100 points: A small circular mirror has a 2 cm frame around it. The mirror itself is 8 cm in diameter.
if possible show your work :)
(a) Write and simplify an expression for the exact area of the frame.
(b) Find the approximate area of the frame. Use 3.14 to approximate π
Answers
Answer:
48π and 150.72
Step-by-step explanation:
Please check out the attached photo. by the way, if anything's confusing, feel free to leave a comment. I'm here to help.
Total diameter:-
8+2+2=8+4=12cmRadius=12/2=6cm
So
Area:-
πr²π6²36πcm²#2
36(3.14)113.04cm²(Exact)Related Questions
Use the Pythagorean theorem to find the value of b²
Answers
So what is the Pythagorean Theorem:
⇒ it states the sum of both leg's lengths squared is equal to
⇒ hypotenuse's length squared
(look at the image attached for a better explanation)
To find out [tex]b^2[/tex], let's look to the Pythagorean equation to see what we are missing:
[tex]a^2 + b^2 = c^2\\(10^2) + b^2 = 325\\b^2 = 325 - 10^2\\b^2 = 325 - 100 = 225\\b^2 = 225[/tex]
a = 10 ⇒ [tex]a^2[/tex] = 100[tex]c^2 = 325[/tex]So b^2 = 225 ⇒ Choice B
Hope that helps!
Gina's bedroom floor is in the shape of a rectangle. It is 10 feet long and 9 feet wide. What is the area of Gina's floor?
Answers
Answer:
90 ft sq
Step-by-step explanation:
L*W is the formula so 9 times 10 is 90.
Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires 1/5 pound of bolts, how many kitchen can she repair? Joshua solves the problem by finding 8 ÷ 1/5 = 40. Melanie solves the problem by finding 8 × 5 = 40. Use the drop-down menus to explain why Joshua and Melanie are both correct.
Choose... a whole number by a unit fraction is the same as multiplying a whole number by the Choose... of the unit fraction.
CHOOSE THING STUFF
1st choose: MULTIPLYING or DIVIDING
2nd choose: NUMBERATOR or DEMOMINATOR
Answers
Answer:
40
Step-by-step explanation:
8 divided by 1/5 is the same thing as 8 multiplied by 5
(06.02 LC) Which of these is the algebraic expression for "3 times the sum of 2 and y?3(2 + y) 3 ⋅ 2 + y 2 + 3 ⋅ y 2(3 + y)
Answers
Answer:
5(2+y)
Step-by-step explanation:
The sum of 2 and y = 2+y
So,
5 times the sum of 2 and y(2 + y) = 5 × (2+y) = 5(2+y)
The answer is 5(2+y)
Answer:
A. 3(2 + y)
Step-by-step explanation:
It's A. 3(2 + y) because when an equation is in parentheses then you have to do it first. So you would work out 2 + y and then multiply it by 3.
Hope I helped!!
A skyscraper in downtown Los Angeles is 7.9 x 10 feet tall. How tall is the building?
Answers
Answer: I'm pretty sure the answer is 79 hope this helps
Step-by-step explanation:
A rectangular prism has a volume of 180 cubic inches and a height of 5 inches. What is a possible length and width, in inches, of the prism? Show your work in the space below.
Answers
Answer:
length - 9 in width - 4 in
Answer:
See below ~
Step-by-step explanation:
Given :
Volume = 180 in³Height = 5 inchesSolving :
Volume = Base Area x Height180 = 5 x Base AreaBase Area = 36 in²Possible Dimensions
6 in x 6 in9 in x 4 in18 in x 2 in36 in x 1 inJust choose any of them for your convenience.
Use the simple interest formula (I=PxRxT and Account= P+I) to find the interest joe will earn if he deposits $2500 in an account that makes 4.5% simple interest annually for 6 years. what will be his account balance at the end of 6 years?
Answers
Answer:
$3175
Step-by-step explanation:
Substitute the equation with the numbers.
Interest = P x R x T
Interest = 2500 x 0.045 x 6
I = 675
Add the interest amount with the original amount.
675 + 2500 = 3175
I hope this helps and please mark me as brainliest!
Step-by-step explanation:
Substitute the equation with the numbers.Interest = P x R x T x Interest = 2500 x 0.045 x 6I = 675
Now add the interest amount(675)with the original(2500)amount:
675 + 2500 = $3175
Answer to the question:
$3175
His account balance at the end of 6 years is $3175.
I hope this is helpful to you!
how to divide 2 by 18?
Please help, brainliest! Im not kidding, im only in like 1st grade ;(
Answers
Answer
2/18 = 9
Step-by-step explanation:
Answer:
It’s 9 and it’s okay you are just starting don’t worry !
