a new school bought pencils for all of the classrooms. there are 7 pencils in each package, and each box of pencils contains 7 packages. Each classroom gets 4 boxes. How many pencils are there in 3 classrooms? ​

9514 1404 393

Answer:

  120 m²

Step-by-step explanation:

If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...

  A = 1/2bh

  A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area

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Alternate solutions

Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...

  α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°

Then the area is ...

  A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C

  A = 1/2sin(α)·17·17 = 120 . . . m²

__

Using Heron's formula:

  s = (17 +17 +16)/2 = 25

  A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²

__

If you need to, you can compute the triangle's height from the Pythagorean theorem.

  a² +b² = c² . . . . generic Pythagorean theorem equation

  8² + h² = 17² . . . with relevant values filled in

  h² = 289 -64 = 225

  h = √225 = 15

Answer:

10.5 meter sqaured

Step-by-step explanation:

Answer:

Answer is 10.5 meters squared

Step-by-step explanation:

Answer:

::::::::::::::::

B. 900 km/h

Answer:$3570

Step-by-step explanation:

42000x0.035=1470

2100+1470=3570

Answer:

The answer to this is 4 and 9 over 16.

Step-by-step explanation:

The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as

3 + (2 + 8)^2 ÷ 4 × (1/2)^4

using PEMDAS

parenthesis come first

3 + 10^2 ÷ 4 × (1/2)^4

exponential comes next

3 + 100 ÷ 4 × 1/16

3 + 25 × 1/16

3 + 25/16

(48 + 25)/16

73/16

4 9/16

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

Answer:

I belive the answer is 1380.

Answer:  31.5

Step-by-step explanation:

Fiest the formula of a triange is : b times h/2

B=3.5, H=18

3.5 times 18 divided by 2=  31.5

Since it aks for the area of only one triangle it will be 31.5!

I hope this helps and may God bless you! Have a nice day, bye!

Answer:

Here

Step-by-step explanation:

Answer: 45/53

Step-by-step explanation:

CAH is Adjacent over Hypotenuse

Answer:

D

Step-by-step explanation:

The researcher did no prediction or any (possible)

Hope this helps :)

Answer:

Circles

Step-by-step explanation:

Think of a soup can sitting on its base on a kitchen counter.  The counter is an example of a plane (through) parallel to the base.  The points where the can and counter intersect form a circle.  Put a book on top of the can.  Again, the plane of the book is parallel to the base and the book and can intersect in a circle.

The same thing would happen if you cut the can open with a plane anywhere in between the two mentioned above, but it would make a mess!

The answer is circles. If you cut this shape in half you will get two circles.

Answer:

1/4, 1/2, .67, 3/4, 7/8, 1.78, 3.2, 6, 9

Answer:

A: 9, 3.2, 1.78, 0.67

B: 6, 7/8, 3/4, 1/2, 1/4

all together 9, 6, 3.2, 1.78, 7/8, 3/4, 0.67, 1/2, 1/4

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

since its a right-angled triangle you will use the formula:1/2 of the base × height

Answer:

[tex]120^{2}[/tex]

Step-by-step explanation:

Heron's formula

(for every triangle, you can use this same formula. just change the value of the letters)

a = 26

b = 10

c = 24

s = area

S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]

S =  [tex]\frac{(a+b+c)}{2}[/tex]

Answer:

Step-by-step explanation:

there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!

Answer:

f(-5) = 13

Step-by-step explanation:

Substitute x with -5

f(-5) = -3 (-5) - 2

=> 15 - 2

=> 13

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong then I am incredibly sorry!

A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of a quadratic equation can be found using the formula,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.

Now, if we substitute the values in the formula of the roots of the quadratic equation,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]

x = (1±√-59)/6

x = (1+√-59)/6, (1-√-59)/6

Hence, the roots of the given quadratic equation are shown in options B and F.

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Answer:

mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.

Answer:

46 ≤ n ≤ 60   ( C )

Step-by-step explanation:

using the given null hypothesis to check if the samples differ from originally values

given that:  frequency ( f ) ≥ 5

N = 600

hence : n * 0.11 ≥ 5

therefore : n ≥ 45.45

next : also  n / N ≤ 0. 10

therefore: n  ≤  0.1 * 600

therefore all possible sizes will lie between  

46≤n≤60

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 46.8}{1.75}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 46.8}{1.75}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Answer:

how fast is he running???

Answer:

Step-by-step explanation:

The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.

As we know the long diagonal bisects the shorter one and they are perpendicular.

Using Pythagorean, lets find the distance between the center of a greater circle and the chord:

The distance from the center of smaller circle and the chord is:

Now using Pythagorean again, find the radius of the smaller circle:

7+5^2.4

=7+47.591348

=54.591348

Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong

Step-by-step explanation:

Step-by-step explanation:

P(A) = 5/24

P(B|A) = 5/23

(5/24)(5/23) = 25/552

Answer:

x = 3

m<m = 114°

m<n = 66°

Step-by-step explanation:

✔️Opposite angles of a parallelogram are always congruent to each other.

Therefore:

m<m = 114°

m<n = 66°

✔️Opposite sides of a parallelogram are also congruent. This implies that:

7x - 3 = 4x + 6

Collect like terms

7x - 4x = 3 + 6

3x = 9

Divide both sides by 3

3x/3 = 9/3

x = 3

Answer:

6.99 rounded up to 7 :))

Step-by-step explanation:

1/3 = 0.33

2.33 * 3 = 6.99 ft

Answer:

96

Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96

The surface area of 128 square inches.

The total surface area of a three-dimensional form is the sum of all the surfaces on each side.

Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.

hence, surface area of the given square prism = 2(area of base + 2 * area of one side)

area of one side = 4* 6 = 24

so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches

Therefore, 128 square inches is the surface area of the square prism.

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