Answer:
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
Step-by-step explanation:
The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:
[tex]circumference = 2*\pi*r[/tex]
Where the radius is half the diameter, applying the data from the problem we have:
[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]
The area of the circle formed by the pool can be found using the following expression:
[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
What is the missing justification?
Answer:
The missing justification is the transitive property.
Step-by-step explanation:
The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.
The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. The missing justification is the transitive property of equality.
What is the transitive property of equality?The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. For Example,
A = B and B = C, then,
A = C
Given ∠A≅∠B and ∠C≅∠B therefore, using the transitive property of equality we can write ∠A≅∠C.
Hence, the missing justification is the transitive property of equality.
Learn more about Transitive Property:
https://brainly.com/question/2437149
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Which shows a perfect square trinomial please help soon
Answer: The answer is C, the third one.
Step-by-step explanation: Copy and paste the whole page into google. The top brainly result will appear and give the answer.
Factorise 3x plus 6. Please nowwww answer
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor 3 out of 3x.
3(x)+6
Factor 3 out of 6.
3x+3⋅2
Factor 3 out of 3x+3⋅2.
3(x+2)
Ms. bloom
has 15/16 of a pack of construction papers at her desk. Ms. White takes another 2 new packs of construction papers to the class for an art project. The students use 13/16 pack for the art project. How many packs of construction papers are left?
Answer:25
Step-by-step explanation:
you have to times 5 by 5
In RST, the measure of
Answer:
5.2 feet.
Step-by-step explanation:
The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).
From SOH CAH TOA, we see that we have O and H, so thus we should use sine.
Sine of any angle= opposite/hypotenuse.
Sine of 64= x/5.8
Sine of 64 (times 5.8)=x
x= 5.2 feet.
Additionally, you could use a right triangle calculator to solve for side x.
Answer:
Step-by-step explanation:
sin 64=x/5.8
x=sin64* 5.8
x=0.92*5.8
x=5.3
Is triangle LWO congruent to triangle BST?
Answer:last one
Step-by-step explanation:
last one
Answer:
lasat oine
Step-by-step explanation:
Please answer correctly !!!! Will mark brianliest !!!!!!!!
Answer:
(5x+2)(3x-2)
Step-by-step explanation:
15x^2-4x-4
= 15x^2+6x-10x-4
= 3x(5x+2) - 2(5x+2)
= (5x+2)(3x-2)
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....
What part of the circumstance is an arc whose measure is 30
Answer:
1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.
Step-by-step explanation:
Here are four equations connecting x and y.
kis a constant
Match each equation to one of the statements A B C or D.
Equation 1 Equation 2 Equation 3 Equation 4
y=kx
y=
Ay is directly proportional to x
By is directly proportional to x
Cy is inversely proportional to x
Dy is inversely proportional to x
View One Minute Version
Answer:
The answer is explained below
Step-by-step explanation:
y = kx
A) y is directly proportional to x
When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.
If y is directly proportional to x, and k is the constant it can be represented by the equation:
y = kx
y = k/x
C) y is inversely proportional to x
When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.
If y is inversely proportional to x, and k is the constant it can be represented by the equation:
y = k/x
In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical values in that order with the measures separated by commas.
Answer:112,112,68
Step-by-step explanation:
You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68
Answer:
112, 112, 68
Step-by-step explanation:
The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Question:
Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)
B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Answer:
A) 16.64 Feets
B) 7.65 feets
Step-by-step explanation:
Given the following :
The question above can be solved by applying Pythagoras rule :
A^2 = B^2 + C^2
PR² = PQ² + QR²
PR² = 14² + 9²
PR² = 196 + 81
PR = √277
PR = 16.64feet
Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:
QR² = PR² - PQ²
QR² = 16² - 14²
QR² = 256 - 196
QR² = 60
Take the Square root of both sides
QR = √60
QR = 7.7459666 Feets
what is a cofunction
Answer:
A cofunction is whenever A and B are completmentary angles.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for x.
Use the completing the square method.
4x2−7x−8=0
Round decimals to the nearest tenth.
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
state if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statement. Part 4
a. similar, SSS similarity
b. similar, SAS similarity triangle LSR
c. not similar
Answer: a) similar, SSS similarity
Step-by-step explanation:
ΔLSR sides in order from least to greatest are: 24, 33, 36
ΔLNM sides in order from least to greatest are: 112, 154, 168
If the triangles are similar then their corresponding sides will be proportional
[tex]\dfrac{LS}{LN}=\dfrac{SR}{NM}=\dfrac{LR}{LM}\\\\\\\\\\\dfrac{LS}{LN}=\dfrac{24}{112}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{SR}{NM}=\dfrac{33}{154}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{LR}{LM}=\dfrac{36}{168}\quad \rightarrow \dfrac{3}{14}[/tex]
Their corresponding sides are proportional so
ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem
Maria rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. Which denominator will the fraction always convert to a repeating decimal?
Answer:
The answer is 11
Step-by-step explanation:
Since 11 is a prime number, it cannot be divided by anything, so when it is divided by something, it will always result in a repeating decimal.
Answer:
11
Step-by-step explanation:
PLEASE HELP FOR A COOKIE
If the ratio of RS/ST=5/7, find the value of x, RS, RT.