Step-by-step explanation:
Hope this helps!!
HAVE AN AMAZING DAY
what is the probability of 0.25
Neither likely? Or nor unlikely?
Answers
Answer:
around 1/2
Step-by-step explanation:
A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
3. HELP ASAP!!! GIVING BRAINLIEST!!!
Find each missing measure.
Answers
Answer:
m1=35
m2=77
m3=49
m4=77
m5=62
m6=28
Step-by-step explanation:
The required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°
What are angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.
Given is a figure, we need to find the marked angles from it,
∠ 2 + 103° = 180° [linear pair]
∠ 2 = 77°
∠ 1 + ∠ 2 + 68° = 180° [angle sum property of a triangle]
∠ 1 = 35°
∠ 4 = ∠ 2 [vertically opposite angles]
∠ 4 = 77°
Now,
∠ 3 + 41° = 90° [angles in a right triangle]
∠ 3 = 49°
∠ 6 = 180° - (∠ 3+103°)
∠ 6 = 28°
∠ 5 = 90°-∠ 6
∠ 5 = 62°
Hence, the required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°
Learn more about angles, click;
https://brainly.com/question/30147425
#SPJ7
Paul ate 7/9 of 1/6 of his birthday cake. Did Paul eat more or less than 7/9 of the cake? Did he eat more or less than 1/6 of the cake? Explain your answer WITHOUT finding the exact product in the space below.
Answers
Answer:
See below ↓↓
Step-by-step explanation:
He ate less than 7/9 of the cakeHe ate less than 1/6 of the cakeTo understand, I'll explain in simple words.
First look at the part where it says 1/6 of his birthday cakeThat means he can only eat less than or equal to 1/6 of the cake7/9 > 1/6, so it's definitely less than 7/9Now, it says he ate 7/9 of that 1/6 slice of the cakeThe 1/6 slice can be represented as a whole (9/9) and he only ate 7 parts of that small fractionTherefore, he ate less than 1/6 of the cakeI hope it's clear and feel free to ask if you're still confusedPlease help me, I don't know the answer
WILL MARK BRANLIEST IF CORRECT :)
Answers
Answer:
the answer is C ........
Answer:
the answer is C
Step-by-step explanation:
Help solve pls
(Estimate the perimeter of the figures)
Answers
Answer:
23
Step-by-step explanation:
PLSSSSSSSSSSHELPPPPPPPPPP
Answers
Answer:
Equation: 28-F = N
then if he folded 22 it would be 6
Step-by-step explanation:
Im pretty sure thats right
Hope this helpsss!<3
Answer:
N = 28 - F N = 6
Step-by-step explanation:
N = 28 - F
F = 22
28 - 22 = 6
N = 6
The vertices of triangle ABC are A(-2, 3), B)4, 3), and C(-2, -4). The triangle is dilated with a scale factor of 3. Estimate the perimeter of the dilated figure to the nearest whole number.
Answers
Answer:
67 u
Step-by-step explanation:
The perimeter of current triangle times three rounded to nearest whole number.
4. HELP ASAP!!! GIVING BRAINLIEST!!!
(Photo Below) Find each missing measure.
Answers
Answer:
m1=51
m2 =39
m3=90
m4=51
m5=17
m6=129
Step-by-step explanation:
m1=51
m2 =39
m3=90
m4=51
m5=17
m6=129
For angle 1 we are given an angle of 39 and the other of 90 so the angle 1 is 51.
Also we are provided angle 1 plus 2 is 90 so the angle 2 is 90-51 which is 39.
Angle 4 can be found by 180-90- 39which is 51.
If 3 is 180- 39-51= 90
Angle 5 can be found by 180-90-34-39 =17
Angle 6 is 180-35-17=129
I WILL CHOOSE BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
because angles a is diagonally opposite to 162, they are equal. And as b and 162 are alternate angles, they will also be equal
Answer:
C. <A & <B
Explanation:
If lines m and n are parallel, then you can use the proofs of vertical angles are congruent and alternate interior angles are congruent to prove that <A and <B are equal to 162 degrees; the reason that <C and <D are not congruent, is because they would be too small to fit 162 degrees, they would be the opposite of 162 which is 180-162=18 degrees.
WILL CHOOSE BRAINLIEST! Find the measure of ∠BCX
Answers
Answer:
143 degrees
Step-by-step explanation:
If you were taught this rule, then you would know that the two far interior angles of a triangle are equal to the one on the outside, i dont know its name, but i know it works, so all you have to do is add 90+53=143 degrees for your answer.
90+53 (angle 53) = 143
all triangles angles always add up to 180
180-143=37
angle C=37
180-37=143
Answer is A
A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane’s speed in miles per hour? At this rate, how many miles can it travel in 10 hours?
