Answer:
4/27
Step-by-step explanation:
The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are
a^-x = (1/a)^x
and
a^(x/b) = b√a^x
Hence
9-3/2 · 82/3
= (1/9)^3/2 . 8^2/3
= √(1/9)³ . ∛8²
= (1/3)³ . 2²
= 1/27 . 4
= 4/27
The area of a square lawn is 169 yd2. What is the length of each side of the lawn?
Answer:
13 yd
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area.
s = √(169 yd²) = 13 yd
will give bianleast 10 ponits
Which equation can be used to find the answer?
A fence with four sections has a perimeter of 43 ft. Three of the sections have lengths of 8 ft, 12 ft, and 11 ft. What is the length of the fourth section?
x = 43 + 8 + 12 + 11
x + 8 + 12 + 11 = 43
x – 8 + 12 +11 = 43
x – 43 = 8 + 12 –11
Answer:
x + 8 + 12 + 11 = 43
Step-by-step explanation:
The perimeter is the length of the 4 sections of fencing.
If x represents the fourth section and the perimeter is 43, then
x + 8 + 12 + 11 = 43, that is
x + 31 = 43 ( subtract 31 from both sides )
x = 12
The length of the fourth section is 12 ft
If 0 lies in the quadrant IV. What can be the value of cos 0?
Answer:
Positive one
Step-by-step explanation:
The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.
Answer:
d) 3/5
Step-by-step explanation:
Factor completely: b^8+a^2b^4+1/4a^4
Answer:
(b^4+a^2/2)^2
Step-by-step explanation:
Question 2
The measures of two supplementary angles are in the ratio of 2: 3. Find the measurements of the two angles.
Question 3
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.
Answer:
1 ) m∠ 1 = 72°, m∠2 = 108°,
2 ) m∠ 1 = 22.5°, m∠2 = 67.5°
Step-by-step explanation:
Question 2 ) Assuming these are supplementary angles, we know that their measures form a linear pair that add to 180°;
let us assign these angles as 1, and 2 ⇒ m∠ 1 + m∠ 2 = 180,
with the given ratios 2 to 3, we can say x ⇒ one part of measure, so that ⇒ 2x + 3x = 180,
2x + 3x = 180 ⇒ combine like terms,
5x = 180 ⇒ divide either side by 5,
x = 36°
If this is so, m∠ 1 = 2x = 2 * ( 36 ) = 72°, and m∠ 2 = 3x = 3 * ( 36 ) = 108°;
Solution; m∠ 1 = 72°, m∠2 = 108°
Question 3 ) If it is known that two angles are complementary to one another, we can say their measures add to 90°;
let us one more, assign these angles as 1 and 2 ⇒ m∠ 1 + m∠ 2 = 180,
knowing that the measure of one angle is 3 times that of the other angle we can derive the ratio 1 : 3 in the manner smaller ∠ measure : bigger ∠ measure so that ⇒ x + 3x = 90,
x + 3x = 90 ⇒ combine like terms,
4x = 90 ⇒ divide either side by 4,
x = 22.5
If this is so, m∠ 1 = x = 1 * ( 22.5 ) = 22.5°, and m∠ 2 = 3x = 3 * ( 22.5 ) = 67.5°;
Solution; m∠ 1 = 22.5°, m∠2 = 67.5°
A line has an x-intercept of 3 and a y-intercept of 2. Determine the slope of a line parallel to this line.
Answer:
-2/3 = m
Step-by-step explanation:
Points on the given line are (3, 0) and (0, 2). Going from (0, 2) to (3, 0), the run is 3 and the rise is -2. Thus, the slope of the line connecting these two points is m = rise / run = -2/3 = m
Please help me with the question below!! PLEASEEEE
Answer:
32
Step-by-step explanation:
22 + 44 + 24 + 78 = 168
200 - 168 = 32
The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle
Answer:
45 , 135
Step-by-step explanation:
LET ONE ANGLE BE x AND OTHER ANGLE BE 45+2x
since they are supplementary angles ,
x+2x+45=180
3x = 180 -45
3x = 135
x = 135/3
x =45 degree
therefore measure of one angle = 45 degree and other angle angle = 2*45+45 = 90+45 = 135 degree
hope it helps
(05.01 LC)
Look at the figure shown below:
A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is e
Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.
Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle QPR Reflexive property of angles
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. (2x + 28):95 = Corresponding sides of similar triangles are in proportion
Which of the following can she use to complete statement 5? (1 point)
28:95
28:35
60:95
60:35
Answer:
28:35
Step-by-step explanation:
Since Rita is trying to prove that the two triangles are similar, she will be looking for corresponding sets of sides that have an equivalent ratio. Therefore, since for the big triangle she uses sides PQ and PR, the corresponding sides on the smaller triangle would be PS and PT, which have a ratio of 28:35. Hope this helps!
