Answer:
The equations that are true are
B
C
E
Step-by-step explanation:
A) States that 0 + 451 = 0, but that is not true because...
0 + 451 = 451
B) States that 130 + 210 = 210 + 130, and that is true because...
130 + 210 = 210 + 130
340 = 340
C) States that (127 + 80) + 250 = 127 + (80 + 250), and it is true because...
(127 + 80) + 250 = 127 + (80 + 250)
127 + 80 + 250 = 127 + 80 + 250
457 = 457
D) States that (123 + 57) + 180 = 153 + (87 + 180), but that is not true because...
(123 + 57) + 180 = 153 + (87 + 180)
123 + 57 + 180 = 153 + 87 + 180
360 = 420 (but this does not make sence)
E) States that 497 + 0 = 497, and it is true because...
497 + 0 = 497
497 = 497
Answer:
E is true, B is true, C is true,
The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.
Answer:
74%
Step-by-step explanation:
An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.
Answer:
37 - 22 = WC height
Step-by-step explanation:
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)
Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Bob earns $2900 per month. 15% of his salary is deducted for his car loan.
First, we need to calculate the deduction for the car:
Deduction= 2,900*0.15
Deduction= $435
Now, the monthly salary that remains for Bob:
Montlhy salary= 2,900 - 435
Monthly salary= $2,465
A wheel on Ravi's bicycle is 0.5m in diameter. Ravi races the bicycle for 47m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
29.9 times or approximately 30 times
Step-by-step explanation:
circumference=[tex]\pi d[/tex]
3.14×0.5
=1.57
so, 47/1.57
=29.9363057325
Item 9 Find the surface area of the cone with diameter d and slant height l. Round to the nearest tenth. d=12 cm l=85mm
Answer: [tex]160.28\ cm^2[/tex]
Step-by-step explanation:
Given
diameter of cone [tex]d=12\ cm[/tex]
radius is [tex]r=\frac{d}{2}=6\ cm[/tex]
The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]
The surface area of a cone is
[tex]\Rightarrow A=\pi rl[/tex]
Substitute the value
[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]
A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?
Answer:
y = 2x - 8Step-by-step explanation:
The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2[/tex]
y = mx + b ← slope intercept form
(8, 8) ⇒ x = 8, y = 8
so:
8 = 2·8 + b
b = - 8
The equation: y = 2x - 8
Evaluate the expression for
b = -6.
3b =
Answer:
-18
Step-by-step explanation:
Hope that helps
You do 3(-6) to get neg 18
Answer:
-18
Step-by-step explanation:
-6 x 3 = - 18.
classify the following triangle as acute obtuse or right
The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter. pls help
Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.
For the rhombus below, find the measure of 1, 2, 3, and 4.
Answer:
Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51
Step-by-step explanation:
A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.
Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.
Alt. interior angles are congruent so Angle 3=39.
In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.
[tex]39 + 90 + x = 180[/tex]
[tex]129 + x = 180[/tex]
[tex]x = 51[/tex]
so angle 4=51.
Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.
Rhombus also has angle bisectors to angle 1=angle 2.
Angle 2=51.
What is the value of x in the triangle?
Answer:
X is 28
Step-by-step explanation:
All angles in a triangle ad up to 180 degrees.
85 + 67=152
180-152=28.
Hope it helped.
Answer:
28
Step-by-step explanation:
All triangles equal 180.
85+67=152
180-152=28
Your answer is 28
Enter the equation of the circle described below.
Center (3, -2), radius = 5
Answer:
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
Step-by-step explanation:
The equation of the circle with center A=(a,b) and radius = r are:
[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]
When A=(3,-2) and radius=r=-5
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
Help me please will mark
Answer:
1. A = 64 cm²
2. A = 240 yd²
3. A = 220.5 cm²
4. A = 193.4 m²
Step-by-step explanation:
1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.
Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
2. We want to split this figure into a triangle and a rectangle.
Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.
For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.
Do this same thing to find the height of the triangle.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
3. We want to split this figure into a triangle and semicircle.
We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.
Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
4. We want to split this figure into a rectangle and semicircle.
For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.
Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.
Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
Answer:
4,n=4
Step-by-step explanation:
D=(n,-2) and E=(n,2)
the distance from D to E ,
√{(n-n)^2+(-2-2)^2}=√16=4
the co-ordinate of point C=(0,-2)
given,DC=DE
→√{(n-0)^2+(-2+2)^2}=√16
→n^2=16
therefore,n=4
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?
Reward:Brainliest
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
15:00 PM and 3:00 PM ,they mean the same exact thing
Step-by-step explanation:
please help i need the answer asap :) !!
Answer:
6^(2/3)
Step-by-step explanation:
exponent fraction rule
Answer:
the first one, 6^2/3
Step-by-step explanation:
Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.
IM CONFUSED PLEASE HELP
Answer:
the area would be 10 i
Step-by-step explanation:
reason being the base is 4 and the height is 5 the answer was right for me
what i has highlighted in the picture is the answer
add 4 1/7+5 3/7+2/7.
Answer:
9 6/7 is the answer
Erza's bill for breakfast at a Restaurant was $98.85 . he left a 20% tip. what was the total cost if his breakfast, including tip?
Answer:
Step-by-step explanation: first you have to divide to get your answer
98.85/20%= $494.25 is ur answer
determine the intercept line of y=-7x+3y=−7x+3
Answer:
3
Step-by-step explanation:
The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:
y = mx + b
Where m is the slope, b is the intercept, and y & x are two data points from the graph.
Choose the equation that could be used to solve for the missing side.
HELP ME PLZZZZZ!!
the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.
Matthew has been asked to determine the height of a tree. He measured the height from the ground to his eye and found that it was 5 feet. He used a protractor to measure the angle between the horizontal and his line of sight to the top of the tree. He found that angle to measure 70 degrees He also determined his distance from the tree and found that it measured 12 fect. Use the information to determine the height of the tree .
Answer:
Height of the tree is [tex]37.88[/tex] feet
Step-by-step explanation:
The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.
Height of the tree [tex]= 5 + X[/tex]
[tex]tan \Theta =[/tex] Perpendicular / Base
[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]
Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet
PLEASE HELP Vance is buying a new car for $23,084. If he is
trading in his old car for $9,567 to go towards
his new car, how much will he need to pay
for his new car?
Answer:
23,084-9,567= 13,517 so he will have to pay $13,517
.
Simplify the expression. (–5g5h6)2(g4h2)4
A. 25g26h20
B. –25g26h20
C. 25g15h14
Answer:
Step-by-step explanation:
(–5g^5 h^6)^2 × (g^4 h^2)^4 the ^ carot symbol means raised to power X
(25 g^10 h^12) × (g^16 h^8) exponents raised to powers MULTIPLY
-5² = 25 g^5² = g^10 h^6² = h^12 do the same thing with (g^4 h^2)^4
25 g^(10+16) h^(12+8) collecting terms powers ADD
25 g^26 h^20 Which letter is the answer?
Did you follow my explaination?
Answer:
B. –25g26h20
Step-by-step explanation:
The number of students enrolled at a college is 14,000and grows 4%each year
Answer:
so what exactly is the question? it's not complete yet, I guess..what do you want me to find?
all expressions equivalent to 6x+1-(3x-1)
Hellooo can someone help me :)
Step-by-step explanation:
You will need the hypotnuse. to find that use a squared plus b squared is c squared
Simplify the following expression:
[tex]7x^{5}y^{3}(x^{5} y^{5} )[/tex]