A circular lawn has an area of 1138 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle? Round your answer to one decimal place and use π = 3.14 π = 3.14
Answer:
[tex]r = 19.0\ ft[/tex]
Step-by-step explanation:
Given
[tex]Area = 1138ft^2[/tex]
[tex]\pi = 3.14[/tex]
Required
Determine the radius of the circle
The area is calculated using;
[tex]Area = \pi r^2[/tex]
Substitute for Area and π
[tex]1138 = 3.14 * r^2[/tex]
Make r the subject
[tex]r^2 = \frac{1138}{3.14}[/tex]
[tex]r^2 = 362.420382166[/tex]
[tex]r = \sqrt{362.420382166}[/tex]
[tex]r = 19.0373417831[/tex]
[tex]r = 19.0\ ft[/tex] --- Approximated
Arlene writes this problem:
827 divided by 1120
Which expressions represent Arlene's problem?
Select each correct answer.
it looks like its answers two, four, and five.
tell me how you did !
The expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
Options C, D, and E is the correct answer.
Given,
827 divided by 1120.
We need to see which expressions represent this.
How can we write division?We can write it as:
If a ÷ b
- a / b
- b ) a
Find the expression for 827 divided by 1120.
We can write it as:
827 ÷ 1120
827 / 1120
1120 ) 827
Thus the expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
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What 5 7/10 times -5/9
You can model 1/2÷1/6 on a number line. The red oval has a length of 1/6. How many ovals can you drag onto the number line from 0 to 1/2 without gaps or overlaps? What does this tell you?
Answer:
3the quotient is 3Step-by-step explanation:
You can fill in the space between 0 and 1/2 with 3 ovals that are of length 1/6.
This tells you that 1/2 ÷ 1/6 = 3.
calculate the volume of a tetrahedron of side 9cm
Answer:
85.9 cm^3
Step-by-step explanation:
The formula for the volume of a regular tetrahedron is a^3 / (6 sqrt2)
If we plug in 9 for a, we have
9^3 / (6 sqrt2) = 85.9 cm^3
The product of negative 4 and y increased by 11 is equivalent to -5
Answer:
Step-by-step explanation:
-4y+11=5
-4y = -6
y = 3/2
Answer:
Y=4
Step-by-step explanation:
-4y+11=-5
-4y= - 11-5
-4y= - 16
Divide by - 4
Y =4
if f(x)=x^2-5x and f(n)=-4 , then which of the following could be a value for n?
a. -5
b. -4
c. -1
d. 1
Solve using long division
The absolute value of -6 is 6.
True False
Answer:
True
Step-by-step explanation:
Sometimes referred to as a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both 12 and -12 is 12.
HOPE THIS HELPS!! (please give brainliest)
Answer:
true
Step-by-step explanation:
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does the situation represents additive inverse?
Answer:
answer
Step-by-step explanation:
Answer:
Yes, she runs 8 flights of stairs
The angles are supplementary. Write and solve an equation to find the value of x.
xº
40°
Answer:
x+40 = 180
x = 140
Step-by-step explanation:
Supplementary angles add to 180
x+40 = 180
Subtract 40 from each side
x+40-40 =180-40
x = 140
how do you solve 4/5= -2/9?
Answer:
False
Step-by-step explanation:
The left side 0.8 does not equal to the right side -0.22, which means the given statement is false. Thank you and have a good day. Judging by this question, I presume that you are doing homework or classwork, and I wish you good luck.
ii) p – (p – q) – q – (q – p)
Answer:
-q + p
Step-by-step explanation:
p - (p - q) - q - (q - p) = p - p + q -q - q + p
= 0 + 0 - q + p
= -q + p
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),
C’(–7, –3), and D’(–10, –3).
Which rule was used to translate the image?
T–4, 3(x, y)
T–4, 1(x, y)
T4, –1(x, y)
T4, –3(x, y)
Answer:
A. T–4, 3(x, y)
Step-by-step explanation:
We are given that the transformation changes the rectangle ABCD to the rectangle A'B'C'D'.
The changes in the co-ordinates are given by,
A = (-6,-2) = (-6,-2) + (-4,3) = (-10,1)
B = (-3,-2) = (-3,-2) + (-4,3) = (-7,-1)
C = (-3,-6) = (-3,-6) + (-4,3) = (-7,-3)
D = (-6,-6) = (-6,-6) + (-4,3) = (-10,-3)
So, we see that the rectangle ABCD is transformed by the co-ordinates (-4,3).
