Answer:
First one that is rounded off near 100 is .29 and second one that is rounded off near 1000 is 8102
Step-by-step explanation:
Rounding the percent to the nearest ten and the second number to the nearest thousand gives the estimated answer is 2400.
To estimate the answer, we will round the percent to the nearest ten and the second number to the nearest thousand.
28% of 8102 can be approximated as follows:
Step 1: Round 28% to the nearest ten, which is 30%.
Step 2: Round 8102 to the nearest thousand, which is 8000.
Step 3: Calculate 30% of 8000.
30% of 8000 = 0.30 * 8000 = 2400.
Rounding to the nearest ten and thousand helps simplify calculations while still providing a reasonably accurate estimate. However, it's essential to remember that this is an approximation and might not be as precise as calculating the exact value. Rounding introduces some degree of error, but for quick estimations, it can be a useful technique.
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Find all the missing angle measures. Remember you cannot assume right angles of diameters. Also think about how many degrees are in a triangle. Given: PA and BD are tangents, mCR=18*, mAC=70*, mBE=130*, and mBR=80*. What are angles 1-15
.
this is answer ok? ok :) leleelellelelelelelelel
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
35 degrees
Step-by-step explanation:
In this situation we will be using opposite/hypotenuse, as that is what is shown to us through SohCahToa.
Since we are trying to find the angle we will need to use arcsin.
arcsin(31/54)
the angle is 35 degrees
Answer:
[tex]\approx35\textdegree[/tex]
Step-by-step explanation:
We need to find the given angle, and we are given the sides opposite to it and the hypotenuse. Therefore, we can use sine. Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in the numbers. The opposite side is 31 while the hypotenuse is 54.
[tex]\sin(\theta)=31/54\\\theta=\arcsin(31/54)\\\theta\approx35.03\approx35\textdegree[/tex]
(I forgot to mention this last time, but we can only do this because the triangle is a right triangle.)
simplify -5(3m2 + 7n2) + 8n2
Answer:
-15m² - 27n²Step-by-step explanation:
-5(3m² + 7n²) + 8n²
Expand brackets.
-15m² + -35n² + 8n²
Combine like terms.
-15m² + -27n²
Answer:
[tex]\boxed{\red{= - 3(5 {m}^{2} + 9 {n}^{2} )}}[/tex]
Step-by-step explanation:
[tex] - 5(3 {m}^{2} + 7 {n}^{2} ) + 8 {n}^{2} \\ - 15 {m}^{2} - 35 {n}^{2} + 8 {n}^{2} \\ = - 15 {m}^{2} - 27 {n}^{2} \\ = - 3(5 {m}^{2} + 9 {n}^{2} )[/tex]
Solve the equation below algebraically for the exact value of x. 6 − 23(x + 5) = 4x
Answer:
See below.
Step-by-step explanation:
6 - 23(x+5) = 4x
First, distribute.
6 - 23x - 115 = 4x
Reorder the terms.
6 - 115 - 23x = 4x
Subtract.
-109 -23x = 4x
Add 23x to both sides.
-109 = 27x
Divide by 27.
x = -109/27 (This cannot be simplified)
During a sale, a shop allows 20% discount off the marked price of clothing. What will a customer pay for a dress with a marked price of $30? * 1 point
Answer:
$24
Step-by-step explanation:
Let the full price of $30 be 100%.
If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:
[tex]P=100\%-20\%\\P=80\%[/tex]
80% of a marked price of $30 is:
[tex]80\%*\$30\\\$24[/tex]
A customer will pay $24.
The sum of exterior angles of a regular polygon are equal TRUE\FALSE
Answer:
The sum of exterior angles of a regular polygon are equal true that is equals to 360°
Step-by-step explanation:
i hope this will help you :)
Answer:
true
Step-by-step explanation:
The sum of exterior angles of a regular polygon are 360°
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
Use the diagram to find the indicated angle measures. m∠1 = degrees m∠2 = degrees m∠3 = degrees
Answer:
m∠1 = 131°
m∠2 = 49°
m∠3 = 112°
Step-by-step explanation:
We find the m∠2 using Vertical Angles Theorem
We find the m∠1 using Definition of a Line
We find the m∠3 also using Vertical Angles Theorem
What is the distance from the point (3,8) to the point (7,-6)?
Answer: Distance is 14.6
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (7 - 3) = 4[/tex]
[tex](y2-y1) = (-6 - 8) = -14[/tex]
add it all together
[tex](4)2 + (-14)2 = 16 + 196 = 212[/tex]
Square 212
[tex]\sqrt{212} =14.5602[/tex]
round to the nearest tenth
=14.6
PLEASE MARK BRAINLIEST
Answer: d=14.6
Step-by-step explanation:
√212=14.5602
round=14.6
Express 11/5 as a MIXED NUMBER?
Answer:
11 / 5 as a mixed number is 2 1/5
Hope this helps you
Answer:
2⅕
Step-by-step explanation:
5x2=10
1 left over 1/5
A movie theater has a seating capacity of 275. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1986, How many children, students, and adults attended? CHILDREN ATTENDED= ? STUDENTS ATTENDED= ? ADULTS ATTENDED=?
Answer:
Adults = 61
Students = 92
Children = 122
Step-by-step explanation:
a adults
x students
c children
a + c + x = 275
c / a = 2
5c + 7x + 12a = 1986
Simplify and solve the system.
a + 2a + x = 275
3a +x = 275
x = 275 - 3a. and c= 2a
The revenue equation can be written in terms of just one variable, a.
5(2a) + 7(275-3a) + 12a = 1986
Solve for a
a = 61
use it to find x and c.
c = 2a = 2 x 61 = 122
x = 275-a-c
x = 275 - 61-122
x = 92
Solve the equation by factoring:
x² – 5x = 14
a. x= -2 or 7
b. x= 2 and -7
C. X= -2 or -7
d. x = 2 or 7
Answer:
The two possible solutions are x = 7, or x = -2
which agree with answer a) in the list of options
Step-by-step explanation:
Start by moving all terms to one side of the equal sign, and then factoring out the constant term:
[tex]x^2-5x-14=0[/tex]
The constant term "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:
[tex]x^2-5x-14=0\\x^2-7\,x+2\,x-14=0\\x(x-7)+2(x-7)=0\\(x-7)\,(x+2) = 0[/tex]
Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:
( x - 7 ) = 0 which means x = 7
or
( x + 2 ) = 0 which means x = -2
So the two possible solutions are x = 7, or x = -2
Answer:
a. -2 or 7Step-by-step explanation:
[tex]x^2-5x=14\\\\x^2-5x-14=0\\\\x^2+2x-7x-14=0\\\\x(x+2)-7(x+2)=0\\\\(x+2)(x-7)=0\\\\x+2=0\quad\vee\quad x-7=0\\\\x=-2\quad\vee\quad x=7[/tex]
Which graph describes the relation (3,1),(-2,1),(0,2),(-2,0)
Answer:
b
Step-by-step explanation:
preform the operation and show work
Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
Increase £16470.45 by 3.5% Give your answer rounded to 2 DP pls help
Answer:
$17046.90
Step-by-step explanation:
Write out the equation for increase:
16470.45(1 + 0.035)
16470.45(1.035)
17046.90
What is the slope of the line? x+3y=10
Answer:
m = -1/3
Step-by-step explanation:
First, write the equation in slope-intercept form:
3y = 10 - x
y = 10/3 - x/3
y = 10/3 - 1/3x
Since our slope is the coefficient of the x term, our slope is -1/3.