Answers
If you divide 3360 by 6 = 560
In 10 hours the plane would travel 5,600 miles.
560 x 10 = 5600
Divide 3360 by 6 which gives you 560.
Then, to find for 10 hours, you would multiply 560 by 10 which gives you 5600.
The plane can travel 5600 miles in 10 hours.
42 points I answered the seconed one please help !!!!!!
the options to put in the categories are impossible, equally likely, certain, unlikely, likely
Answers
Answer:
given below
Step-by-step explanation:
option 1 : equally likely
option 2 : impossible
option 3: certain
option 4 : unlikely
option 5 : likely
Chang runs each lap in 8 minutes. He will run at least 11 laps today. What are the possible numbers of minutes he will run today?
Answers
8•11= 88 minutes
Chang is going to run 88 minutes today
I can't figure this out
Answers
For finding the surface area of the entire cylinder, we need to use the proper formula which is [tex]SA = 2 \pi r h + 2 \pi r^2[/tex]. Since the problem already gives us the radius and height, we can easily plug in the numbers. The equation should now look like this: [tex]SA = 2 * 3.14*3*6 +2*3.14*3^2[/tex].
After multiplying and adding all the numbers in the formula, we get a surface area of 169.56 yards squared.
For the lateral surface area, we can just subtract the [tex]2 \pi r^2[/tex] part from the formula.
[tex]SA = 2 * 3.14* 3 *6[/tex], which is 113.04 yards squared for the lateral surface area.
Total = 2pi x r x h + 2pi x r to the power of 2
Lateral = 2pi x r x h
For total it would be 2 x pi x 3 x 6 + 2 x pi x 3 to the power of 2 ( pi = 3.14)
For lateral it would be 2 x pi x 3 x 6
Just put that in the calculator and you’ll get your answer
Btw r = radius and radios is the half of something so if you see the line on the base go all the way you know it’s the diameter and not the radius so you would have to divide it by 2 to get your radius.
Total = 131.88
Lateral = 113.04
Write the number for three million nine hundred thousand .
Answers
Answer:
Down below
Step-by-step explanation:
The correct format for this is 3,900,000
Answer:
3,900,000
Step-by-step explanation:
Can you answer the question in the screen shot? Thanks!
Another question about this one:
For every 3 circles there are _ : _ total shapes, therefore the simplified ratio of circles to total shapes is _ : _
Answers
Answer: 3:8
another question: answer: for every 3 circles, they are 3:8 total shapes
x=6
is a solution to the inequality x−5≤ 10
True or False?
Answers
Answer:
[tex]\boxed{\sf{FALSE}}[/tex][tex]\boxed{\sf{x\leq 15}}[/tex]Step-by-step explanation:
Isolate the term of x from one side of the equation.
x-5≤10First, add by 5 from both sides.
[tex]\sf{x-5+5\leq10+5}[/tex]
Solve.
Add the numbers from left to right.
[tex]\sf{10+5=15}[/tex]
[tex]\Longrightarrow: \boxed{\sf{x\leq 15}}[/tex]
Therefore, the solution is x≤15, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Let's solve this inequality.
First, we should add 5 to both sides:-
x≤10+5
x≤15
Remember, the "≤" sign means "less than or equal to"
So is x=6 a solution to the inequality x≤15? Will this solution make the inequality true?
Yes.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A(t)=3(2)ᵗ and W(t)=30t-70 which is smaller, A(4) or W(4)
Answers
A(4) is the smaller
Step-by-step explanation:
A(4) = 3 (2^4) = 48
W (4) = 30(4) - 70 = 50
The price of an item has been reduced by $8.72. The original price was $45.39. What is the price now?
Answers
Answer:
36.67 dollars
Step-by-step explanation:
45.49 - 8.72 = 36.67
Subtraction :)
Hope this helps.
45.49-8.72=36.67
I WILL GIVE BRAINLIEST
Answers
Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:
[tex]\frac{0-10}{-3-(-5)}[/tex]
0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
[tex]\frac{-10}{2}[/tex] = -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3
Solve for Y fs X=7.
Y≤1/14x-3/2
Answers
Answer:
Y<=-1
Step-by-step explanation:
So to solve this problem, just plug in x for 7
Y<=1/14(7)-3/2
simplify
y<=7/14-3/2
simplify
y<=1/2-3/2
simplify
y<=-1
Pls help with number 3
Answers
Answer:
about 17
Step-by-step explanation:
side 1 =4
side 2=4
side 3=4
one of the slanted lines is about equal to 2 and the other is also about 2
but i rounded it to 17 because a slanted line is longer than one that is straight across