A computer program in Shannon’s computer carries out a single mathematical operation in 1.5 × 10-6 seconds. How much time would the program take to complete 2.5 × 103 mathematical operations?

Answer:

angle m1 = 14 degrees

Step-by-step explanation:

angle ABD = 70 deg

angle m1 + angle m2 = 70 deg

angle m2 = 4 * angle m1

angle m1 + (4 * angle m1) = 70 deg

5 * angle m1 = 70 deg

angle m1 = 14 deg

Answer:

I think Darius I is the correct answer.

Answer:

15

Step-by-step explanation:

5n = 82 - 7

82 - 7 = 75

75/5 = 15

n = 15

Answer:

C=2 D=2

SA=

Step-by-step explanation:

Surface Area (SA)= 2(wl+hl+hw)

2(2×5+9×5+9×2)

=146 yards

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  [tex]b \cap c[/tex]. (green "football")

image2 shows the complement of a (outside a):  [tex]a'[/tex]  (yellow)

image3 shows the intersection of those sets:  [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it")   :-)

Answer:

Step-by-step explanation:

x-intercept:  Set y = 0 and solve for x:

 0 = mx + b, or mx = -b, or x = -b/m.  x-intercept is then (-b/m, 0)

y-intercept:  Set x = 0 and solve for y:  y = m(0) + b, or y = b.  y-intercept is then

 (0, b).

Answer:

I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

Answer:

241

Step-by-step explanation:

Given the equation to evaluate :

2^8 −10−15÷3

2^8 = 256

256 - 10 - 15 ÷ 3

From BODMAS principle, we evaluate the divison before subtraction :

-15 ÷ 3 = - 5

256 - 10 -5

256 - 15

= 241

Answer:

-36

Step-by-step explanation:

-3 ×12=--36

Answer:

Find the area of the base and multiply it by the height

Step-by-step explanation:

Volume Rectangular Prism = L x W x H

L x W = Area base

So it is Area of base x height

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Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

Answer:

x=1

Step-by-step explanation:

a(a+b)=c(c+d)

4(6x+4)=5(3x+5)

24x+16=15x+25

9x=9

x=1

Answer: 6% decrease

Step-by-step explanation:

Answer:

6% decrease

Step-by-step explanation:

Given that,

Initial number of students = 1200

At the end of the year there were 1128 students

We need to find the  percent of  change in enrollment.

Change in enrollment = 1200 - 1128 = 72

The percentage of change is :

[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]

So, there is a decrease of 6% in number of students.

Answer:

its A

Step-by-step explanation:

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

Answer:

16 ft

Step-by-step explanation:

height of pyramid = (3×512)/(½×24×8)

= 1536/96

= 16 ft

(A)

Step-by-step explanation:

Multiply both sides by (x + 3)(x - 3)

4(x + 3) + 2 = (x- 3)

4x + 12 + 2 = x - 3

3x = - 17

or

x = -17/3

Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)

Step-by-step explanation:

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

To Find :

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

Answer:

[tex](4 i+ 3)(5 - 2i)[/tex]

[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]

[tex]= - {8i}^{2} + 14i + 15 [/tex]

Answer:

60 feet from the center.

Step-by-step explanation:

As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:

c² = a² - b²   (1)

Where:

c: Length from center to foci.

a: length of half the hall.

b: length of the ceiling.

Replacing the given data into (1) we have:

c² = (130/2)² - (25)²

c = √65² - 500

c = √3600

Hope this helps

Answer:

4

Step-by-step explanation:

The numbers you have are 2, 2, 3, 4, 8, 8, 8

First, cross out 2 on the very left and 8 on the very right.

Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.

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Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

Answer:

1. y= 3/2x + 8

2. y= 13/11x+12/11

Step-by-step explanation:

Answer:

y = 3/2x + 8 , y = 13/11x + 12/11

Step-by-step explanation: