the perimeter of an equilateral triangle is 150cm. If the length of the altitude of the triangle is x√3cm, what is the value of x?​

Answer:

98.00 Dollars

Step-by-step explanation:

7 x 7=49 square yards

49 x 2.00 = 98.00

Answer:

First find the area

7 x 7 = 49

every yard is $2

49 x 2 = 98

$98

Step-by-step explanation:

Answer:

false, they can run 14 miles in 15 minutes

Step-by-step explanation:

56 divide by 4 = 14

60 divided by 15 = 4

Answer:

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Step-by-step explanation:

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Answer:

x<-11/2

Step-by-step explanation

Try to isolate the variable by dividing it.

Answer:

6- 9in

7- B

8- D

9-C

10-C

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

i had this question and it said it was right so..

Answer:

d

Step-by-step explanation:

Answer:

a circle with a  diameter  of 16 meters  largest

a circle with a  circumference of 37.68 meters

a circle with a  radius of  7 meters

a circle with a  diameter of 8 meters

Step-by-step explanation:

a circle with a  diameter of 8 meters

The radius is 8/2 = 4

A = pi r^2 = 3.14 * 4^2 = 50.24 m^2

a circle with a  radius of  7 meters

A = pi r^2 = 3.14 * 7^2 = 153.86 m^2

a circle with a  circumference of 37.68 meters

C = 2*pi*r

37.68 = 6.28r  r =6

A = 3.14 (6)^2 =113.04

a circle with a  diameter  of 16 meters

r = d/2 = 8m

A = pi r^2 = 3.14 (8)^2 = 200.96 m^2

Answer:

a circle with a diameter of 16 meters

a circle with a radius of 7 meters

a circle with a circumference of 37.68 meters

a circle with a diameter of 8 meters

Step-by-step explanation:

a circle with a

diameter of

8 meters

A = pi × (8/2)² = 16pi

a circle with a

radius of

7 meters

A = pi × 7² = 49pi

a circle with a

circumference

of 37.68 meters

C = 2pi × r

37.68 = 2pi × r

r = 18.84/3.14 = 6

A = pi × 6² = 36pi

a circle with a

diameter

of 16 meters

A = pi × (16/2)² = 64pi

The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.

The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us

[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].

This ratio is consistent throughout the sequence as each subsequent term is  rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.

Answer:

How many miles does each member of the biking club ri de>

Step-by-step explanation:

This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.

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Answer:

8

Step-by-step explanation:

72/s

Let s=9

72/9 = 8

The maximum length of the poster that can be put in the box is [tex]28in[/tex].

In a cuboid, the longest dimension is the diagonal of the cuboid.

   Diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}+(height)^{2} }[/tex]

Let,    [tex]l=[/tex] the length of the cuboid

         [tex]b=[/tex] the width of the cuboid

         [tex]h=[/tex] the height of the cuboid

And   [tex]d=[/tex] the diagonal of the cuboid

So, as per the formulae [tex]d=\sqrt{l^{2}+b^{2}+h^{2} }[/tex]

Assigning the given values,

[tex]l=24[/tex]

[tex]b=8[/tex]

[tex]h=12[/tex]

Now, calculate [tex]d[/tex] using the formulae,

[tex]d=\sqrt{24^{2}+8^{2}+12^{2}}=\sqrt{576+64+144}=\sqrt{784}=28[/tex]

Hence, the maximum length of the poster that can be put in the box is [tex]28in[/tex].

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The longest poster that fits in the box is 28 inches, matching the diagonal length. Multiple 26-inch posters fit due to the box's length of 24 inches.

To determine the longest poster that can fit inside the box, we need to find the length of the diagonal of the box, as this represents the maximum length a poster can have and still fit within the box.

Given dimensions of the box:

- Height (h) = 12 inches

- Length (l) = 24 inches

- Width (w) = 8 inches

We will use the formula for the diagonal ( d ) of a rectangular box:

[tex]\[ d = \sqrt{h^2 + l^2 + w^2} \][/tex]

Substitute the given values:

[tex]\[ d = \sqrt{12^2 + 24^2 + 8^2} \][/tex]

[tex]\[ d = \sqrt{144 + 576 + 64} \][/tex]

[tex]\[ d = \sqrt{784} \][/tex]

[tex]\[ d = 28 \text{ inches} \][/tex]

Therefore, the diagonal ( d ) of the box is 28 inches.

Now, the longest poster that can fit inside the box cannot exceed this diagonal length of 28 inches. Hence, the longest poster that can fit in the box is 28 inches in length.

Regarding why you can fit multiple 26-inch posters but only one 28-inch poster:

- The box is 24 inches long, so a 26-inch poster can fit along the length of the box without exceeding it.

- However, a 28-inch poster matches the diagonal length exactly, meaning it stretches from one corner of the box to the opposite corner, utilizing the maximum space available inside the box. Trying to fit more than one 28-inch poster would require overlapping or exceeding the box's dimensions, which is not possible.

In conclusion:

- The longest poster that can fit in the box is **28 inches** in length, corresponding to the length of the diagonal of the box.

- You can fit multiple 26-inch posters in the box because each poster fits within the length of the box without overlapping or exceeding the dimensions.

