Answer: x / y
0 / 4
4 / 0
-10 / 6
Step-by-step explanation:
Answer:
x y
0 4
20 0
-10 6
Step-by-step explanation:
x + 5y = 20
5y = -x + 20
y = -1/5 x + 4
so
when x = 0,
y = -1/5 (0) + 4
y = 4
when y = 0 then
0 = -1/5 x + 4
-4 = -1/5 x
x = (-4) (-5)
x = 20
when y = 6 then
6 = -1/5 x + 4
2 = -1/5 x
x = 2 * (-5)
x = -10
RATE is a quadrilateral inscribed in the above circle with arc measures shown above. What is the measure of the smallest angle in RATE?
Answer:
The measure of the smallest angle is 77°
Step-by-step explanation:
* Lats study some facts about the circle
* In any circle; If the vertices of a quadrilateral lie on its
circumference then the quadrilateral is called a cyclic quadrilateral
- In any cyclic quadrilateral each two opposite angles are supplementary
that means their sum = 180°
* In any circle; if the vertex of an angle lies on the circumference
is called an inscribed angle
- The inscribed angle subtended by the opposite arc
- The measure of the inscribed angle = 1/2 the measure of
the subtended arc
* Now we can solve our question
∵ R , A , T , E all on the the circumference of the circle
∴ RATE is a cyclic quadrilateral
∵ Angle RAT is an inscribed angle subtended by arc RET
∵ The measure of arc RE = 121°
∵ The measure of arc ET = 51°
∴ The measure of arc RET = 121 + 51 = 172°
∵ m∠RAT = (1/2) measure of arc RET
∴ m∠RAT = (1/2) × 172 = 86°
∵ Angle ATE is an inscribed angle subtended by arc ARE
∵ The measure of arc AR = 85°
∵ The measure of arc RE = 121°
∴ The measure of arc ARE = 85 + 121 = 206°
∵ m∠ATE = (1/2) measure of arc ARE
∴ m∠ATE = (1/2) × 206 = 103°
* Now lets find the remainder angles by using cyclic quadrilateral
∵ RATE is a cyclic quadrilateral
∴ m∠RAT + m∠RET = 180°
∵ m∠RAT = 86°
∴ m∠RET = 180 - 86 = 94°
* Similar;
∵ RATE is a cyclic quadrilateral
∴ m∠ATE + m∠ARE = 180°
∵ m∠ATE = 103°
∴ m∠ARE = 180 - 103 = 77°
* The measure of the smallest angle is 77°
Answer:
77
Step-by-step explanation:
a fencing company charges $22 per foot to install a wood fence how much will it cost to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long
We need to first find the perimeter, so 2(20+38) = 116 feet
Next we multiply 116 by 22 to get $2552
Answer:
Cost to fence the rectangular pool = $2552
Step-by-step explanation:
To find the cost to fence the rectangular pool, we need to find the perimeter of the rectangular pool.
Given: length = 38 feet and wide = 20 feet
Perimeter of a rectangle = 2(length + width)
Now plug in the given values in the above formula, we get
Perimeter of the rectangle pool = 2 (38 + 20)
= 2(58)
= 116 feet
A fencing company charges $22 per foot to install a wood fence.
To fence 116 feet, we need to multiply $22 and 116.
Cost to fence the rectangular pool = $22*116 = $2552.
what expression represents five times the quotation of some number and ten
Answer: The correct answer is the one on the lower left.
Step-by-step explanation: You are looking for the equation that is five times the quotient of a number and 10.
Since it is five times the quotient, you are looking for an expression that has 5 outside of the parentheses, and a quotient means that there is division taking place. The only option that has 5 outside parentheses with division inside the parentheses is the lower left.
Answer: The answer is lower left: C. 5(z/10).
Step-by-step explanation:
Solve the following compound inequality. −2x + 11 > 31 or 7x − 4 ≥ 17 Select one: A. x < -11 or x ≥ 6 B. x < 5 or x ≥ 17 C. x ≥ 3 D. x < -10 or x ≥ 3
Answer: OPTION D
Step-by-step explanation:
Solve for x in each inequality given in the problem, as you can see below:
[tex]-2x+11>31[/tex]
[tex]-2x+11>31\\-2x>31-11\\-2x>20\\x<-10[/tex]
[tex]7x-4\geq17\\7x\geq17+4\\7x\geq21\\x\geq3[/tex]
Finally you must make the union of both solutions obtained above.
