Answer:
Step-by-step explanation:
Using the same proportion as the previous question
11/x = x / 8 Cross multiply
x^2 = 88 Factor 88 into at least 1 perfect square and something
x^2 = 4 * 22 Take the square root of both sides
x = sqrt(4 * 22)
x = 2*sqrt(22)
what does 9a^2 + 2b^2 if a=4 and b=7?
Answer:
242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
Given
9a² + 2b² ← substitute a = 4 and b = 7
= 9(4)² + 2(7)²
= 9(16) + 2(49)
= 144 + 98
= 242
What is the distance between points (-7, 8) and (2, 8)?
Answer:
Exact Form:
2 √ 34
Decimal Form:
11.66190378
The distance between points (-7, 8) and (2, 8) is 9 units.
Formula to calculate distance between two points:The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]
For given question,
Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]
Let d be the distance between two points.
Using distance formula,
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]
[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]
[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]
[tex]d=\sqrt{9^{2}+0 }[/tex]
[tex]d=9[/tex] units
Hence, the distance between points (-7, 8) and (2, 8) is 9 units.
Learn more about distance between two points here:
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What is the MAD for the following data set? 5,15,10,35,25
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answer:
triangle
Step-by-step explanation:
what is 18 rounded to the nearst 1/4
Answer:
18
Step-by-step explanation:
1/4 is close to 0 so 18 rounded to the nearest ones place is just 18
Answer:
20
Step-by-step explanation:
When we round to the nearest ten, we will round up to a number that has a zero in the ones place but we have to look at the number in the ones place before we round to determine the number in the tens place. The rule is if the number in the place before the place we need to round (in this case the ones place would be what we look at to determine the rounded tens place) 1-4 is going to round down, keeping the tens place the same and the ones place goes to zero, and if the ones number place is 5-9 then we round up, bringing the ones to zero and the tens up by one tens place.
Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4
Answer:
Graph f(x)=1/4x-3. f(x)=14x−3 f ( x ) = 1 4 x - 3. Rewrite the function as an equation. y=x4−3 y = x 4 - 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps. ... Any line can be graphed using two points. Select two x ...
Step-by-step explanation:
find the area of the triangle
Answer:
area = ½bh
= 1/2×11× 15
= 82.5 Square inches
82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5
Evaluate the following i¹⁹⁸
-1
1
√-1
1i
Answer:
i^198 is -1
hope I helped :)
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Step-by-step explanation:
width = area ÷ length = 5x+3
Can someone just explain to me how to find “u” Thanks!
Answer:
u = 4 yards
Step-by-step explanation:
Step 1: Find u using sin
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
[tex]sin(30)=\frac{u}{8}[/tex]
[tex]8*sin(30)=u[/tex]
Step 2: Plug into a calculator
[tex]8*sin(30)=u[/tex]
[tex]8 * \frac{1}{2} = u[/tex]
[tex]4 = u[/tex]
Answer: u = 4 yards
I need help which one is it?
which is more 10,000 ft or 2 miles
Answer:
2 mi =10560ft
2x-4y=-20 write it in y=ax+b form
Answer:
[tex] y = \frac{1}{2} x + 5[/tex]
Step-by-step explanation:
[tex]2x - 4y = - 20 \\ \\ - 4y = - 2x - 20 \\ \\ y = \frac{ - 2}{ - 4}x - \frac{20}{ - 4} \\ \\ y = \frac{1}{2} x + 5[/tex]
what is the area of the composite figure
Answer:
132cm
Step-by-step explanation:
elimination method
x-5=-y
3x-10=2y
Answer:
(4,1)
Step-by-step explanation:
Multiply the first equation by -3
(x-5=-y)*-3 = -3x+15=3y
Then combine like terms with the new equation and the second equation
(-3x+15=3y) + (3x-10=2y) = 5=5y
Divide 5 by both sides
1=y
Plug in 1 for y in an equation. Doesn’t matter which one and solve
x-5=-(1)
Distribute the negative sign to the 1
x-5=-1
Add 5 to both sides
x=4
20 Is 80 percent of what number?
A 21
В 22
С 24
D 25
Answer:
D. 25
25 percent * 80 =
(25:100)* 80 =
(25* 80):100 =
2000:100 = 20
Is Figure B a scale copy of Figure A?