That is, it is translated 4 units to the left and 3 units upwards.
Thus, option A is correct.
The translation of the rectangle is 4 units to the left and 3 units up
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the rectangle be represented as ABCD
Now , the coordinates of the rectangle is
A ( -6 , -2 ) , B ( -3 , -2 ) , C (-3 , -6 ) and D ( -6 , -6 )
And , on translating the rectangle by 4 units to the left , we get
A ( -6 - 4 , -2 ) , B ( -3 - 4 , -2 ) , C (-3 - 4 , -6 ) and D ( -6 - 4 , -6 )
Now , translating the rectangle by 3 units up , we get
A' ( -10 , -2 + 3 ) , B' ( -7 , -2 + 3 ) , C' ( -7 , -6 + 3 ) and D' ( -10 , -6 + 3 )
On simplifying , we get
A' ( -10 , -1 ) , B' ( -7 , -1 ) , C' ( -7 , -3 ) and D' ( -10 , -3 )
Therefore , the translation is 4 units left and 3 units up
Hence , the translation of rectangle is solved
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A triangle has side lengths of (7.4b + 6.3c) centimeters, (1.1b + 8.7d) centimeters, and (3.5d + 2.1c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 17.1cd + 12bd 5.6d + 150 + 8.5b Submit Answer 9.8bd + 13.7bc + 5.6cd 12.2d + 8.5b + 8.40
Answer:
This might help you.....
A currency exchange will convert 1
United States dollar (USD) into 105.19
Japanese Yen (JPY).
a) Convert 250 USD into JPY
b) Convert 13148 JPY into USD
Answer: a) 26297.50 b) 124.992870045
Step-by-step explanation:
a) 105.19*250=26297.50
b) 13148/105.19= 124.992870045
help me plz
you will be a life saver
Answer:
2/7 , 7/13 ,5/9,10/11
Step-by-step explanation:
5/9 , 7/13 , 2/7, and 10/11
5/9 = 0.555
7/13≅ 0.54
2/7 ≅0.29
10/11=0.90
ascending order means from least to greatest:
2/7 , 7/13 ,5/9,10/11
For the word KANGAROOS, if a letter is selected at random, what is the probability
that it is a vowel?
Answer:
4/9 or 44.4%
Step-by-step explanation:
3y/5 = 15 the value of y is
Step-by-step explanation:
[tex] \frac{3y}{5} = 15[/tex]
[tex]3y = 15 \times 5[/tex]
[tex]3y = 75[/tex]
[tex]y = \frac{75}{3} [/tex]
[tex] \sf{y = 25}[/tex]
Hope it helps.. :)
Use the numbers shown to make the two equations true. Each number can be used only
once. Write the number in the appropriate box for each equation.
3
6
100
36
1,000
1,000,000
What is the soil type that is primarily found on the East Coast of the United States
Need ASAP
The answer is
Pedalfer
What is the missing pattern ?
Answer:
15
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
243 /81 =3
Rule is times 3
3 *3=9
9*3=27
27*3=81
81*3=243
the density of a certain material is such that it weighs 2 ounces per 6.5 millimeters of volume. Express the density in grams per fluid ounce
Answer: 258 grams per fluid ounces
Step-by-step explanation:
The density in grams per fluid ounce of the given material is 258.20 grams / fluid ounce.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Density is the ratio of mass and volume.
Density = 2 ounce ÷ 6.5 cubic milimeter
Since,
1 fluid ounce = 29.6 millimeter
1 ounce = 28.35 grams
So,
Density = (2×28.35)/(6.5×1/29.6)
Density = (2×28.35×29.6)/(6.5×1)
Density = 258.20 grams / fluid ounce
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The total cost after tax to repair Deborah’s computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
If and only if all work is shown and understandable then you will be marked brainliest. DO NOT answer if you don't know the answer that is stealing points and it will be reported, if you have a guess use the comment section.
Answer:
0.09 OR 9% is her tax
Step-by-step explanation:
Deborah has to pay 9% for tax. So is someone worked on her computer for two hours then she pays 9% on $120 worth of work. So her tax amount would be $10.800 and her total amount would be 10.8 +120 = $130.80.
During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $30 plus $10 per hour (including taxes). The total charge comes to $90. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?