Then for the first inequality you have:
[tex]x<-10[/tex]
and for the second inequality you have:
[tex]x\geq3[/tex]
Therefore, the solution is:
[tex]x<-10\ or\ x\geq3[/tex]
Answer:
The correct answer option is D. x < -10 or x ≥ 3.
Step-by-step explanation:
We are given the following compound inequality and we are to solve it:
[tex]-2x + 11 > 31[/tex] or [tex]7x- 4 \geq 17[/tex]
Solving them to get:
[tex]-2x+11>31[/tex]
[tex]-2x>31-11[/tex]
[tex]-2x>20[/tex]
[tex]x<-\frac{20}{2}[/tex]
x < -10
[tex]7x-4\geq 17[/tex]
[tex]7x\geq 17+4[/tex]
[tex]x\geq \frac{21}{7}[/tex]
x ≥ 3
Therefore, the correct answer option is D. x < -10 or x ≥ 3.
Do the two parallelograms in the figure appear to be similar? Why or why no
There’s no figure with this post. How do you expect me to answer this question? That said, they are similar because they have a consistent scale factor for each side. Though they are similar, they are not congruent
What is the measure of angle axg
Could you post a picture of the problem please?
Answer:
180
Step-by-step explanation: 30 + 150 = 180
I don’t know how to take a picture on this and send it out for a question
Answer:
Where it says "add attachment" with the paper clip, select your picture from there. If you don't know how to do that, take a picture of it with your phone, email it to yourself, and download it on your computer. It should then be in a folder called "downloads" or something similar. Feel free to ask further questions if you're still stuck!
Step-by-step explanation:
if you could take a screenshot, take it and then use the paper clip to clip it to the question.
HELP
5,945 ÷ 612
A) 8 R378
B) 8 R449
C) 9 R437
D) 9 R396
The division of 5,945 by 612 yields a quotient of 9 with a remainder of 437, which corresponds to option C: 9 R437.
To solve the division problem 5,945 \/ 612, we'll use long division:
First, see how many times 612 fits into 5,945.
Starting from the left, 612 does not fit into 5. We extend it to 59, but 612 doesn't fit into 59 either.
When we take the first three digits, 612 fits into 594 exactly 0 times. So we take one more digit. 612 fits into 5,945 around 9 times because 612 * 9 = 5,508 which is less than 5,945.
Subtract 5,508 from 5,945 to get the remainder. 5,945 - 5,508 = 437.
The quotient is 9 with a remainder of 437, which matches option C: 9 R437.
Mia’s parents have a cylindrical oak tree stump that has a diameter of 3 feet and a height of 2 feet. How much does the stump weigh if average weight of oak is 59 pounds per cubic foot? Round to nearest tenth
To find the weight of a cylindrical oak tree stump with a diameter of 3 feet and a height of 2 feet, calculate its volume and multiply by the average weight of oak per cubic foot, resulting in approximately 834.1 pounds.
The question is asking us to calculate the weight of a cylindrical oak tree stump, given its dimensions and the average weight of oak per cubic foot. To do this, we will first find the volume of the stump and then multiply it by the average weight of oak to find the total weight.
Calculate the volume of the stump. The formula for the volume of a cylinder is πr²h, where π is a constant (approximately 3.14159), r is the radius of the base, and h is the height of the cylinder.The diameter of the stump is 3 feet, so the radius (r) is half of that, which is 1.5 feet.Substitute the values into the formula: V = π(1.5²)(2) = 3.14159 * 2.25 * 2 ≈ 14.137 cubic feet.Multiply the volume by the weight of oak per cubic foot: 14.137 cubic feet * 59 pounds/cubic foot = 834.083 pounds.Round to the nearest tenth, the stump weighs approximately 834.1 pounds.
help on it like solving
Answer:
48m^6
Step-by-step explanation:
=(6m^4 )(8m^2 )
The constants are multiplied and the exponents of same variables are added in polynomial multiplication.
=(6*8)(m^(4+2))
=48m^6
what is the probability that when rolled a die will come up with an odd number
Numbers on dice: 1,2,3,4,5,6= 6 numbers
Odd numbers: 1,3,5 = 3 number
P=3/6= 1/2
Please help me solve this problem
Answer:
22
Step-by-step explanation:
A possible value of b is 22, since [tex]\sqrt{b}[/tex] = 4.69.