The statement is completed by 28 :35, the correct option is B.
What are Similar Triangles?Two triangles of the same shape are said to be similar when their corresponding sides are proportional.
The triangle RPQ
The length of PS is equal to 28
The length of SQ is equal to 2x
The length of PT is equal to 35
The length of TR is equal to 60
The triangles SPT and QPR are proved to be similar in Step 4 by the property that corresponding sides of similar triangles are in proportion.
(2x + 28):95 =28 :35
Therefore, the statement is completed by 28 :35, the correct option is B.
To know more about Similar Triangles
https://brainly.com/question/25882965
#SPJ2
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
43%
Step-by-step explanation:
Alan has read 80% of a book. He has 4 more pages to finish. How many pages are there in the book?
Answer:
20 pages
Step-by step:
4 pages = 20%
20(5)=100 so 4(5)= 100% of the book
4(5)= 20
the book has 20 pages.
Answer:
20 pages
Step-by-step explanation:
If 100%-80%=4 pages
then 20%=4 pages (multipy both sides by 5)
100%=20
20 pages
The table shows the number of tennis balls that can fit into a given number of cans each can holds the same number of balls fill in the missing value in the table
Step-by-step explanation:
i could have answer it if you have given the table too!
that's it ....
Answer:
5
Step-by-step explanation:
2 x 3 = 6
5 x 3 = 15
7 x 3 = 21
9 x 3 = 27
Show me how to solve this, please.
[tex](2.7 * 10^{-5}) / (9 * 10^{-6})[/tex]
Answer:
3
Step-by-step explanation:
2.7 * 10 ^-5 / 9 * 10 ^-6
First divide the numbers
2.7 / 9 = .3
Then divide the exponents
10^-5 / 10 ^ -6
When we divide exponents we subtract
10^(-5 - -6) = 10 ^1
.3 * 10 ^1
But scientific notation has a number between 1 and less than 10
Move the decimal 1 place to the left, so we subtract 1 from the exponent
3 * 10 ^ (1-1)
3 * 10 ^0
Write <, >, or = draw a quick picture if you need to.
Look at the attached picture
Hope it will help you.
Answer:
Answer is attached to the picture
hope this helps
brainliest appreciated
good luck! have a nice day!
there was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. to the second man he sold half of what he had left and half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first?
Answer:
17
Step-by-step explanation:
The total number of horses he had at first was 7 horses.
What are word problems?Word problems in mathematics involve careful understanding and they are those methods we use in solving real-life cases by using:
Basic arithmetic operations, Fractions, and/orAlgebraic expressions etc.From the given information:
Let the half of all his horses to the first man be x and half of a horse be yLet half of what is left to the second man be z and half of a horse be yLet half of what is left to the third man be a and half of a horse be y.Then, we can have the system of equations for the three cases to be:
[tex]\mathbf{\dfrac{1}{2}x + \dfrac{1}{2}y = 3 ---- (1)}[/tex]
Making (y) the subject and ignoring (x), we have:
[tex]\mathbf{y = \dfrac{3 - \dfrac{1}{2}}{\dfrac{1}{2}} = 5}[/tex]
y = 5
For the second man;
[tex]\mathbf{\dfrac{1}{2}z + \dfrac{1}{2}y = 3 ---- (2)}[/tex]
[tex]\mathbf{z= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]
z = 1
For the third man:
[tex]\mathbf{\dfrac{1}{2}a + \dfrac{1}{2}y = 3 ---- (2)}[/tex]
[tex]\mathbf{a= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]
a = 1
Thus, the total number of horses he had at first were:
= 5 + 1 + 1
= 7 horses
Learn more about word problems here:
https://brainly.com/question/13818690
Expand (a + 4)(a – 3) by using the FOIL method.
ASAP
At Saturday night's football game there were 18 less fans than half the fans at Friday night's game. There were "x" fans at Friday's game .
Write an expression to represent the number of fans at Saturday's game.
Answer:x-18
Step-by-step explanation:
Can I have brainlest
Answer:
x-18
Step-by-step explanation:
Which situation results in a final value of zero?
A. The overall change in temperature when the temperature goes from -10 degrees fahrenheit, to 10 degrees fahrenheit.
B. The total profit made from when a person buys an item for $2.25, and then sells the item for $2.25.
C. The overall change in altitude in a hot air balloon after rising 21 kilometers from sea level.
D. The total distance a person travels when he bikes 3.1 miles to school and the bikes 3.1 miles back home.
Answer:
B
Step-by-step explanation:
The profit made is equal to 2.25-2.25 which is 0.
The situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero. which is the correct answer would be an option (B).
What is the distance?Distance is defined as the product of speed and time.
As per option (A),
The overall change in temperature = 10 - (-10) = 20 degrees
As per option (B),
The profit made is equal to 2.25 - 2.25 = 0 which is zero.