Will ran the diagonal distance across a square field measuring 40 yards on beachside . James ran the diagonal distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance, and how much longer did he run?
Diagonal of will's square field is [tex]D_1=40 \ yards[/tex].
Diagonal of James's rectangular field :
[tex]D_2=\sqrt{35^2+25^2}\\\\D_2=\sqrt{1850}\ yards\\\\D_2=43.01\ yards[/tex]
James runs 3.01 yards more distance than will.
Therefore, James run a longer distance.
Hence, this is the required solution.
What is the solution to this epuation x+6=24
Answer: i think the answer is 18 ( please let me know if this answer is wrong ) !
using the diagram below classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, or none.
Answer:
a. ∠4 and ∠7 are consecutive interior angles
b. ∠2 and ∠11 are alternate exterior angles
c. ∠12 and ∠16 are corresponding angles
d. ∠8 and ∠13 are alternate interior angles
e. ∠11 and ∠15 are corresponding angles
f. ∠7 and ∠10 none
g. ∠1 and ∠14 are alternate exterior angles
h. ∠12 and ∠15 are consecutive interior angles
i. ∠6 and ∠7 none
j. ∠1 and ∠3 are corresponding angles
k. ∠12 and ∠16 are corresponding angles
l. ∠6 and ∠15 are alternate exterior angles
m. ∠5 and ∠10 are alternate interior angles
n. ∠8 and ∠14 are consecutive interior angles
Step-by-step explanation:
Corresponding angles are angles in similar corners of two lines that are crossed by a transversal
Alternate interior angles are angles formed on the inside but opposite sides of two lines crossed by a transversal
Alternate exterior angles are angles formed on the exterior or outer but opposite sides of two lines crossed by a transversal
Consecutive interior angles are angles on the interior part of the two lines crossed by a transversal and on the same side of the transversal
a. <4 and <7 = Consecutive interior
b. <2 and <11 = alternate exterior angles
c. <12 and <16 = corresponding angles
d. <8 and <13 = alternate interior angles
e. <11 and <15 = corresponding angles
f. <7 and <10 = none
g. <1 and <14 = alternate exterior angles
h. <12 and <15 = Consecutive interior
i. < 6 and <7 = none
j. <1 and <3 = corresponding angles
k. <12 and <16 = corresponding angles
l. <6 and <15 = alternate exterior angles
m. <5 and <10 = alternate interior angles
n. <8 and <14 = corresponding angles
First, we need to understand how angles found on parallel lines are paired and classified. An image showing the angle pairs have been attached below.
Corresponding angles pairs are indicated by the red color, orange color, and the blue colors because they occupy the same corner along the transversal line.Alternate interior angles are positioned opposite each other along the transversal line, but are inside the two parallel lines. They are the green angles.Alternate exterior angles are outside the parallel lines but lie opposite each other along the transversal. They are indicated by yellow.Consecutive angles lie opposite each other within the parallel lines. They are colored pink.Therefore, the angles given can be classified similarly using the image as:
a. <4 and <7 = Consecutive interior
b. <2 and <11 = alternate exterior angles
c. <12 and <16 = corresponding angles
d. <8 and <13 = alternate interior angles
e. <11 and <15 = corresponding angles
f. <7 and <10 = none
g. <1 and <14 = alternate exterior angles
h. <12 and <15 = Consecutive interior
i. < 6 and <7 = none
j. <1 and <3 = corresponding angles
k. <12 and <16 = corresponding angles
l. <6 and <15 = alternate exterior angles
m. <5 and <10 = alternate interior angles
n. <8 and <14 = corresponding angles
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Solve |x|= 10
please
Answer:
x=10, x= -10
Step-by-step explanation:
basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them
The solutions to the equation |x| = 10 are x = 10 and x = -10.
We have,
When x is positive:
If x is positive, the absolute value of x is equal to x itself.
x = 10.
When x is negative:
If x is negative, the absolute value of x is equal to the negation of x.
-x = 10.
To solve -x = 10, we multiply both sides by -1 to isolate x:
-x = 10
Multiply by -1:
x = -10
Therefore,
The solutions to the equation |x| = 10 are x = 10 and x = -10.
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State The Absolute value and the opposite of the number. -24, 8, 31, -17
24
8
31
17
absolute value with positive numbers are always positive if I remember correctly.
oooo and the opposite
24
-8
-31
and 17