Answer:
20.25 < b < 24.1
Step-by-step explanation:
Any number between these numbers can be a value for b.
Hope this helps! :)
Find the value of the angle x in the triangle below
Answer:53 degrees
Step-by-step explanation:if a triangle is 180 degrees in total and you are tying to find out how many more degrees you need to make 180 degrees you need to add 45+82=127 degrees then you will subtract 180-127=053 degrees
Your Welcome!
Answer: 53°
Here’s why,
A triangle is 180°
The two angles 82 and 45 need to be added:
82+45= 127
Then, subtract 180 and 127
180-127= 53
Francisco is making an effort to drink more water, and has set a goal of 2 liters per day. He wants to know the volume of the water bottle he takes to school each day. The water bottle has the dimensions shown in the diagram.
The Height of the water bottle is 20cm
The Radius of the water bottle is 4cm
Final answer:
Francisco's water bottle volume can be calculated using the volume formula for a cylinder. With the given height of 20 cm and radius of 4 cm, the volume comes out to approximately 1.005 liters.
Explanation:
Francisco wants to achieve his daily water intake goal of 2 liters and is curious about the volume of his water bottle with dimensions of a 20 cm height and 4 cm radius. To find the volume of a cylindrical object like a water bottle, we use the formula for the volume of a cylinder, V = πr2h, where V is the volume, r is the radius, and h is the height of the cylinder.
Substituting the given values into the formula:
V = π(4 cm)2(20 cm) = π(16 cm2)(20 cm) = 320π cm3
Since 1 liter is equivalent to 1,000 cubic centimeters (cm3), we convert the volume from cubic centimeters to liters:
V = 320π cm3 × (1 liter/1,000 cm3) ≈ 1.005 liters
Therefore, Francisco's water bottle has a volume of approximately 1.005 liters.
A rental car agency charges $ 220.00 per week plus $ 0.25 per mile to rent a car. How many miles can you travel in one week for $ 457.50 question mark
The correct answer is 950 miles because $457.50 - $220.00 = $237.50 and $237.50 divided by $0.25 = 950
Hope this helps.
If a car rental agency charges $220.00 per week and an additional $0.25 per mile, you could travel up to 950 miles in one week for a total cost of $457.50. The calculation was done by subtracting the base fee from the total budget and then dividing it by the cost per mile.
Explanation:The subject here is how to solve an algebraic problem involving the cost of car rental and the distance traveled. In this situation, the rental car agency charges a weekly rental fee of $220.00 and an additional $0.25 cost per mile driven. So to find out how many miles can be driven in a week for a total cost of $457.50, we'll need to perform a two-step calculation.
First, subtract the base fee from the total amount: $457.50 - $220.00 = $237.50. This is the total amount you have left for the mileage cost.
Second, divide this amount by the cost per mile. So, $237.50 / $0.25 = 950 miles. Therefore, for a total cost of $457.50, you could travel up to 950 miles in one week.
Learn more about Cost Per Mile Calculation here:https://brainly.com/question/2513267
#SPJ3
Tori examined the pattern of exponents in the table.
Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
[tex]6^{1}=6[/tex]
so
[tex]6^{-1} =\frac{1}{6^{1} }[/tex]
= 1/6
and
[tex]6^{2} = 36[/tex]
So,
[tex]6^{-2} = \frac{1}{6^{2} }[/tex]
=
[tex]\frac{1}{36}[/tex]
Answer: Its already done up but, in case your wondering if it is correct on
E d g e n u i t y, it is I did the test with that question and and use the answer above and it was correct.
PLZ HELP! I NEED AN A+ OR ILL GO TO SUMMER SCHOOL!!!!!!!
Answer:
31 35
Step-by-step explanation:
they are up to 8 the others barely have any points
Answer:
31-35
Step-by-step explanation:
It has 8 number of readings
is it rise over run or run over rise
I get it's most likely easy but I don't trust my brain.
rise over run
you can remember it doing the vertical over horizontal
Answer:
Step-by-step explanation:
It’s rise over run
Why are all equilateral triangles similar?
Answer:
They all have equal sides.