RS=2x+9
ST=4x-15
mary practiced piano for two or more hours each week write and solve an inequality to represent how many hours mary practiced the piano in 4 weeks
Answer:
Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]
Step-by-step explanation:
Mary practiced the piano for two or more each week, in other words the number of hours practiced in a week must be equal or greater than 2. A math expression that can represent this situation can be seen below:
[tex]\text{week practice} \geq 2[/tex]
The problem wants us to write an inequality to state how many hours she practiced in four weeks. In order to do this, we need to multiply the number of hours she practiced in a week, given by the last expression, by four. We have:
[tex]\text{four week practice} \geq 4*2\\\text{four week practice} \geq 8[/tex]
Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]
which set of values belong to the domain and range of a relation
where's your picture?
PLEASE SEE PIC BELOW
Answer: third one
Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.
Please help! Correct answers only please!
Answer:
5
Step-by-step explanation:
The check digit is the very last digit on the right, the one by itself
5
jdhdusndjskdbkanxjsidnw
Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
£30 for 5 litres and yellow paint costs £28 for 7 litres.
Lucy sells her green paint for £4.50 per litre. Will she make a profit? Show your working
to justify your decision.
Answer:
No, she won’t make a profit
Step-by-step explanation:
Here, we are interested in determining if Lucy made a profit or a loss.
The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter
The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter
Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.
This means that she mixed them the ratio as follows per liter;
For yellow, we have; 5/(5+2) = 5/7
For blue we have 2/(5+2) = 2/7
Now since a liter of yellow paint cost 4 pounds
5/7 of a liter will cost 5/7 * 4 = 20/7 pounds
For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7
The total cost in pounds in this;
20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place
Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss
What is the surface area of a rectangular prism with a width of 5cm, length
of 4cm and height of 3cm?
Answer:
It would be 94 cm
Step-by-step explanation:
Answer:
94 cm
Step-by-step explanation:
just googled a rectangular prism calculator
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
[tex] \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
[/tex]
Consider the function represented by the table.
The ordered pair given in the bottom row can be written
using function notation as
2
7
9
f(x)
6
3
5
f19)=5.
Of(5)=9.
O f5.9)=14
119.5)=14.
Market
Andreu
Save and Edit
com/content. Amen
Answer:
A
f(9) = 5
Step-by-step explanation:
Ex:
If we have an x value of 9, it would look like
f (9) = 9 + y-intercept
So in this situation we have a x-value of 9.
We know that at 9, y = 5.
So f (9) = 5.
Answer:
The answer is A
Step-by-step explanation:
Just took the test on Edge
I have never been marked Brainiest before if you would PLEASE pick mine.
what are the coordinates of D’
Answer:
(-2,-1)
Step-by-step explanation:
Reflection across the x-axis is: [tex](x,y)\rightarrow(x,-y)[/tex]
We need to multiply the y-value of the pre-image by negative one to get reflected across the x-axis.
1 * -1 = -1
So:
[tex](-2,1)\rightarrow(-2,-1)[/tex]
D' should be (-2,-1).
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers) If Ramiro stops using his credit card, how long will it take him (in months) to pay off the $500.00 if he makes only the minimum payment?
Answer: It will take approximately 30 months to pay off the $500.00.
Step-by-step explanation:
Since we have given that
Principal = $10.00
Amount = $500.00
Rate of interest = 18.24%
So, we will apply "Compound interest" to find the number of months:
[tex]A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5[/tex]
So, the number of months would be
[tex]2.5\times 12=30\ months[/tex]
Hence, it will take approximately 30 months to pay off the $500.00.
All Food City oranges are normally $3 per pound, but this week they are on sale for $2 per
pound. What is the percent decrease in price?
Answer:
33.33%
Step-by-step explanation:
The oranges have decreased by one dollar per pound so you have to find the percentage of 3 that is 1. To do this is 1 over 3 multiplied by 100%
= [tex]\frac{1}{3} \\[/tex] * 100%
And this will give you 33.33%
somebody help me I’m struggling
Answer:
A. $ (5 + 2x), B. = $ 305
Step-by-step explanation:
x miles
A. cost for x miles = 5 + 2x ($)
B. cost for 150 miles = 5 + 2*150 =305 ($)
Answer:
A. let the mile driven = x
5 + 2x
B. × = 150 mile
taxi service = $5 + $2(150)
= $305
*in an equation u dont have to write the symbol . for example, $, ml, km, etc.
If f(x) = 4x + 5, determine the value of f(−3) .
Answer:
F(x)= -7
Step-by-step explanation:
f(-3)=4(-3)+5
F(-3)= - 12 + 5
F(x)= -7
Hope this helps
Answer:
f(-3)= -7
Step-by-step explanation:
To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.
f(x)=4x+5
Therefore, we can substitute -3 in for x.
f(-3)=4(-3)+5
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
Multiply 4 and -3
f(-3)=-12+5
Add -12 and 5
f(-3)= -7
Write the vertex form for x^2 +6x +2. *write your answer as y= ()^2
Answer:
y = (x + 3)² - 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
To obtain this form use the method of completing the square
Given
y = x² + 6x + 2
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 2
= (x + 3)² - 7