As per option (C),
The overall change in altitude = 21 - 0 = 21 kilometers
As per option (D),
The total distance traveled by person = 3.1 + 3.1 = 6.2 miles
Thus, the situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero.
Hence, the correct answer would be option (B).
Learn more about distance here:
brainly.com/question/13269893
#SPJ3
Calculate the range for both sets of data:
Set A: 4.8, 8.2, 5.1, 10, 3.2, 2.8, 0.4
Set B: 3.6, 9.2, 6.7, 6.4, 5.9, 8
So the range of set A is 9.6
The range of set B is 5.6
Look at the attached picture
Hope it will help you
Good luck on your assignment
A cylindrical container contains some sand as shown below. How much more sand must be added for the container to be half full? Use 3.14 for pi.
785 cubic inches
392.5 cubic inches
235.5 cubic inches
157 cubic inches
Answer: 785 cubic inches
Step-by-step explanation:
2πR + 2πR is the equation.
2π(5)^2 + 2π(5)(10)
50π + 200π
250 (3.14)= 785 inches cubed
I strongly believe this answer is correct, hope it helps.
find the x to the nearest tenth
Answer:
It is 7.2 because if you imagine moving the 6 line in the other you can see the 9.2 is too long.
Step-by-step explanation:
Write a equation for the new circle obtained by translating the circle:
(x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up
Answer:
bruvulmuffin
Step-by-step explanation:
A park near Raphael’s home is shaped like a trapezoid.
To find its area, Raphael walked along the short base and measured it.
Then he walked at a right angle and measured the distance to the other side of the park.
Finally he measured the long distance of the base.
Use Raphael’s measurements shown below to find the area of the park.
Enter your answer in the box.
A trapezoid with short base one hundred forty-five yards, long base two hundred twenty-five yards, and height eighty yards.
Answer:
14800
Step-by-step explanation:
To find the area of a trapezoid you and the little base and the big base. then divide the answer by two. Then you multiply the answer you just got by the height.
Equation:
145+225=370
370/2=185
185*80=14800
Area of the park is 14800 square yards
What is Trapezoid?A quadrilateral with at least one pair of parallel sides is called Trapezoid
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Short base a = 145 yards
Long base b = 225 yards
Height h = 80 yards
Area of the park = [tex]\frac{a+b}{2}h[/tex]
Area of the park =[tex](\frac{145+225}{2})80[/tex] = 14800 square yards
Hence, the area of the park is 14800 square yards
Learn more about Trapezoid and Area here
https://brainly.com/question/12451654
#SPJ2
The diagram below shows the rectangle PLUM.
P
L
8
M
U
Find the area of rectangle PLUM.
Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM = [tex]\frac{36}{8}[/tex]
AM = 4.5 units
Area of PLM = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]
= [tex]\frac{1}{2}(ML)(AP)[/tex]
= [tex]\frac{1}{2}(8 + 4.5)(6)[/tex]
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
Answer: 75
Step-by-step explanation: Khan Academy
14 Explain why adding 10% GST and then applying a 10% discount does not give you the
pre-GST price.
15 Other countries around the world also have a GST. In Canada the GST is 5%, in New Zealand it is
15% and in Singapore it is 7%.
Explain how you could find the pre-GST price on items sold in each of these countries?
Answer:
7% because the gst price is sold in cheacb countys
Step-by-step explanation:
because me got big brain
Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
3 (4 minus y) minus 7; 5 + 3 y
9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7
5 + y minus 2 minus 6 y + y; 8 y + 3
2 y + 7 + y minus 2 + y; 4 y + 5
Answer:
The Answer is D
Step-by-step explanation:
just took the quiz :p
Answer:
I believe the answer is D!
Step-by-step explanation:
I hope this helps ^w^
please help i will give brainliest, thanks and more points
THESE QUESTIONS ARE FOR THE SHAPE IN THE PICTURE!
1) how many vertices does it have
2) how many total faces, including bases does it have
3) how many edges does this figure have
Answer:
Vertices: 10
Faces: 7
Edges: 15
Step-by-step explanation:
Answer:
1. 10
2. 7
3. 15
Step-by-step explanation:
find 2.5 divided by 0.05
A.5
B.50
C.500
D.5000
Answer:
Step-by-step explanation:
2.5/0.05 = 250/5 = 50
Answer:
2.5/0.05 = 250/5 = 50
Step-by-step explanation:
Please help with the last part I don't get ti
What value is equivalent to the product of 4sqrt(2) and 2 sqrt 6^ ?
Answer: 4
Step-by-step explanation:
[tex](\sqrt{x} )(\sqrt{2x} )[/tex]
Multiply the values under the root.
[tex]\sqrt{2x*x}\\\sqrt{2x^2}[/tex]
If you separate these into two roots, one of the x's will come out of the root.
[tex]x\sqrt{2}[/tex]