Answer:

your fricked I don't even know this lolll

Answer:

927 Cubic inches

Step-by-step explanation:

Area of Octagon, using the formula for finding the area of regular polygons (A = 1/2 x apothem x perimeter): A= 1/2 x 4.83 x 4(8) -> A = 77.28

Then using the Area of the base , you then multiply it with the height, and you get your volume: 77.28 x 12 = 927 cubic inches

Final answer:

The median value of the car counts recorded by Maria and Jeff is calculated by first ordering the data and then finding the average of the two middle numbers, leading to a median of 69 cars passing through the intersection.

Explanation:

The median is a measure of central tendency which is used when the data set has outliers or is not symmetrically distributed. To calculate the median of Maria and Jeff's data which includes the number of cars that pass through an intersection, we first need to arrange the data set in ascending order: 56, 63, 64, 67, 71, 75, 78, and 158. Since there are eight numbers, we take the average of the two middle numbers (67 and 71).

To find the median, we add 67 and 71 to get 138 and then divide by 2, which results in a median of 69 cars. Thus, according to Maria's method, on average, a typical number of cars that would pass through the intersection on a Monday morning would be 69.

Answer:

see attachement

Step-by-step explanation:

Answer:

sry, didn't know how to answer #10

Step-by-step explanation:

3: 115°

4: 62°

5: ∠FED

6: 98°

7: 139°

8: 65°

9: 65°

10: unsure

11: 37

12: 16.97

13: 15.8

14: 71.063352017759

15: 13

Answer:

135 ft^2

Step-by-step explanation:

7yd = 7*3 feet = 21 feet

[tex]area \: of \: trapezoid \\ = \frac{1}{2} (15 + 21) \times 7.5 \\ = \frac{1}{2} \times 36 \times 7.5 \\ = 18 \times 7.5 \\ = 135 {feet}^{2} [/tex]

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

Answer:

The base of each triangle B is: 2 ✓

The area of the rectangle is: 4 ✓

The area of each triangle is: 4 ✓

The area of the trapezoid is: 12 ✓

Step-by-step explanation:

Hope I helped, btw I'm following everyone who follows me! :)

Answer:

That should be right

Step-by-step explanation:

The domain of f(x) = (1/6)x + 2 is all real numbers, and the range is also all real numbers.

The given function is f(x) = (1/6)x + 2.

The domain of a function is the set of all possible input values. In this case, since there are no restrictions on x, the domain is all real numbers.

The range of a function is the set of all possible output values. The function is a linear function with a positive slope, which means as x increases, f(x) also increases. Therefore, the range is also all real numbers.

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Answer:

3(6)(4) = 72 cm

Step-by-step explanation:

The volume of a rectangular prism = Length * Width * Height

Substitute your values into the equation and solve for V

V = 3 * 6 * 4

V = 72 [tex]cm^{2}[/tex]

Answer:

d.72

Step-by-step explanation:

volume = area of base *height = 4*3  * 6

Answer:

We have 10 sections, we can assume that the probability of hitting each of one of them is the same.

we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:

P(X) = 9/10 = 0.90

The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:

P(not X) = 1/10 = 0.10

Also, when you have only two events, you can calculate this as:

P(not X) = 1 - P(X) = 1 - 0.90 = 0.10

Answer:

The kangaroo hopped a total of 5 miles to the lake.

Explanation:

To convert yards to miles, we can use the conversion factor that 1 mile is equal to 1760 yards.

So, to find out how many miles the kangaroo hopped to the lake, we first sum the distance with and without the baby in her pouch:

Total distance = Distance with baby + Distance without baby

Total distance = 3520 yards + 5280 yards

Total distance = 8800 yards

Now, we convert this total distance to miles:

Total distance in miles = Total distance in yards / 1760 yards/mile

Total distance in miles = 8800 yards / 1760 yards/mile

Total distance in miles = 5 miles

Therefore, the kangaroo hopped a total of 5 miles to the lake.

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

Answer:

  (x – 4)^2 + (y – 3)^2 = 8

Step-by-step explanation:

The square of the diameter will be 4 times the square of the radius. The square of the diameter is the sum of squares of differences of coordinates of P and Q:

  d^2 = |PQ|^2 = (2 -6)^2 +(1 -5)^2 = 16 +16

  d^2 = 32

  4r^2 = 32 . . . . . substitute 4r^2 for d^2

  r^2 = 8 . . . . . . . divide by 4 to find r^2

The equation of a circle centered on (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The given equation tells us the center is (h, k) = (4, 3), so we need only fill in the value of r^2.

  (x -4)^2 +(y -3)^2 = 8

Answer:

I think it's a or d I think

Answer:

13.8564

Step-by-step explanation:

The square root of 192 is about 13.8564 meaning that 13.8564^2≈192

Answer:

B -13.86, 13.86

Step-by-step explanation:

Edge

Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .

Step-by-step explanation:

The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

The translation is given as:

(x,y) -> (x+1,y+2)

The point Q is located at

(-4,4)

So, the image would be:

(x,y) -> (-4+1,4+2)

Evaluate

(x,y) -> (-3,6)

Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

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