Answer:
17.3
Step-by-step explanation:
area of paralellogram=base x height
height=sin(60) x 4= [tex]2\sqrt{3}[/tex]
area = 5 x [tex]2\sqrt{3}[/tex]
= [tex]10\sqrt{3}[/tex] = 17.3(to nearest tenth)
220,000 population grows 8%. What will population be in 7 years
Answer:
the population will be 1,540,000 in 7 yrs
Answer: 377041.34
Step-by-step explanation: if it is growing 8 percent then you will add 8 percent to 100 which will equal 108 percent
Plug that into a calculator with the starting number so it wil look like 108% 220,000 and if you do that seven times you will get the answer.
A pawn show purchase a DVD player for $12.00 and sold it to a customer for 40% more than the purchase price. The customer was charge 7.5% tax when the DVD player was sold. What was the total, including tax?
Answer:
$18.06
Step-by-step explanation:
The price the pawn shop charged for the DVD player was 40% more than what it paid, so was ...
$12.00 + $12.00 × 0.40 = $12.00×(1 +0.40) = $16.80
__
The tax on the purchase is this price multiplied by the tax rate:
tax = 0.075×$16.80 = $1.26
__
Then the total including tax is ...
$16.80 +1.26 = $18.06 . . . . . total cost of the DVD player
What is the equation of the circle?
Answer:
○ [tex]\displaystyle (x - 4)^2 + (y + 2)^2 = 25[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}[/tex]
Sinse we are dealing with length, we only desire the NON-NEGATIVE root.
Distanse Equation
[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}[/tex]
Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
In a bag there are six red marbles, four blue marbles, and eigint green marbles. What is the probability that you will draw a green marble? 1. 1/3 2. 4/9 3. 1/18 4. 4/5
Answer:4/9 We know, Probability = Favorable Outcome / Total Outcome
Here, Favorable Outcome (Number of Green Marbles) = 8
Total Outcome = 6 + 4 + 8 = 18
P = 8 /18 = 4/9
In short, Your Answer would be 4/9 or 0.44
Hope this helps!
Use the example above and determine the fraction of total interest owed. After the fifth month of a 12-month loan: the numerator is: {(n + ) + (n + ) + (n + ) + (n + ) + (n + )} = , and the denominator is: {(n) + (n + 1) + ... + (n + )} = . Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.
The fraction of total interest owed after the fifth month of a 12-month loan is 64.1%
How to determine the fraction of interest owed?From the question, we have the following parameters
The numerator is given as: {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)}The denominator is given as: {(n)+(n+1)+...+(n+11)}After the fifth month, the equation of the numerator is:
Numerator = (1+11)+(1+10)+(1+9)+(1+8)+(1+7)
Numerator = 50
The equation of the denominator is:
Denominator = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12
Denominator = 78
The fraction of total interest is then calculated using:
Fraction = Numerator/Denominator
This gives
Fraction = 50/78
Express as percentage
Fraction = 64.1%
Hence, the fraction of total interest owed after the fifth month of a 12-month loan is 64.1%
Read more about loan and interest at:
https://brainly.com/question/15301789
Which model represents this word problem? Tom read 12 pages of a book. There are 30 pages left to read. How many total pages are in the book?
Call the total amount of books TT - 30 = 12T = 30 + 12 = 42
Answer:
there are 42
Step-by-step explanation:
because 12 + 30 = 42 hope this helps =)
Find the lateral area of a waffle cone with a diameter of 4.6 in. and a slant height of 7.9 in. Give your answer in terms of ℼ .
Answer:
18.17 × pi in²
Step-by-step explanation:
there are many seemingly different formulas out there for this, but they are actually all the same and differ only by what values of the cone we know at the beginning (and the custodian values are converted into the values we need for the calculation).
do we know the base area and the height of the cone, or the radius and the height, or the base area and the slant height (the length of the "mantle" straight from the bottom to the top), ... ?
well, here we know the diameter (this means it is 2 times the radius) and the slant height.
this is one of the easiest exercises.
the formula for this case is
LA = pi × radius × slant height = pi × (4.6 / 2) × 7.9 =
= pi × 2.3 × 7.9 = 18.17 × pi in²
Which pair of values are NOT equal?
Answer:
[tex]\tan \theta ~~ \text{and}~~ \tan( \pi - \theta)[/tex]
Step-by-step explanation:
[tex]\textbf{A)}\\\\-\tan \dfrac{3 \pi}4 = - \tan\left(2 \times \dfrac{\pi}2 - \dfrac{\pi}4 \right) = - \left(- \tan \dfrac{ \pi}4 \right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{B)}\\\\\tan \left( \dfrac{5 \pi}4 \right) = \tan \left( 2 \times \dfrac{\pi}2 + \dfrac{\pi}4\right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\ \textbf{C)}\\\\\tan \dfrac{\pi}2= - \tan 90^{\circ} = \infty\\\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{D)}\\\\[/tex]
[tex]\tan ( \pi - \theta ) = - \tan \theta \neq \tan \theta\\\\\textbf{These pairs are not equal.}[/tex]
If x = 2 and y = 0, what is the value of xy.
Answer:
0
Step-by-step explanation:
xy means x×y
Anything multiplied by 0 is 0.
So 2×0 = 0
Hope this helped and brainliest please.
The functions q and r are defined as follows.
g(x) = -x-2
r (x) = 2x²-1
=
Find the value of r(g(2)).
Carlos hires a van it costs £120
Answer:
Step-by-step explanation:
The cost of hiring a car can be worked out using this rule. Cost = £80 + 50p per mile. 50p. = to.s per mile per mile. Carlos hires a car and drives 90 miles.
You spent 1/5 of your birthday money on 2 video games.If each video game cost the same amount.what fraction of your birthday money did each video game cost
Answer: 2/5
Step-by-step explanation: 1/5 divided by 2You do 1/5, then the 2 is a whole number so you have to always put a denominator under a whole number. The denominator will be 1.in this case you will do KCF or KFC KEEP, CHANGE FLIP.1/5 you will keep
you will CHANGE the division sign to multiplication, never change when it is multiplication.
1/5 X 1/2
You will FLIP 2/1 into 1/2. Now multiply numerator x numerator, denominator x denominator.
1/5 X 1/2= 2/5
Now you have gotten your answer but for the future, the numerator should never be greater than the denominator, if it is, divide.
what is [( 2+ 75.5) - 3] x 2
Simplify the expression.
149x
hope this is what your looking for
PLEASE HELP PLEASE PLEASE HELP
Answer:
D. Point D
Step-by-step explanation:
4.82 is close to 5 so D is right A and B are not even close. C is a little to close to 4.5 to be 4.82. But D looks like it could be 4.82 to though so D is right.
Question 2 of 10
If a basketball player missed 33 free throws out of 100, what fraction and
what percentage of free throws did the player make? Choose two answers.
12. m is inversely proportional to the square of (p-1) when p=4,m=5.
Find m when p = 6.
Taren has a box of 180 pencils. Each time he draws from the box, he replaces it. After 20 draws, Taren selects 8 white pencils, 2 blue pencils, and 10 green pencils.
Which value is an accurate prediction of the number of blue pencils inside Taren's box?
Answer:
b
Step-by-step explanation:
beacaause I know
Subtract the matrices.
What number fills in [?] ?
А
B
2 -9 8
-5 3 2
4 2-1
1 4 -8
-5 -3 7
7 -2 5
4 8 -4
-35-2
A-B =
7 -12 6
3 [?] 7
-12 -1 2
7 3-2
Answer:
[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]
Explanation:
[tex]\Longrightarrow \ \sf Give n \ A = \sf \bold{\begin{pmatrix}2&-9&8\\ 4&2&-1\\ -5&-3&7\\ 4&8&-4\end{pmatrix}}[/tex]
[tex]\Longrightarrow \ \sf Given \ B = \bold{\begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}}[/tex]
Solve:
[tex]\sf A - B = \begin{pmatrix}2&-9&8\\ \:4&2&-1\\ \:-5&-3&7\\ \:4&8&-4\end{pmatrix}- \begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}[/tex]
subtract the elements in matching positions
[tex]\sf A - B = \begin{pmatrix}2-\left(-5\right)&\left(-9\right)-3&8-2\\ 4-1&2-4&\left(-1\right)-\left(-8\right)\\ \left(-5\right)-7&\left(-3\right)-\left(-2\right)&7-5\\ 4-\left(-3\right)&8-5&\left(-4\right)-\left(-2\right)\end{pmatrix}[/tex]
Final Outcome
[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]
Are 1/2(6x - 2) and 3 - x equivalent?
I really need help!
Answer:
No
Step-by-step explanation:
So, you can use the distributive property.
