Answer:
the diameter: 17inches
so the radius is: 8.5 inches
the formula for calculating a circle's area:
r×r×π
so:
8.5×8.5×3.14= 226.865
The required to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
We know that the diameter of the mirror with the frame is 17 inches, which means that the radius of the mirror is half of that or 8.5 inches.
To find the area of the mirror with the frame, we need to subtract the area of the frame from the area of the circle. The area of the circle is:
[tex]A_{circle} = \pi r^2A_{circle} = 3.14 \times (8.5)^2A_{circle} \approx 226.98\ \ \ square inches[/tex]
To find the area of the frame, we need to subtract the area of the inner circle (the mirror) from the area of the outer circle (the frame). The radius of the inner circle is 8.5 inches, and the radius of the outer circle is half of the diameter of the mirror, or 8.5 + (1/2) = 9 inches.
The area of the frame is:
[tex]A_{{frame}} = \pi (9^2) - \pi (8.5^2)A_{frame} = 3.14 \times (81 - 72.25)A_{frame} \approx27.36 \ \ \ square inches[/tex]
Now we can find the area of the mirror with the frame by adding the area of the circle and the area of the frame:
[tex]A_{mirror\ with \ frame} = A_{circle} + A_{frame}A_{mirror\ with \ frame} \approx 226.98 + 27.36A_{mirror\ with \ frame} \aprrox 254.34 \ \ \ square inches[/tex]
Therefore, to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.
Learn more about the surface area here: https://brainly.com/question/2835293
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3
Triangle ABC is similar to triangle DEF.
+
12 units
D
A
8 units
6 units
What is the value of k in units?
A 9 units
B 10 units
C 16 units
D 4 units
Answer:
16units is the correct answer
-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]
Answer: x>=-4
Step-by-step explanation:
-3x+2<=14
subtract 2 from both sides,
-3x<=12
Divide by -3, because you are dividing by a negative, the sign gets flipped
X>=-4
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Which point is a solution to the system of inequalities?
StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout
(–2, 6)
(1, 9)
(2, 8)
(0, 4)
D) (0,4)
Correct on Edge 2021
The correct option is 4. (0,4)
Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .
Taking first inequality,
[tex]y\geq \frac{1}{2} x^{2} +4[/tex]
Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]
now checking which option satisfy the above equation.
Taking option 1.(–2, 6)
on putting x= - 2 and y=6, we get
[tex]6= \frac{1}{2} (-2)^2+4[/tex]
[tex]6=6[/tex]
Hence option 1 (–2, 6) satisfy the equation.
Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.
Now option 4 (0, 4).
Putting x=0 and y = 4, we get
[tex]4=0+4\\4=4[/tex]
Hence option 4 also satisfy the first inequality.
Now we have two option to choose our final answer option 1 and option 4.
since option 4 lies in the shaded region so option 4 will be correct option.
Hence the correct option is 4. (0,4)
For more details follow the link:
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There are 35 red marbles, 8 blue marbles, and 7 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble?
○ 35%
○ 25%
○ 42.9%
○ 70%
Answer:
70%
Step-by-step explanation: 35/50 equals 0.7
Answer:
70%
Step-by-step explanation:
The total number of marbles will be 35 + 8 + 7 = 50 marbles in total (all the colors added together). The probability of drawing a red marble will be the number of red marbles divided by the total marbles. This also fits the probability formula of (desired outcomes)/(total number of outcomes. Thus, we have 35 red marbles and 50 marbles in total. So, we get 35/50, which is 70%.
Which of the following equations must also be true? Select three that apply.
Answer:
[tex] \frac{ - r}{ - s} = t[/tex]
[tex] \frac{ - r}{s} = t[/tex]
[tex] \frac{r}{ - s} = - t[/tex]
help please!
options are
10.2
17.6
8.8
13.4
9514 1404 393
Answer:
(a) 10.2 ft
Step-by-step explanation:
The total surface area S is the sum of the base area and the lateral area. The base area is the area of the two triangular bases, which have a "base" of 6 ft and a height of 4 ft.
area of 2 bases = 2(1/2)bh = bh = (6 ft)(4 ft) = 24 ft²
The lateral surface area is the sum of the areas of the three rectangular faces. That will be ...
total face area = (4 ft)(x) +(6 ft)(x) +(7.2 ft)(x) = (17.2 ft)(x)
So, the total surface area is ...
200 ft² = 24 ft² + (17.2 ft)(x)
176 ft² = (17.2 ft)x . . . . . . . . . . subtract 24 ft²
(176 ft²)/(17.2 ft) = x ≈ 10.2 ft . . . . . divide by the coefficient of x
The unknown prism height is about 10.2 ft.
Please don’t judge me, can I get some help? Questions in the screenshot below
X-y=6, x+y=8, zx+zy=20
Answer:
Step-by-step explanation:
x = 6 + y
6 + y + y = 8
y = 1
x - 1 =6
x = 7
zx + zy = z(x + y) = 20
z = 2.5
Answer:
X = 7
Y = 1
Z = 2/5
Step-by-step explanation:
7-1 = 6
7+1 = 8
2/5 × 7 + 2/5 = 20
Solve the equation
2x - 4(x-2) = -5 + 4x - 35
Write these numbers in ascending order
9.81 x 10^3
9.82 x 10^2
9812
Answer:
look at the picture i sent......
HELP HELP HELP I’ve BEEN STUCK ON THIS QUESTION IVE ASKED LIKE 3 TIMES ALREADY....ILL GIVE BRAINLY!!
Answer:
y = -3/4x - 3
Step-by-step explanation:
first lets find the slope what is rise over run
to get from (0, -3) to (-4,0) u have to rise 3 and go back 4
the slope would be -3/4
the last part is were it hits the y axis - ( -3) so it be -3
5x+3x+2y+4y (simplify)
Answer:
Combine like terms:
(5x + 3x) (2y + 4y)
8x + 6y is your algebra expression.
Please help look at picture and solve for x I’ll mark u as brainliest and no links
Answer:
A x=18
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
d) $7.82
Step-by-step explanation:
just multiply the 2 numbers
. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *
Answer:
50.965.01
Step-by-step explanation:
The ratio of hot dogs to hamburgers on a barbeque table is 7:3. If there are 51 hamburgers on the table then how many hot dogs must be there?
Answer:
119 hotdogs
Step-by-step explanation:
Let 7x = no. of hotdogs
then 3x = no. of hamburgers
3x = 51
x = 17
7(17) = 119 hotdogs
In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes
8.4 x 10 breaths per year. Using this data, what was the number of breaths of all the people
in Asia in 2016? Expressing your answer in scientific notation in the form a < 10', what are
the values of a and b?
Answer:
The answer for A is A- 3.75
And the answer for B is B- 16
need help. i will mark brainliest
Answer:
B (5t + 15 ≤ 140) is correct
Step-by-step explanation:
Because since each table (t) seats 5 people, you'd represent that as 5t (5 seats per table).
Since there is one extra table that seats 15 people, you'd represent that as 15.
Lastly, those two last steps added together should have to be less than or equal to (≤) 140 (the amount of people allowed in the building).
Find the area of the shape shown below.
Answer:
4
Step-by-step explanation:
k
Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below
Answer:
The answer is "[tex]28^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete question in the file.
The angle F measure is identical to the angle C measure.
The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.
[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]
2Y=5XSquared
I don’t have the power symbols on my phone.
How do I solve for Y?
[2x(3+5)+6]x4 what is the value of this expression
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.
Answer:
I beileve it is Y.
Step-by-step explanation:
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
Find the median of each set of data
Answer:
sorry, I think u got yr question incomplete.
stay safe healthy and happy.To find the median:
- Arrange the data points from smallest to largest.
- If the number of data points is odd, the median is the middle data point in the list.
- If the number of data points is even, the median is the average of the two middle data points in the list.
Please please please help!!!
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The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x
The sample mean is $641.80 thousand and the sample median is $583 thousand.
This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and price and half the sales were more than the median price.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 + 543 + 557+ 676) = 6418
total number = 10
Mean = $6418 / 10 = $641.80
= $641.80 thousand
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288
The two numbers in the middle of the set of numbers are 575 and 591
Median = (575 + 591) / 2 = $583
$583 thousand
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amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate
Answer:
1 hour 45 minutes
Step-by-step explanation:
Time taken to cover a distance of 2 miles = 30 minutes.
Time required to cover 1 mile = 30/2 = 15 minutes.
Time required to cover 7 miles = 15×7
= 105 minutes or 1 hour and 45 minutes.