Find the fourth term in the sequence defined by the following recursive formula.
t1 = 5
tn = 3tn-1 - 12
1) -75
O 2 3
3) -3
4) -21
Answer
Part 1
Step-by-step explanation:
T2=3(5)-12=3
T3=-3
T4=-21
T5=-75
Help I will make you a brainllest :)
Answer:
140
Step-by-step explanation:
Since m∠2 is 40°, then the m∠1 is also 40°. With that, ∠1 and ∠5 are supplementary, so we have 180 - 40 = 140°
Answer:
140
Step-by-step explanation:
done it before and had teacher show me answer sheet
Please answer this question in two minutes
Answer:
FGH and BCD
it's obvious.
no common lines between them
Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) A.) Sin(D)= 24/7 B.) Tan(D)= 24/25 C.) Cos(E)= 24/25 D.) Sin(E)= 7/24
Answer:
Cos E= 24/25
Step-by-step explanation:
Length of hypotenuse: 7^2+24^2=625. 625 square root=25
Thus, DE is 25.
Sin D= 24/25, so that is false.
Tan D= 24/7, so that is false.
Cos E= 24/25, so that is true
Sin E= 7/25, so that is false.
Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
what is the volume of a box that will hold exactly 567of these cubes with 1.3 inch side
Answer:
21 inch cube
Step-by-step explanation:
(1/3)(1/3)(1/3)=1/27 is the volume of the cube
the volume of the box : 567*(1/27)=567/27=21
please help i will give out brainliest
Answer: Pls brainliest this took forever, but was really fun :)
Step-by-step explanation:
Imagine you are looking at the structure from the front or the side. What would you see? If you want a detailed explanation on orthogonal drawings, just ask :)
Segment YB is x+3 units long and segment BW is 2x-9 units long. The diagonal YW is ___ units long.
Answer:
3*(x-2)
Step-by-step explanation:
You should notice that : YW=YB+BW
YB= x+3 BW= 2x-9YW= x+3+2x-9= 3x-6
= 3*(x-2)
If YB is x+3 units long and BW is 2x-9 then the length of YW will be 3(x-2) units long.
What is a parallelogram?A parallelogram is a shape in which opposite sides are parallel to each other.
How to find the length of the diagonal?From the figure we can see that the diagonal YW=YB+BW
YB=x+3
BW=2x-9
YW=x+3+2x-9
YW=3x-6
YW=3(x-2)
Hence the length of YW will be 3(x-2) if YB=x+3, BW=2x-9.
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what are the soultions of 3(x-4) (2x-3)= 0 check all
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
Please answer this question now in two minutes
Answer: mKLJ = 60ᴼ
Step-by-step explanation:
MLO and KLJ are vertical angles, which means their measures are congruent.
Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
Answer: about 5 hours and 3 min
Step-by-step explanation:
Answer:
about 8 hours and 7 minutes
Step-by-step explanation:
have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.
At a frozen yogurt shop, 7/25 of sales are chocolate, 0.09 of sales are mocha, 2/5 of sales are vanilla, and the rest are strawberry. What percent of sales is strawberry?
Answer:
22%.
Step-by-step explanation:
7/25 = 28%
0.09 = 9%
2/5 = 40%
29% + 9% + 40% = 78%
100% - 78% = 22%
And you have your answer. Hope this helped.
The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________. a. 838 b. 864 c. 752 d. 440
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
Answer:
b) 864 squares
Step-by-step explanation:
A(rectangle) = 512cm x 108cm = 55296 cm²
A(square) = 8cm x 8cm = 64 cm²
Ar/As = 55296cm²/64cm² = 864 squares
Which is equal to a rotation of 90°ccw?
A. 180°cw rotation about the origin
В. 270°cw rotation about the origin
C. 180ºccw rotation about the origin
D. 270ºccw rotation about the origin
Answer:
В. 270°cw rotation about the origin
Step-by-step explanation:
We can rotate a total of 360 degrees in a circular pattern.
If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.
So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.
So the correct option is B. -> 270°cw rotation about the origin.