Answer:
x = - 4
Step-by-step explanation:
Since we are looking at a circle, we know that the sum of all arc angles should add up to 360°. This means that the following...
- 32x - 3 = 360 - 85 - 35 - 115
- 32x - 3 = 125
- 32x = 125 + 3
- 32x = 128
x = 128 / (-32)
x = - 4
True or False? A circle could be circumscribed about the quadrilateral below. c 80° A. True 95° B. False 85°
Answer:
False
Step-by-step explanation:
The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.
But,
80 + 85 < 180
100 + 95 > 180
Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ2
Hellllllpppppp meeee plzzzzz
A rectangular resort pool has a length of 45 feet and a width of 30 feet. A sitting area is attached to the pool and is in the shape of a semicircle with a diameter of 20 feet, as shown below. If the pool is filled to a depth of 5 feet and the sitting area is filled to a depth of 2.5 feet, approximately how much water is contained in both the sitting area and the pool?
Athletic Outfitters packs tennis balls into a cylinder with a diameter of 9.6 centimeters and a height of 39.5 centimeters. Each tennis ball has a diameter of 9.5 centimeters and there are 4tennis balls in each container. Approximately how much extra space is in the container?
Answer:
1 7142.699082ft³ (C)
2 1063.420642cm³ (A)
Step-by-step explanation:
Hey There!
1. So for the first one we want to find the volume of the rectangular pool and the volume of the semi cylinder
The dimension given are
length - 45
width - 30
height - 5
to find the volume we use
[tex]V=lwh[/tex]
[tex]45*30=1350\\1350x5=6750[/tex]
so the volume of the rectangular pool is 6750ft³
now we need to find the volume of the semi cylinder
the dimensions given are
diameter - 20
height - 2.5
so we find the volume by using the volume for a cylinder then dividing by 2
the volume for a cylinder formula is
[tex]V=\pi r^2h[/tex]
r = radius
h = height
to find the radius given the diameter we just divide by 2
20/2=10 so the radius is 10
now we just plug in the values and get
[tex]V=\frac{1}{2} \pi 10^22.5[/tex]
Note: the 1/2 is added because were finding the volume of a semi cylinder
[tex]10^2=100\\100(2.5)=250\\250\pi =785.3981634\\\frac{785.3981634}{2} =392.6990817[/tex]
So the volume of the sitting area is 392.6990817
Now that we have found the volume of each part we add them together to get the answer
[tex]392.6990817+6750=7142.699082[/tex]
2. For the second one we need to find the volume of the cylinder and subtract it by the volume of the tennis ball..s times 4 ( because there are 4 of them)
For the cylinder we are given the dimensions
height - 39.5
diameter - 9.5
Remember this is the formula of the volume of a cylinder
[tex]V=\pi r^2h[/tex]
r =radius
h = height
to convert diameter to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\pi 4.75^239.5\\4.75^2=22.5625\\22.565(39.5)=891.21875\\891.21875\pi =2859.100642[/tex]
so the volume of the container is 2859.100642cm³
now we need to find the volume of the tennis ball
to do this we use the formula
[tex]V=\frac{4}{3} \pi r^3[/tex]
we are given the dimensions of
diameter - 9.5
once again to convert to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\frac{4}{3} \pi 4.75^3\\4.75^3=107.171875\\107.171875\frac{4}{3} =142.8958333\\142.8958333\pi =448.9205002\\448.9205002(4)=1795.682001[/tex]
So the volume of the tennis bal...ls is 1795.682001
note: i multiplied by 4 because there are 4 tennis bal...ls
our final step is to subtract the volume of the bal...ls from the container
2859.100642-1795.682001=1063.420642
hope this helps :)
Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 2 0 2 x sin(y2) dy dx
Answer:
Step-by-step explanation:
Given that:
[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]
[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]
[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]
[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]
[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]
For which of the following graphs is y a function of x
Answer:
can you give us the whole sheet?
Step-by-step explanation:
Find the value of x pls help again XD
Answer:
B
Step-by-step explanation:
[tex]90 = 60 + 3x \\ 30 = 3x \\ x = 10[/tex]
Answer:
10
Step-by-step explanation:
Write the phrase, 6 divided by p, as an algebraic expression
divisiond i v i s i o n
6p6 over p
p6
Answer:
p/6 division
Step-by-step explanation:
How many blue cars are there?
Answer:
45% Of the cars are there
because it says 45% so I am pretty sure that is it
Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as
shown. What is the area of each slice of pizza? Who has the larger slice?
Alison 5in-W. 6inL
Tyrone 3in L. 8 W
Alison's slice of pizza has an area of in.
Answer:
The area of Alison's pizza would be 30 in.
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission
Answer:
I think it's 2000
Step-by-step explanation:
Pls somebody that knows this answer it please
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
Find the area of the shaded region
Answer:
Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .
Step-by-step explanation:
base = 40
height = 16
Area of parallelogram = b×h = 40× 16= 640
Answer:
the area of the shaded area is 160 cm ²
Step-by-step explanation:
Hey There!
so the first step in solving this problem is to find the area of the whole shape
This is a trapezoid and the formula for area of a trapezoid is
[tex]A=\frac{a=b}{2} h[/tex]
a = base 1 (20)
b = base 2 (40)
h = height (16)
now we plug in the values
[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]
so the area of the trapezoid is 480
The next step is to find the area of the triangle
To do so we use this formula
[tex]A=\frac{hb}{2}[/tex]
h = height (16)
b = base (20)
now we just plug in the values
[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]
The area of the triangle is 160
How to wright a related multiplication sentence for 1/4 divided by 5
1/4 / 5 is equal to 4x5, or 20.
---
hope it helps
In a family of four children, what is the
expected number of boys?
Boys
2.
3
4
0 1
1/16 1/4
Probability
3
3/8
1/4
1/16
Answer:
The answer is 2
For the acellus people
Step-by-step explanation:
2+2 I need help with this, please
Answer:
4
Step-by-step explanation:
2 cookies + 2 cookies = 4 cookies!
The more cookies the better!
help me help me going tight mabye next friday night going for a plane ride
What expression represents the volume of the cone, in
cubic units?
xx 3
O 2013
O 47x3
Answer:
A.
Step-by-step explanation:
Volume of a cone = ⅓πr²h
Where,
r = x
h = 2x
Plug in the values into the formula for volume
Volume = ⅓*π*x²*2x
Volume = ⅓*π*2x³
Volume = (1*π*2x³)/3
Volume = [tex] \frac{2\pi x^3}{3} [/tex]
[tex] \frac{2}{3}\pi x^3 [/tex]
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are needed?
Answer:
2 11/12 cups of flour
Step-by-step explanation:
2 recipes are 2 1/2 cups of flour
1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12
So, 2 11/12 cups of flour
Sales total : $19.000
Commission: 4.5%
What is the total amount paid?
Please do not put a link in they don’t work
Answer:
855
Step-by-step explanation:
I need help finding the perimeter to this shape, show your work so I can understand thanks
Step-by-step explanation:
there you go hope this helps you
What is the missing number? x:50 = 12:24
Answer:
Step-by-step explanation:
x/50 = 12/24
24x = 600
x= 25
Gloria has a package of gummy worms. There are four flavors of gummy worms in the package- cherry, grape, lemon, and orange,
If she finds the sum of the probabilities of picking each flavor, what should always be her answer?
the answers are 1/2 , 1 , 2 , and 10
be sure to explain to get most Brainly .
Answer:1
Step-by-step explanation:it is right
At age 17, Salma deposited $4,444 into an IRA, where it earns 9.8 % interest compounded monthly. What will it be worth when she is twenty-five?
Answer:
l
Step-by-step explanation:
...i dont know the answer
What is AC?
I NEED HELP!!!!
Answer:
its a i belive
Step-by-step explanation:
What is m
45’
80’
125’
135’
Answer:
it 125 I just worked it out
Jiya swam 200 meters more than Molly. Jiya swam a total of 800 meters. How many meters did Molly swim?
Find the probability that a randomly chosen point is located within the shaded region. Write your answer as a decimal, and
round to the nearest thousandth, if necessary.
6
3
Probability
Answer:
[tex]Probability = 0.25[/tex]
Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region
[tex]A_1 = 0.5 * base * height[/tex]
Where
[tex]base = 8cm\\ height = 6cm[/tex] --- given
So:
[tex]A_1 = 0.5 * 8cm* 6cm[/tex]
[tex]A_1 = 24cm^2[/tex]
Next, calculated the area of the complete rectangle
[tex]A_2 = Length* Width[/tex]
Where
[tex]Width = 12cm\\ Length = 8cm[/tex] --- given
So:
[tex]A_2 = 12cm * 8cm[/tex]
[tex]A_2 = 96cm^2[/tex]
The required probability is:
[tex]Probability = \frac{A_1}{A_2}[/tex]
[tex]Probability = \frac{24cm^2}{96cm^2}[/tex]
[tex]Probability = 0.25[/tex]
What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula
[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2
The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is
7x ² + 9x + 2 = 0
→ x ² + 9/7 x + 2/7 = 0
This step isn't actually necessary to begin with since the starting quadratic is easily factorized:
7x ² + 9x + 2 = (7x + 2) (x + 1) = 0
Then
7x + 2 = 0 or x + 1 = 0
7x = -2 or x = -1
x = -2/7 or x = -1
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8