Step-by-step explanation:
All angles are 60◦, thus all corresponding angles are equal. Since all the sides are equal in each triangle, the ratio of corresponding sides will all be equal.
simplify (6^-2) (3^-3) (3*6)^4
Answer:
108
Step-by-step explanation:
Answer:
6^2 x 3
Step-by-step explanation:
Sample
What decimal is equivalent to 29/11
Answer:2.6363 so if you estimate it it is 2.64
Answer:
2.6̅3
Step-by-step explanation:
Everything is on this file, enjoy!!!
15yd=45ft show the work to solve problem
Answer:
15 yd = 45 ft because :
Step-by-step explanation:
You have to multiply the length by 3.
1 yd = 3 ft.
15 x 3 = 45.
Hope this helps,
Davinia.
what is a number increased by 15 is 38
Answer:
23
Step-by-step explanation:
Let n be the number
n+15 = 38
Subtract 15 from each side
n+15-15 = 38-15
n =23
The number is 23
Plz help!!!!!!!!!!!!
Answer: [tex]\bold{8\sqrt[5]{8} }[/tex]
Step-by-step explanation:
[tex]64^{\frac{3}{5}}\\\\=2^{6(\frac{3}{5})}\\\\=2^{\frac{18}{5}}\\\\=2^{\frac{15}{5}}\cdot 2^{\frac{3}{5}}\\\\=2^3\cdot \sqrt[5]{2^3} \\\\=\boxed{8\sqrt[5]{8} }[/tex]
What is the area of this irregular shape
➷ Find the area of the rectangle first:
Area of rectangle = length x width
Substitute the values in:
Area = 8 x 16
Area = 128
Now find the area of the triangle:
Area = (b x h)/2
Area = (1.5 x 6) / 2
Area = 4.5
As there are two right triangles, multiply this value by 2
4.5 x 2 = 9
Add this value to the area of the rectangle:
128 + 9 = 137
The area is 137 square feet.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Im sure it’s 137 square feet.
Keyana put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water into a bigger bucket, 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression shown below represents the weight, in kilograms, of the water in the bigger bucket.
[0.9(0.83 + 0.98)] × 1.021
Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
(A.) 1.663
(B.) 1.748
(C.) 1.763
(D.) 1.848
Answer:
i think maybe A.
Step-by-step explanation:
the line which passes through -2,5 and 6,8
Answer:
y=(3/8)x+5.75
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=(8-5)/(6+2)=3/8
y=mx+b
5=3/8(-2)+b
5=-3/4+b
b=5.75
y=mx+b
y=(3/8)x+5.75
(ASAP WORTH 10 POINTS) Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
72.5 in
75.5 in
83 in
96 in
Answer:
83 in²
Step-by-step explanation:
To calculate, add the areas of all three shapes that make up the polygon.
Area of rectangle = L×W = 5×8 = 40 in².
Area of top triangle = 1/2×b×h = 1/2×8×7=28 in².
Area of triangle on the right = 1/2×6×5 = 15 in².
Total area = 40+28+15 = 83 in²
write 3,897.003 in expanded form
Answer:3,000.000+800.000+90.000,7.000+0.003
Step-by-step explanation:
you would write these with each of the positions separate and add them as listed above
Greta’s family drinks 3 1/4 quarts of milk and 1 5/6 quarts of juice in one week. About how much more does Greta’s family drink in one week
To find out how much liquid Greta's family consumes weekly, we sum up 3 1/4 quarts of milk and 1 5/6 quarts of juice. After converting them to have a common denominator and adding, we determine the total consumption is about 5 1/12 quarts per week.
Explanation:The question: How much more does Greta's family drink in one week, if they consume 3 1/4 quarts of milk and 1 5/6 quarts of juice? To find the total amount of liquid Greta's family drinks in a week, we need to add the quarts of milk to the quarts of juice. Since these are fractional amounts, let's start by finding a common denominator. For fractions with denominators 4 and 6, the common denominator would be 12. Convert 3 1/4 quarts of milk to 13/4, which is equivalent to 39/12 quarts. Convert 1 5/6 quarts of juice to 11/6, which is equivalent to 22/12 quarts. Now that we have a common denominator, we can add these two amounts together.
Addition of fractions with common denominators:
Quarts of milk: 39/12 quartsQuarts of juice: 22/12 quartsAdding these we get 39/12 quarts + 22/12 quarts = 61/12 quarts. To convert this into a mixed number, we divide 61 by 12, which gives us 5 with a remainder of 1, so we have 5 1/12 quarts. Therefore, Greta's family drinks a total of about 5 1/12 quarts of milk and juice in a week.