-0}\\\\\frac{-2}{3} = \text{rate of change for function 2}\\[/tex]
[tex]\text{The rate of change is the same for both functions}\\\\\text{This means that:}\\\\\large\boxed{\text{Answer: C. Function 1 and Function 2 have the same rate of change.}}[/tex]
Of the eighth graders at the Paxson School, 7 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and volleyball only, 1 played basketball and soccer only, 2 played volleyball and soccer only, and 2 played volleyball, basketball, and soccer. How many played one or more of the three sports?
Answer:
18
Step-by-step explanation:
There are
7 played basketball;10 played soccer;9 played volleyball;1 played only basketball and volleyball;1 played only basketball and soccer;2 played only volleyball and soccer;2 played basketball, volleyball and soccer.So,
3 played basketball and volleyball;3 played basketball and soccer;4 played volleyball and soccer;7 - 1 - 1 - 2 = 3 played only basketball;10 - 1 - 2 - 2 = 5 played only soccer;9 - 1 - 2 - 2 = 4 played only volleyball.Hence, 3 + 5 + 4 + 1 + 1 + 2 + 2 = 18 played one or more of the three sports
Answer: There are 18 players who played one or more of the three sports.
Step-by-step explanation:
Since we have given that
Number of students played basketball = 7
Number of students played volleyball = 9
Number of students played soccer = 10
Number of students played basketball and volleyball = 1
Number of students played volleyball and soccer = 2
Number of students played volleyball, basketball and soccer = 2
Number of students who played basketball only is given by
[tex]7-1-1-2=3[/tex]
Number of students who played volleyball only is given by
[tex]9-1-2-2\\\\=4[/tex]
Number of students who played soccer only is given by
[tex]10-1-2-2\\\\=5[/tex]
So, Number of students one or more of the three sports is given by
[tex]3+4+5+1+1+2+2\\\\=18[/tex]
Hence, there are 18 players who played one or more of the three sports.
For which function is the following always true?
Answer:
i think ur right or letter b butu not c
Step-by-step explanation:
An investment company pays 8% compounded semiannually.You want to have $19,000 in the future. (A) how much should you deposit now to have the amount 5 years from now
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&19000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]\bf 19000=P\left(1+\frac{0.08}{2}\right)^{2\cdot 5}\implies 19000=P(1.04)^{10} \\\\\\ \cfrac{19000}{1.04^{10}}=P\implies 12835.72\approx P[/tex]
To have $19,000 in 5 years with an 8% interest rate compounded semiannually, you should deposit approximately $12,840.72 now.
The question is about calculating the present value of an investment to reach a future sum of money with a given interest rate, compounded semiannually. To find out how much you should deposit now to have $19,000 in the future, we can use the formula for the present value of an investment for compound interest:
PV = FV / (1 + r/n)(nt)
FV = $19,000
r = 8% or 0.08
n = 2 (because interest is compounded semiannually)
t = 5 years
We can substitute these values into our formula:
PV = $19,000 / (1 + 0.08/2)(2*5)
Doing the math:
PV = $19,000 / (1 + 0.04)10
PV = $19,000 / 1.48024
PV = $12,840.72
So, you would need to deposit approximately $12,840.72 now in order to have $19,000 in 5 years, given an 8% interest rate compounded semiannually.
Multiplication is a faster way to do repeated
Answer:
Addition.
Step-by-step explanation:
Multiplication is a faster way to do repeated addition.
For example, lets say you would add 10 fifteen's together. Addition would make it:
15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15
= 30 + 30 + 30 + 30 + 30
= 60 + 60 + 30
= 120 + 30
= 150
However, when multiplying:
15 x 10 = 150
As you can tell, multiplication makes it so there are less steps, and is less time consuming.
~
Answer:
Additions.
Step-by-step explanation:
Multiplication is equivalent to repeated additions and is faster, especially if the numbers are large.
A simple example is 2 * 3 = 2 + 2 + 2.
If m arc ST = 96°, then m∠Q = ________.
m∠R
m∠S
m∠T
m∠W
Answer:
m∠R
Step-by-step explanation:
Q is the inscribed angle formed by the interception of segments TQ and SQ
R is the inscribed angle formed by the interception of segments TR and SR
The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle; then, both angles Q and R are half of the central angle and equal between them. Therefore, the angle does not change as its vertex is moved to different positions on the circle.
How many times 5/9 is greater then 4/15?
Final answer:
To determine how many times 5/9 is greater than 4/15, we find a common denominator and compare the equivalent fractions. The fraction 5/9 is approximately 2.0833 times greater than 4/15.
Explanation:
The question is asking to find out how many times 5/9 is greater than 4/15. To compare these two fractions, we must find a common denominator or convert them to decimal form for easier comparison.
To find a common denominator, we can multiply the denominators 9 and 15 to get 135. Converting 5/9 to a fraction with 135 as the denominator, we get 75/135. Converting 4/15 to a fraction with 135 as the denominator, we get 36/135. Now, we compare the numerators 75 and 36, and we see that 75 is greater than 36.
Therefore, to find out how many times 5/9 is greater than 4/15, we divide 75 by 36, which gives us approximately 2.0833. Thus, 5/9 is about 2.0833 times greater than 4/15.
What are the prime numbers for 8 an 9
Answer neither 8 nor 9 are prime!!!
Solve the following equation.
4 + 2y = 9+ 2y
A. 4
B. -4
C. infinitely many solutions
D. no solution
Answer:
D no solution
Step-by-step explanation:
4 + 2y = 9 + 2y
-2y -2y
4=9
Which represents the solution to the absolute value equation 5[2x-4] +1 =11
The solution to the absolute value equation 5[2x-4] + 1 = 11 is the solution set {1, 3}.
To solve the absolute value equation 5[2x-4] + 1 = 11, we first isolate the absolute value expression by subtracting 1 from both sides of the equation, resulting in 5[2x-4] = 10. Then we divide both sides by 5, yielding |2x - 4| = 2. Next, we consider the two cases where 2x - 4 equals 2 and where 2x - 4 equals -2.
For the first case, 2x - 4 = 2, we add 4 to both sides to get 2x = 6, and then divide by 2 to find that x = 3. For the second case, 2x - 4 = -2, we add 4 to both sides to get 2x = 2, and then divide by 2 to find that x = 1.
Thus, the solution set to the original equation is {1, 3}, and we can verify these solutions by substituting them back into the equation to check that they satisfy the initial condition.
Round 2.1349 to the nearest hundredth. Explain in your own words why you round the number the way you do. Use a number line to support your explanation.
Answer:
2.13
Step-by-step explanation:
because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0
When round a number to the nearest hundredth, digit in the thousandths place should be focused.
To round the number 2.1349 to the nearest hundredth, look at the digit in the thousandths place, which is 4 in this case.
When rounding to the nearest hundredth, consider the digit immediately to the right of the hundredth place, which is the digit in the thousandths place. In this case, 4 is less than 5.
1. Start with the number 2.1349 on a number line.
2. Look at the digit in the thousandths place (4). Since it's less than 5, we do not need to round up.
3. Therefore, 2.1349 rounded to the nearest hundredth is 2.13.
If it's 5 or greater, you round up; if it's less than 5, you leave the hundredths place unchanged. In this case, 4 is less than 5, so we round down to 2.13.
Learn more about Rounding off here:
https://brainly.com/question/13391706
#SPJ3
Identify the property in this equation: (7th Grade Math) 3 + [7 + (–4)] = (3 + 7) + (– 4)
Answer:
Associative Property
Step-by-step explanation:
The brackets moved, so it would be associative
Solve x2 + 6x + 7 = 0.
Answer:
x= -7/8
Step-by-step explanation:
8x + 7 = 0
8x + 7-7 = 0-7
8x=-7
8x/8x = -7/8
Answer:
no solution
Step-by-step explanation:
use the box method to find out the factors
| 7
x^2 |
the top left and top right must multiply to 7x^2 and add up to 6x.
7 is multiplied together by 7 and 1, but only 7 and -1 can add up to 6x, so therefore there is no solution to this equation
another way is the quadratic equation
for an equation in form ax^2 +bx + c,
the quadratic equation states x = (-b + square root(b^2-4ac))/2a
in this case : x = -6 + (6^2 -28)^1/2 = -6+ (some negative root that doesn't exist)
so x = no solution
Find the measurements of
For x -
180 = 4x + 6 + 11x - 6
180 = 15x
[tex]\frac{180}{15}[/tex] = x
x = 12
For m∠ABD -
4(12) + 6
48 + 6
m∠ABD = 54
For m∠DBC -
11(12) - 6
132 - 6
m∠DBC = 126
Answer:
x = 12° ; m∠ABD= 54° ; m∠DBC=126°
Step-by-step explanation:
∠ABD + ∠DBC = ∠ABC
Here ,
∠ABC is a straight line .
We know,
A straight angle is 180 degrees.
So,
∠ABD + ∠DBC = 180°
⇒(4x+6)° + (11x-6)° =180° [given]
⇒15x =180°
⇒x = (180/15)° [divide both sides by 15]
∴ x = 12°
Now,
∠ABD = (4x+6)° [given]
={(4 . 12) + 6 }°
=(48+6)°
=54°
And,
∠DBC = (11x-6)° [given]
={(11 .12)-6}°
=(132 - 6)°
=126°
Mary can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If they work together how long would it take them to clean the apartment
Answer:
2 hours and 44 mins
Step-by-step explanation:
Final answer:
Mary and her roommate can clean the apartment together in approximately 2.73 hours. This is calculated by adding their individual cleaning rates and then taking the reciprocal of the sum to find the total time.
Explanation:
The question asks how long it would take for Mary and her roommate to clean the apartment if they worked together. Mary can clean the apartment in 6 hours, which means in one hour, she can clean 1/6 of the apartment. Her roommate can clean the apartment in 5 hours, so in one hour, the roommate can clean 1/5 of the apartment. Working together, their combined cleaning rate per hour is 1/6 + 1/5. To find their combined rate, we get a common denominator, which is 30, so their rates become 5/30 and 6/30, respectively. Summing these, we get a combined rate of 11/30 of the apartment cleaned per hour. To find the amount of time it takes for them to clean the entire apartment together, we divide 1 by their combined rate, so 1 / (11/30) = 30/11 hours which is approximately 2.73 hours.
41pts! what is the factored form of this expression? x^2+9+16
A.) (x+3)^2
B.) (x+4)^2
C.) (x-4)(x+4)
D.) The expression cannot be factored
Answer:
d
Step-by-step explanation:
the expression cant be factored because there is no number that multiplies to get 16 but adds up to 9. ex; 8*2 is 16 but add to 10, 16 and 1 equals 17, and 4*4 is 16 but adds up to 8.
Answer:
your answer is d
Step-by-step explanation:
Which statement is true about the value of |-14|?
OF-14--14
o
141 <14
It is the distance between -14 and 0 on the number line.
It is the distance between -14 and 14 on the number line.
a line segment with points p(1 2) and q(4 3) is reflected across the line y=x. What are the new coordinates of the points of the line segment? Please show work!
Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale
Answer:
see explanation
Step-by-step explanation:
x = r cosΘ
y = r sinΘ
with r = 54 and Θ = 69°, thus
x = 54cos69° ≈ 19.4
y = 54sin69° ≈ 50.4
Thus (54, 69° ) as an ordered pair
= [tex]\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right][/tex]
Round to the nearest hundred 92,651
Answer:
Step-by-step explanation: ok, so you know how when you round, if the digit before the number your rounding is 1-4, then you round down, and if it is 5-9 you round up. So in this case, you round up, so the answer is
92700
I don't even know how to figure this out. I don't have a formula for this
Answer:
[tex]\sin\theta=\dfrac{15}{17}[/tex]
[tex]?=15[/tex]
Step-by-step explanation:
Use the trigonometry formula
[tex]\cos^2\theta+\sin^2\theta=1[/tex]
You are given that
[tex]\cos \theta=\dfrac{8}{17}[/tex]
Substitute into the first formula
[tex]\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}[/tex]
Angle [tex]\theta[/tex] is acute angle, then the sine of this angle is positive and
[tex]\sin\theta=\dfrac{15}{17}[/tex]
Solve & make sure to simplify the answer:
9x - 2x
Answer:
Step-by-step explanation:
Because they are like terms, you can just subtract them.
9 - 2 = 7
So:
9x - 2x = 7x
Let me know if you have any questions about this.
Answer:
9x-2x=7x that means 9-2=7
When parallel lines are cut by a transversal, why are same-side interior angles supplementary? Use the fact that a line parallel to the transversal can be drawn to form a parallelogram in your answer.
A because the sum of the measures of a pair of same-side interior angles is equal to one-fourth the number of degrees in a parallelogram
B because the sum of the measures of a pair of same-side interior angles is equal to one-half the number of degrees in a parallelogram
C because the sum of the measures of a pair of same-side interior angles is equal to the number of degrees in a parallelogram
D because the sum of the measures of a pair of same-side interior angles is equal to twice the number of degrees in a parallelogram
Answer:
Because the sum of the measures of a pair of same-side interior angles
is equal to one-half the number of degrees in a parallelogram ⇒ B
Step-by-step explanation:
* Lets explain how to solve the problem
- In a parallelogram every two opposite sides are parallel
- In a parallelogram every tow opposite angles are equal
∵ The parallelogram is a quadrilateral
∵ The sum of the measures of the interior angles in any quadrilateral
is 360°
∵ In parallelogram each two opposite angles are equal
∴ The sum of the measures of every two adjacent angles
equal 360° ÷ 2 = 180°
* Lets solve the problem
- When parallel lines are cut by a transversal
∵ It is a fact that the parallel lines and their transversal can form a
parallelogram
∵ The sum of the measures of the adjacent angles of the
parallelogram is 180°
∵ The sum of the measures of the supplementary angles is 180°
∴ The same side-interior angles are supplementary, because
they are two adjacent angles in a parallelogram
* Lets find the true statement
∵ The sum of the measures of every two adjacent interior angles
in the parallelogram = 360° ÷ 2 = 180°
∵ 180° is half the sum of the measures of interior angles in the
parallelogram
∴ Because the sum of the measures of a pair of same-side interior
angles is equal to one-half the number of degrees in a
parallelogram
how can you tell if a relation is a function
One way to tell if a relation is a function is by using something called the vertical line test. In other words, if we can draw a vertical that passes through more than one point on a graph, then the relation does not represent a function. Another way to tell if a relation represents a function is by looking at the X coordinates of each ordered pair. If any of the ordered pairs have the same X coordinate, then the relation is not a function.
What are the solutions to the nonlinear system of equations below? Check all that apply.
Answer: answer is D and F
Step-by-step explanation:
Sam is baking a batch of brownies. The recipe calls for 3/4 cup of milk. Sam is baking 1/4 of a batch. How much milk will he need to make the brownies?????
I failed it please tell me how to solve it
Answer:
3/16 cups
Step-by-step explanation:
Well, you see that 3/4 of a cup is 1 batch --->
3/4 cup : 1 batch
to get 1/4 of a batch, you can just multiply both sides of the ratio by 1/4
3/4 * 1/4 cups : 1 * 1/4 batches
3/16 cups : 1/4 batches
16 divided (2 + 6) =
Answer:
The answer is 2.
2 + 6 = 8, 16/8 = 2.
Use Order of Operations
to solve.
4 to the third power -(24 ÷6) +8
Answer:
55.75
Step-by-step explanation:
First you start by doing what is in the parenthesis. so we divide 6 by 24 which gets us 0.25. Then we follow the rest of PEMDAS. Addition is next so we add 8 to 0.25 to get 8.25. Now we finally get to the fun part. 4 to the third power which is 64, then we subtract 8.25 to get 55.75. Hope that helps.