2.8
2.8
4
Figure A
10
10
16
Figure B
Choose 1 answer:
Answer:
no
Step-by-step explanation:
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answer:
2/3
Step-by-step explanation:
I need to know how to find the measure of angle a.
Answer:
90°
Step-by-step explanation:
We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.
Let's first find an expression for each angle.
Angle A: m<A = x + 100
Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.
Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.
Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.
(x + 100) + (x + 60) + 40 = 180
x + 100 + x + 60 + 40 = 180
2x + 200 = 180
2x = -20
x = -10
The measure of angle A is x + 100, and x = -10
m<A = x + 100 = -10 + 100 = 90
Answer: 90°
The length of two sides of a right triangle are leg: 9 m and hypotenuse: 15 m. Find the length of the third side.
Answer:
Length of Third Side = 12 m
Step-by-step explanation:
You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.
Hope it helps!
use exponents to write an equivalent expression for 2.9 x 2.9 x 2.9 x 2.9.
Answer:
2.9 to the 4th power
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!
Answer:
only if you help me i can help you if you help me
Step-by-step explanation:
The table shows the height of a ball, h(t), after t seconds. The data can be modeled using a quadratic regression equation.
Time (s) 1 2 3 4
Height (ft.) 88.7 139.9 158.9 146.1
Approximately when will the ball hit the ground?
0 s
5.2 s
6.3 s
7.5 s
Answer:
6.3 seconds
Step-by-step explanation:
Make a table
Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?
Answer:3 whole numbers 2/12
Step-by-step explanation:
2/3 x 1/4
3 2/12
Find the midpoint between A (4, 2) and B (0, 6)
Can you please solve this
Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Step-by-step explanation:
I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.
1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.
2. I used the same method. Now I will multiply the two.
3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Find the slope of the lines given two points. (-7, 2) and (-7, 1)
Answer:
undefined
Step-by-step explanation:
m=1-2/-7-(-7)
m=-1/0
x=0 slop
the line will be vertical and the slope is undefined
what is .16 divided by .03220
0.16÷0.3220=0.49689440993
PLS HELP!!!
A circle is subdivided by a central angle of 90 degrees. The length of the subtended arc is 25 mm. What is the radius of the circle?
A:
[tex] \frac{50}{\pi} mm[/tex]
B:
[tex] \frac{\pi}{50} mm[/tex]
C:
[tex] \frac{25\pi}{2} mm[/tex]
D:
[tex]25mm[/tex]
Answer:
[tex](\text{A})\:\frac{50}{\pi}\:\text{mm}[/tex]
Step-by-step explanation:
This the arc is 90 degrees and there are 360 degrees in a circle, it makes up [tex]\frac{90}{360}=\frac{1}{4}[/tex] of the circle. Therefore, its length will be [tex]\frac{1}{4}[/tex] of the circumference. Since its length is 25 mm, the circumference is then [tex]25\cdot 4=100\:\text{mm}[/tex]. The circumference of a circle is given by [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, we can set up the following equation and solve for [tex]r[/tex]:
[tex]2\pi r=100[/tex]
Solving, we get:
[tex]2\pi r=100,\\\\r=\frac{100}{2\pi},\\\\r=\boxed{(\text{A})\:\frac{50}{\pi}\:\text{mm}}[/tex].
PLEASE HELP ME I NEED HELP RIGHT AWAY!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answer:
There are 40 books total
Step-by-step explanation:
you need to set a proportion
The first fraction is 55/100 it's over 100 because it's percent
the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books
then you multiply diagonally
55×x= 22×100
55x=2,200
Then you solve it like a regular equation by dividing both sides by 55
x=40
Answer:
There are a total of 40 books in the box.