A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters.
What is the area of the shaded region?
21 mm2
24 mm2
42 mm2
48 mm2
Answer:
Sorry if this is late, but it's 24mm2
Step-by-step explanation:
i got a 100 on the quiz
The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Area of the larger triangle = (1/2) * 5 mm * 12 mm = 30 mm²
Area of the smaller triangle = (1/2) * 4 mm * 3 mm = 6 mm²
Area of shaded region = 30 mm² - 6 mm² = 24 mm²
The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²
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What is the area of the shaded region of the diagram use a value pi= 3.14 and round your answer to two decimal places.
A. 19.23
B. 9.81
C. 1.57
D. 9.42
Answer:
The answer is 9.42, Yash :) ~Anusri
Step-by-step explanation:
Basically, you can set up two proportions (one for each concentric circle).
x/25pi=45/360 will get you an area of 9.81 for the smaller circle and x/49pi=45/360 will get you an area of 19.4225 for the larger circle. Subtract those and get 9.42.
Have fun Yash
To find the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.
Explanation:To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle.
The formula to find the area of a circle is pi * r^2, where pi is approximately 3.14 and r is the radius of the circle.
Let's assume the radius of the larger circle is 4 units and the radius of the smaller circle is 3 units. The area of the larger circle is 3.14 * 4^2 = 50.24 square units, and the area of the smaller circle is 3.14 * 3^2 = 28.26 square units.
Therefore, the area of the shaded region is 50.24 - 28.26 = 21.98 square units.
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A person wants to place pavers to make a new backyard patio. The patio will measure 4 2/3 yards by 5 1/3 yards. If the pavers are each 1 square foot and cost $1.20 each, how much will the pavers cost?
Answer:
$268.80
Step-by-step explanation:
#first convert the patio's dimensions to feet:
[tex]1 \ Yd= 3 \ ft\\\\4\frac{2}{3}\times 3=14\ ft\\\\5\frac{1}{3}\times 3=16\ ft[/tex]
#We now calculate the patio's area in sq ft:
[tex]A=lw\\\\=14\times 16\\\\=224\ ft^2[/tex]
#To determine the total cost of the pavers, we multiply by the cost per sq foot;
[tex]Cost=Area \times Cost/sq \ ft\\\\=224\times 1.2\\\\=268.80[/tex]
Hence, the pavers cost a total of $268.80
help someoneee!!!!
ill give a brainliest
Answer:
-13.5
Step-by-step explanation:
-4/3w=18
You would need to get the w by itself on one side so the easiest way to do so would be to divide both sides my -4/3.
This would give you an answer of w= -27/2 or w= -13.5
Caitlin plays on her school basketball team and scored 1/4 of the total points during the first three games. Her team scored 38 points the first game, 45 points the second game, and 49 points the third game. How many points total did Caitlin score during the first three games
Answer:
33 Points
Step-by-step explanation:
We can figure out that the total number of points scored by the team is 38+45+49=132. Since we know that Caitlin scored 1/4 of these total points, and 1/4 of 132=33, then she scored 33 points during the first three games.
I believe one of the answers is D, but i cant find any other ones. Can someone check my work and make sure i am correct? thank you!
Answer:
sqrt(15)/ sqrt(3)
sqrt(5)
sqrt(25)/ sqrt(5)
Step-by-step explanation:
Sqrt(100)/sqrt(20)
We know sqrt(a)/sqrt(b) = sqrt(a/b)
Sqrt(100/20)
sqrt(5)
sqrt(100)/sqrt(20)
10 / sqrt(4) sqrt(5)
10/2 sqrt(5)
5/ sqrt(5)
Rewriting 5 as sqrt(25)
sqrt(25)/ sqrt(5)
We can also look at
sqrt(15)/ sqrt(3)
We know sqrt(a)/sqrt(b) = sqrt(a/b)
sqrt(15/3)
sqrt(5)
There are 3 choices that are equal to sqrt(100)/ sqrt(20)
A pet store makes a 60% profit on sales. The manager wants the store to make over $6,000 in profit each month. Describe the inequality and the graph of the solution to find the minimum amount of sales the store must have each month to reach the goal.
The inequality is .
The graph of the solution is .
The inequality is : 0.6x > 6000. The graph of the solution is : open circle at 10,000; arrow right
Thats the right answer it told me
Answer:
The inequality is
✔ 0.6x > 6000
.
The graph of the solution is
✔ open circle at 10,000; arrow right
Step-by-step explanation:
Only 3 years late ;)
Sam is stacking cans of vegetables at the store his shelf is 10 in tall and 10in wide and the cans are 4 in tall and each has a volume of 50.24in how many cans will fit on the shelf?
Answer:
7 cans
Step-by-step explanation:
-The number of cans that can be fitted is obtained by dividing the volume of the shelf by the volume of an individual can.
-Volume of the shelf is calculated as below:
[tex]V_{shelf}=lwh\\\\=10\times10\times4\\\\=400\ in^3[/tex]
#We then divide by the volume of a can:
[tex]No \ of \ cans=\frac{V_{shelf}}{V_{can}}\\\\=\frac{400}{50.24}\\\\=7.96\approx 7\ cans[/tex]
We round down since the 8th can cannot properly fit.
Hence, only 7 cans will fit in the shelf
A shelf that is 10 inches tall and 10 inches wide can fit up to 4 cans of vegetables.
To determine how many cans of vegetables fit on Sam's shelf, we need to compare the dimensions of the shelf with the dimensions of the cans. Given:
Shelf height: 10 inchesShelf width: 10 inchesCan height: 4 inchesCan volume: 50.24 cubic inchesWe assume we stack the cans upright, which is the most common arrangement in a shelf. Each can occupies a 4-inch height. Therefore, we can stack:
10 inches / 4 inches = 2.5 cans
Since we cannot have half a can, we round down to 2 cans high. The shelf width allows for:
10 inches / 4 inches = 2.5 cans wide
Again, rounding down, 2 cans wide. Since we only have shelf dimensions in height and width (depth isn't mentioned, we'll assume a single layer in depth), the total number of cans that fit is:
2 (height) x 2 (width) = 4 cans
Describe a way in which the diagram above illustrates the unique plane postulate.
A.
Planes r and s intersect at line AB
B.
There is exactly one line, m, through points B and D.
C.
There is exactly one plane, s, through points A, B, and C.
D.
Plane rcontains points A and B and line /.
please hurry
The set of points in a plane that are equidistant from a given point is called
Answer:
Circle
Step-by-step explanation:
We have been given a definition and we have to identify this definition belongs to which shape.
Think of a shape which has a well defined center and all the points on its boundary are at an equal distance from the center. Only one such shape exists i.e. Circle.
The boundary of a circle is its Circumference. Each point on the circumference of a circle is at an equal distance from the center of the circle and this distance is known as the Radius of the Circle.
Therefore, the answer to this question is Circle.
Plz help! Question is in the picture! 10 point reward!
Answer:
1, 8.4
Unit rate: 8.4 feet per second
Step-by-step explanation:
To find the unit rate you divide the time by the distance, therefore with 8.4 it's easy to find the unit rate! :) Hope this helps! If it did, rate brainliest
There are 4 blueberry, 6 raisins, and 2 plain bagels in a bag. Mike randomly selects two bagels without replacing the first bagel. Find the probability that he selects a raisin bagel and then a plain bagel
Answer:
The probability that he selects a raisin bagel and then a plain bagel is [tex]\frac1{11}[/tex].
Step-by-step explanation:
Probability:
The ratio of the number of outcomes of favorable event to total number of all possible outcomes is called probability of the favorable event.
[tex]Probability=\frac{\textrm{The number of favorable outcomes}}{\textrm{Total number of all possible}}[/tex]
Given that, there are 4 blueberry, 6 raisins and 2 plain bangles in a bag.
Total number of bangles= (4+6+2)
= 12
The probability that he selects a raisin
[tex]=\frac{\textrm{Number of raisin bangles}}{\textrm{Total number of bangles}}[/tex]
[tex]=\frac{6}{12}[/tex]
[tex]=\frac12[/tex]
Total number of remaining bagels is =(12-1)=11
After selecting a raisin bagel,the probability that he selects a plain bangle is
[tex]=\frac{\textrm{Number of plain bangles}}{\textrm{Total number of bangles}}[/tex]
[tex]=\frac{2}{11}[/tex]
Selecting of a raisin bangle and a plain bangle are both independent event.
The probability that he selects a raisin bagel and then a plain bagel is
[tex]=\frac{1}2\times\frac{2}{11}[/tex]
[tex]=\frac1{11}[/tex]
find the value of each variable
Answer:
x = 12[tex]\sqrt{2}[/tex]
y = 12
z = 12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The triangle with z as one of it's sides is a 30, 60, 90 triangle where the longest side of the triangle is 2x, the shortest side as x, and the middle side as x*sqrt of 3.
The shared line between the two triangle is 12 and z is 12*sqrt of 3
The left triangle is a 45, 45, 90 triangle where the 2 sides that look the same are the same and the hypotenuse is x sqrt of 2 so y is 12 and x is 12 sqrt of 2
Answer:
x = [tex]12\sqrt{2}[/tex] units
y = 12 units
z = [tex]12\sqrt{3}[/tex] units
Step-by-step explanation:
Notice that the biggest triangle is broken up into a 45-45-90 isosceles triangle with hypotenuse x and leg y, as well as a 30-60-90 triangle with hypotenuse 24 and long leg z.
Let's focus on finding z first. Remember that in a 30-60-90 triangle, the ratio of the short leg to the long leg to the hypotenuse is: [tex]1:\sqrt{3} :2[/tex]. Here, the hypotenuse is 24 and z is the longest leg, so we have the proportion:
[tex]\frac{\sqrt{3} }{2} =\frac{z}{24}[/tex]
Cross-multiply:
[tex]24\sqrt{3} =2z[/tex]
z = [tex]12\sqrt{3}[/tex] units
Now, let's find the smallest leg of the 30-60-90 triangle; it is simply 24/2 = 12 units. Let's move onto x and y.
Remember that in a 45-45-90 triangle, the ratio of one leg to the second leg to the hypotenuse is: [tex]1:1:\sqrt{2}[/tex]. So, since y is a leg of this triangle and the smallest leg of the 30-60-90 triangle coincides with the second leg of the 45-45-90 triangle, y = 12 units.
Finally, x is found by multiplying 12 by [tex]\sqrt{2}[/tex]: 12 * [tex]\sqrt{2}[/tex] = [tex]12\sqrt{2}[/tex] units
Hope this helps!
Mr. Ishimoto needs to replace the grass in the section of his lawn that is shown below.
A grass section can be broken into 2 rectangles. 1 rectangle has a base of 7 feet and height of 3 feet. The other rectangle has a base of 2 feet and height of 7 feet.
If the new grass costs $0.40 per square foot, how much will the grass cost Mr. Ishimoto?
$14.00
$16.40
$35.00
$41.00
Answer:
The replacing the grass will cost Mr. Ishimoto $14.00.
Step-by-step explanation:
The area of a rectangular field is:
[tex]\text{Area}=\text{height}\times \text{base}[/tex]
It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.
The grass section can be broken into 2 rectangles.
First rectangle: Base = 7 feet and Height = 3 feet.
Second rectangle: Base = 2 feet and Height = 7 feet.
Compute the area of both the rectangles as follows:
[tex]\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21[/tex] [tex]\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14[/tex]
Now the cost of the new grass is $0.40 per square foot.
Compute the cost of replacing the grass in the first rectangular section as follows:
[tex]\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\[/tex]
[tex]=21\times \$0.40\\=\$8.40[/tex]
Compute the cost of replacing the grass in the second rectangular section as follows:
[tex]\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\[/tex]
[tex]=14\times \$0.40\\=\$5.60[/tex]
The total cost of replacing the grass is:
[tex]\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}[/tex]
[tex]=\$8.40+\$5.60\\=\$14.00[/tex]
Thus, the replacing the grass will cost Mr. Ishimoto $14.00.
Answer
14.00
Step-by-step explanation:
Lindsay used two points, (x 1, y 1) and (x 2, y 2), to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. Given this information, which expression must represent the value of b?
Answer:
tb i think its A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Deshawn invests $5,000 in a savings account that earns 6% annual interest, compounded continuously. How long will it take to double his money?
It will take about 11.55 years to double his money.
Important information:
Principal value = $5,000Rate of interest = 6% compounded continuously.Continuous compound interest:The formula for the amount in continuous compound interest is:
[tex]A=Pe^{rt}[/tex]
Where A is the amount, P is the principal, r is the rate of interest and t is time in years.
Substitute [tex]A=10000, P=5000,r=0.06[/tex].
[tex]10000=5000e^{0.06t}[/tex]
[tex]\dfrac{10000}{5000}=e^{0.06t}[/tex]
[tex]2=e^{0.06t}[/tex]
Taking ln on both sides, we get
[tex]\ln 2=\ln e^{0.06t}[/tex]
[tex]\ln 2=0.06t[/tex]
[tex]\dfrac{\ln 2}{0.06}=t[/tex]
[tex]t=11.55245[/tex]
[tex]t\approx 11.55[/tex]
Therefore, it will take about 11.55 years to double his money.
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Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.
I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.
The local newspaper has letters to the editor from
60
60 people. If this number represents
2
2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
300 readers
Step-by-step explanation:
60/2=30
30X100=300
The total number of readers of a newspaper based on the percentage of people who wrote letters to the editor are 3000.
The number of readers the newspaper has is:
Number of readers = (60 / 0.02) = 3000 readers
Therefore, the newspaper has 3000 readers.
The square prism has a base length of 2 ft. Which describes the cross section of the prism that is perpendicular to the base? please help
Answer: Cross-Section of the prism perpendicular to base is equal to base area so the base area is equal to 2*2=4 ft^2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
a = 7, b = ?, c = 14
you gave us nothing to go off of..no details or anything i was gonna say 7 until i realized b has no values
Find an equation equivalent to r=7csc theta in rectangular coordinates and describe the graph of the equation
Answer: B. Y=7 straight horizontal line
Step-by-step explanation:
Answer:
B : y = 7 straight horizontal line
Step-by-step explanation:
On edge
The cost, C, to produce b baseball bats per day is modeled by the function. What number of bats should be produced to keep costs at a minimum
Answer:
60
Step-by-step explanation:
Take the function's first derivative
C'(b) = 0.12b -7.2
7.2 = 0.12b
b = 7.2 / 0.12
b = 60
Second derivative test
C''(b) = 0.12 (+).
for all values of b, the graph will be concave downwards, therefore is value is confirmed to be a minimum
A shipping clerk will ship an order of 200 batteries so long as three randomly selected batteries work. Past data has shown that five out of 200 batteries are defective. What is the probability that the clerk will ship the order?
Answer:
0.9264999239
Step-by-step explanation:
chance that first battery that is being checked works is 195/200
chance that second battery that is being checked works is 194/199
chance that third battery that is being checked works is 193/198
propabilty that the clerk ships the order is (195/200)×(194/199)×(193/198)
=0.9264999239
in a wildlife preserve, a random sample Of the population of 150 raccoons was caught and weighed. The results, Given in pounds, were 17 19 20 21 23 27 28 28 28 and 32. Jean made the inference the average weight of the raccoon population is 25 pounds is the statement reasonable?
Answer:
It is not reasonable
Step-by-step explanation:
We have a population of 150 and the person takes 10 data from the raccoons, if we take the average of these values, we are left with:
(17 +19 +20 +21 +23 +27 +28 +28+ 28 + 32) / 10 = 24.3
Therefore the inference of the average weight is to approximate up to 25.
This is NOT correct, since it cannot be approximated in this way first and also that the sample is not representative. 10 sample data of 150, which is the population, will give results with a very large margin of error and with a minimum level of confidence.
Therefore it is not reasonable.
Answer:
No
Step-by-step explanation:
Here we have the weights as follows
17, 19, 20, 21, 23, 27, 28, 28, 28, 32
Sum = 243 pounds
Sample size = 10
Which gives the average as 243/10 = 24.3
Therefore, since the average is a point estimate, and measure of central tendency, to give the average rounded up in error will impact on the description of the data as the average is closer to 24 than to 25.
Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly? What percent did she answer incorrectly?
Answer:
She got a 76
Step-by-step explanation:
All you have to do is divide 19/25. You'll get your answer. Hope you understand. If you have any concerns, contact me! Also, a fraction is a division problem! The number on the top goes first!
PLEASE HELP
4x^2+2x=7
Solve By Completing the Square
Please show steps!
Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
4x² + 2x = 7
The first step is to divide both sides of the equation by 4. It becomes
4x²/4 + 2x/4 = 7/4
x² + x/2 = 7/4
The next step is to add the square of half of the coefficient of x to both sides of the equation. It becomes
x² + x/2 + (1/4)² = 7/4 + (1/4)²
(x + 1/4)² = 7/4 + 1/16
(x + 1/4)² = 29/16
Taking square root of both sides of the equation, it becomes
x + 1/4 = ±√29/4
x = - 1/4 ± √29/4
x = (- 1 + √29)/4 or x = (- 1 - √29)/4
x = (- 1 + 5.385)/4 or x = (- 1 - 5.385)/4
x = 1.09625 or x = - 1.59625
How are ridge transformations are congruent figures related ?
Answer:
uh im not in that grade yet so ye
Step-by-step explanation:
A parabola opening up or down has vertex (0,0) and passes through (4,2). Write it’s equation in vertex form
The equation of the parabola opening up or down with a vertex at the origin and passing through the point (4,2) is y = 0.125x².
Explanation:The equation of a parabola in vertex form is represented by y = a(x-h)² + k, where (h, k) is the vertex of the parabola, and 'a' is a coefficient that determines the direction and steepness of the parabola.
Since the vertex of the parabola in this case is at the origin (0, 0), the equation simplifies to y = ax²
We know the curve passes through the point (4,2), so we can substitute these values into the equation 2 = a(4)², which simplifies to 2 = 16a. Solving for 'a' gives us a = 2/16 or a = 0.125.
Thus, the equation of the parabola is y = 0.125x²
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The equation of a parabola with vertex at (0,0) passing through (4,2) is y = (1/8)x². This is derived by using the vertex form and solving for 'a'.
Equation of a Parabola in Vertex Form
The equation of a parabola in vertex form is given by:
y = a(x - h)² + k, where (h, k) is the vertex.
In this case, the vertex of the parabola is at (0, 0), so the equation simplifies to:
y = ax²
Since the parabola passes through the point (4, 2), we can substitute this point into the equation to find the value of 'a':
Substitute x = 4 and y = 2:
2 = a(4)²
2 = 16a
Solve for 'a': a = 2/16 = 1/8
Therefore, the equation of the parabola in vertex form is: y = (1/8)x²
What is 19+11+77-2/10? for math points
Answer: 19 + 11 = 30 + 77 = 107 - 2/10 = 106.8
If you're confused by the fraction just do 2 divided by 10 and you should get 0.2.
So, instead of doing 2/10 you can do:
19 + 11 = 30 + 77 = 107 - 0.2 = 106.8
Have a good day!
Determine ƒ(a + h) for ƒ(x) = 2x3.
ƒ(a + h) = 2(a3 + 3a2h + 3ah2 + h3)
ƒ(a + h) = 8(a3 + 3a2h + 3ah2 + h3)
ƒ(a + h) = 8(a3 + h3)
ƒ(a + h) = 2(a3 + a2h + ah2 + h3)
Answer:
ƒ(a + h) = 2(a^3 + 3a^2h + 3ah^2 + h^3)
Step-by-step explanation:
Put (a+h) in place of x and "simplify" the expression.
f(x) = 2x^3
f(a +h) = 2(a +h)^3 = 2(a^3 +3a^2h +3ah^2 +h^3) . . . . matches 1st choice
_____
It helps to know the expansion of a binomial:
(a +b)^3 = a^3 +3a^2b +3ab^2 +b^3
Even if you don't, you can multiply it out.
(a +b)^3 = (a +b)(a^2 +2ab +b^2) = a^3 +2a^2b +ab^2 +a^2b +2ab^2 +b^3
= a^3 +3a^2b +3ab^2 +b^3