1/2(6x)=3x
1/2(-2)=-1
It is 3x-1, not 3-x
giving brainliest! 5 (4m +2)
[tex]5(4m+2)\\\\=20m+10[/tex]
The growth of bacteria makes it necessary to time-date some food products so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product the number of bacteria present is given by f(t)=600e0.1t, where t is time in days and the value of f(t) is in millions. Find the number of bacteria present at each time. (a) 2 days (b) 3 days (c) 1 week
a) Substitute t = 2 into the formula
= 600e^0.1(2)
= 600e^0.2
= 732.84 million
Therefore, 732.84 million bacteria are present after 2 days
b) Substituting t = 4 days we get
= 600e^0.1(4)
= 600e0.4
= 895.09 million
Hence, 895.09 million bacteria are present after 4 days
c) 2 weeks = 14 days
Substituting t = 14 days we get
= 600e^0.1(14)
= 600e^0.4
= 2433.12 million
Thus, 2433.12 million bacteria are present after 2 weeks
how many calories of energy are in 165 g of bananas if there ae 100 c in 110 bananas
What is the interquartile range of this data 12, 16, 29, 24, 28, 32, 36, 40, 44, 48,
A 6
B 7
C 8
D 9
Answer: 6
Step-by-step explanation:
I believe it is 6
Find the area of a rectangle that measures 3 1/4 yd long and 2 1/2 yd wide???
Answer:
Area of rectangle = 65/8 yd²
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. In this case, we are given the length 3 1/4 yd and the width 2 1/2 yd wide. Therefore,
⇒ Area of rectangle = (L × B) = (3 1/4 × 2 1/2) yd²
It is suggested to convert the terms in the expression (3 1/4 × 2 1/2) to improper fraction. Therefore,
⇒ Area of rectangle = [(3 × 4) + 1]/4 × [(2 × 2) + 1]/2 yd²
⇒ Area of rectangle = [(12) + 1]/4 × [(4) + 1]/2 yd²
⇒ Area of rectangle = [13]/4 × [5]/2 yd²
⇒ Area of rectangle = 13/4 × 5/2 yd²
Simplify the expression on the right hand side to determine the area.
⇒ Area of rectangle = 65/8 yd²
Thus, the area of the rectangle is 65/8 yd².
NEED AN ANSWER NOW!!
Answer:
V = 8.5 cubic units
Step-by-step explanation:
[tex]2\frac{1}{8} =\frac{16+1}{8} =\frac{17}{8}[/tex]
[tex]V=4(\frac{17}{8} )=\frac{68}{8} =\frac{17}{2}= 8.5u^{3}[/tex]
Hope this helps
What is the difference in length between the longest meteor and the shortest meteor? (4 points)
Answer:
13 / 8 in
Step-by-step explanation:
Longest ( 1 7/8) - shortest ( 2/8) = 13/8 in
Find the least common denominator (LCD) 5/12 and 1/2
Answer:
12 is the lcd
Step-by-step explanation:
because 12x1=12
and 2x6=12
Answer:
12
Step-by-step explanation:
Both 12 and 2 have the factor of 2 in common. (2)(12)/12 gives us the least common LCM (least common multiple) of 12.
line h is parallel to line 0; ∠13 = ∠8 use the image of the protractor to find the angle measure of angle 1 then compute all the missing angle measure
Answer: Below
Step-by-step explanation:
Angles 1, 3, 5, 7 are 120 degrees.
Angles 4, 2, 8, 6 are 60 degrees.
angles 10, 12, 13, 15 are 70 degrees.
Angles 9, 11, 16, 14, are 110 degrees.
angle 17 is 50 degrees.
Sara and her friends go to a football game and get snacks from the concessions. She uses various pictures to show what they ordered. Which of the following expressions best represents their order
F. 4d + h + 2f
G. 4d + 2h + 2f
H. h + 2f + 5d
J. 2h + 4f + 3d
AABC is similar to ADEF. The measure of AC = 10, the measure of DE=8, the measure of BC = 6, and the measure of DF = 20.
Find the measures of AB and EF.
The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.
ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.
AC / DF = BC / EF = AB/DE
AC = 10
DF = 20
DE = 8
BC = 6
Hence,
10 / 20 = AB / 8
cross multiply
20AB = 80
AB = 80 / 20
AB = 4
Hence,
10 / 20 = 6 / EF
10EF = 120
EF = 120 / 10
EF = 12
learn more on similar triangle here: https://brainly.com/question/11943039