A computer company invested a total of $242 million in research and development in its scanners and video digitizers. If the amount the company spent on research and development on scanners was $95 million more than was spent on research and development on its video digitizers, how much in fact did the company spend on research and development on its scanners?

Answer:

Im not positive but its either c or d

Answer:

x = sqrt(95)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

[tex] \tt{ \verified} \: \: \: \red{ \checkmark}[/tex]

Answer: The age of Mr. Lang's youngest son is 7 years old.

Step-by-step explanation:

Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,

1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.

Now we are left with 7 and 12. Let's see is they will work.

7+12=19

7×12=84

It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.

Answer:

7 !

Step-by-step explanation:Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,

1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.

Now we are left with 7 and 12. Let's see is they will work.

7+12=19

7×12=84

It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.

Answer:

{-3,-1,0,2}

Step-by-step explanation:

The range is the output values

The y values are

-3,-1,0,2

Answer:

5

Step-by-step explanation:

15-5(p-6)

15-5(8-6)

15-5(2)

15-10

5

Answer:

149.59062 cm^2

Step-by-step explanation:

area of circle=πr^2

=3.142*(6.9)^2

=3.142*47.61

=149.59062 cm^2

Answer:

592 divided by 16=37

Answer:

592 divided by 16 is 37

3 boxes on top:

5 tens + 92 = 592

Step-by-step explanation:

:)

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

[tex]\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21[/tex]

Total amount that food costs without tax is

[tex]\Rightarrow 13+2.21\\\Rightarrow \$15.21[/tex]

Answer:

x = 6.7

Step-by-step explanation:

legs of a right triangle are 6,3 and hypotenuse be x

using pythagors theorem to find hypotenuse

a^2 + b^2 = c^2

6^2 + 3^3 = x^2

36 + 9 = x^2

45 = x^2

[tex]\sqrt{45} = x[/tex]

[tex]\sqrt{3*3*5} = x[/tex]

[tex]3\sqrt{5} = x[/tex]

6.70 =x

6.7 =x

Answer:

y = 4x +2

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = 4x +2

Answer:

(0,0)

Step-by-step explanation:

a(-1 , 2) &  B(1, -2)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]= (\frac{-1 + 1}{2},\frac{2 - 2}{2})\\\\= (0,0)[/tex]

Answer:

160

Step-by-step explanation:

If the scale factor is 4, we would have to multiply the height and width by 4

4*5=20

4*4=16

Now to find the area of the triangle using the formula (20*16)/2

That equals to 160

Answer:[tex]\$ 14,212[/tex]

Step-by-step explanation:

Given

Peng bought 19 stationary bikes for $748  each

The cost of 19 bikes is the multiplication of the cost of each bike times the total bikes

[tex]\Rightarrow \text{Cost= }19\times 748\\\\\Rightarrow \text{Cost= }\$ 14,212[/tex]

Thus, she spends [tex]\$ 14,212[/tex] on 19 bikes.

Answer:

[tex]\text{B. }\triangle DKM[/tex]

Step-by-step explanation:

When naming a triangle or any polygon, the name should consists of either the center of the polygon or each of the vertices (points) of the triangle. In this case, no center is labelled, so we will use the vertices to name the triangle.

The vertices or points of the triangle are D, K, and M. Therefore, we name this triangle by writing a triangle symbol [tex]\triangle[/tex] followed by these vertices.

Unless you're comparing it to another polygon (e.g. writing a similarity statement), the order of which you list the vertices does not matter, but you should start with a point and move either clockwise or counterclockwise until you list every point. Therefore, the answer is [tex]\boxed{\text{B. }\triangle DKM}[/tex].

Perimeter of the rectangle = 18 units

Answer:

area=54

perimeter=30

Step-by-step explanation:

add all the sides=p

multiply 6 and 3 then 6 and 6 and add them together=a

Answer:

perimeter = a+b+c+d+e+f+g

= 6 +3+2+6+6+2+3= 28

area=first of all find the area one by one

area of the lying rectangle is.

a=l×b

but first let's add 3+3 =6

b=6

a=6×6

a=36

area of the standing rectangle

a=l×b

let's add 6+6=12 &2+2=4

a=l×b

a=12×4=48

then let's add both area together

36+48=84

therefore perimeter is 28 and area is 84

Step-by-step explanation:

why is double 6 is because the length are the same.

Answer:

7x + 2y = 1

Step-by-step explanation:

First we find the slope m of the line

The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as

m = (y2 - y1)/(x2 - x1)

Considering the points (–3, 11) and K(1, –3), the slope of the line m

= (-3-11)/(1 --3)

= -14/4

= 7/2

the line JK may be given as

y - 11 = -7/2(x - -3)

multiply through the equation by 2

2y - 22 = -7(x + 3)

2y - 22 = -7x - 21

7x + 2y = 22 - 21

7x + 2y = 1

Answer:

B

Step-by-step explanation:

7x + 2y = 1

Answer:

Step-by-step explanation:

Required function is:

Answer:  directly north

=============================================

Explanation:

A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.

Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.

Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.

Answer:

f(-2) = 3

Step-by-step explanation:

Have a nice day!

and please tell me if I am wrong.

Answer: 3

Step-by-step explanation:

If you carefully look at the table, when f(x) is -2, x is 3

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

Answer:

D - 10^2+24^2

Step-by-step explanation:

So, there are a few important things here to go over:

First off, the formula for area of square is l*w, but since a square's length and width are equal, this will just be l^2.

Secondly, the formula for pythagreons theorm is a^2+b^2=c^2. This is what we will use to find the side length of A.

So, we see that there is a triangle that is made up of the top side of the organge square, the left side of the green square, and the right side of the blue square.

To find the righ side of the blue square, we need to use the pythagreons theorm.

This is because the hypotenuse of the triangle(C), is also the right side of square A.

The A and B that we use to find C in pythagreons theorm we know is 24 and 10.

Lets plug this in:

10^2+24^2=c^2

=

100+576=676

Normallu, to find the length of the side, we would root the 676. However, since area is x^2, and we found ^2=676, we are fine.

So tecnically, 10^2+24^2=A.

Or:

[tex]10^2+24^2=A[/tex]

This looks like D

Hope this helps!

Answer:

y=50 and z=60 (vertically opposite)

x+60+y=180

or x+60+50=180

or x+110=180

or x=70

Answer:

Step-by-step explanation:

a.x = 95 degree

reason = being vertically opposite angles

x + 145 degree = 180 degree

x = 180 -145

x=35 degree

reason = being linear pair

b.40 + x =90 degree

x = 90 - 40

x = 50 degree

reason = being perpendicular

y = x + 40

y = 50 + 40

y = 90 degree

reason = being vertically opposite angles

c.50 + 60 + x=180 degree

110 + x =180

x = 180-110

x = 70 degree

reason = being linear pair

z = 60 degree

reason = being vertically opposite angles

y = 50 degree

reason = being vertically opposite angles

d. x = 80 +10

x =90 degree

reason = being vertically opposite angles

y + x =180 degree

y + 90 =180

y = 180 - 90

y = 90 degree

reason = being linear pair

Answer:

a point like this on a curve is called inflection point. every normal curve has inflection point at exactly 1 standard deviation on each side of the mean

Step-by-step explanation:

Sana maka tulongg

Answer:

Where’s the graph?

Step-by-step explanation: