Answer:
y = 3/2x + 13
Step-by-step explanation:
y = 3/2x + b
4 = 3/2(-6) + b
4 = -9 + b
13 = b
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Answer:
[tex]\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}[/tex]
Step-by-step explanation:
The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2\pi r[/tex]. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle [tex]\theta^{\circ}[/tex] is equal to [tex]2\pi r\cdot \frac{\theta}{360}[/tex].
Formulas at a glance:
Circumference of a circle with radius [tex]r[/tex]: [tex]C=2\pi r[/tex] Length of an arc with central angle [tex]\theta^{\circ}[/tex]: [tex]\ell_{arc}=2\pi r\cdot \frac{\theta}{360}[/tex]Question 1:
The radius of the circle is 12 m. Therefore, the circumference is:
[tex]C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}[/tex]
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
[tex]\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}[/tex]
Question 2:
In the circle shown, the radius is marked as 2 miles. Substituting [tex]r=2[/tex] into our circumference formula, we get:
[tex]C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}[/tex]
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
[tex]\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}[/tex]
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
The names of every month are written on separate pieces of paper and put into a basket. You draw a piece of paper at random. Find P(month beginning with the letter J).
A) 1/6
B) 1/3
C) 1/12
D) 1/4
Answer:
D
Step-by-step explanation:
Total Number of months = 12
How many start from J = 3
Probability= 3/12
= 1/4
Answer from Gauthmath
find the missing length indicated
Answer:
119?
Step-by-step explanation:
a polyhedron has 6 faces and 6 vertices. how many edges does it have?
Answer:
a polygon has 3 or more sides
please help me asap:)
will give brainliest to the correct answer
Answer:
A=29.12ft^2
Step-by-step explanation:
first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:
area of a triangle: 1/2bh
1/2(6)(8)=24ft^2
area of a circle: πr^2
(**we're using 3.14 instead of pi, and it's a semicircle)
1/2(3.14)(4)^2
1/2(3.14)(16)
1/2(50.24)
25.12ft^2
total area of the figure:
24+25.12=29.12ft^2
Answer: 49.12 ft²
Step-by-step explanation:
This figure is composed of
a half-circlea right triangleFirst, find the area of the half-circle.
The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2
π = pi ≈ 3.14r = radius = 8/2 = 4 ftTherefore, the area of the half-circle is:
(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²
Second, find the area of the right triangle.
The area of a triangle = ½bh.
b = base length = 6 fth = height = 8 ftTherefore, the area of the triangle is:
½ · 6 · 8 = ½ · 48 = 24 ft²
Add the two areas together:
24 + 25.12 = 49.12 ft²
Find the value of the indicated angle. Justify your answer.
Answer:
x=15
Step-by-step explanation:
The first triangle
90+2x+4x=180
90+6x=180
6x=90
x=15
Could someone walk me through this problem please?
yeah me too can someone help us?hope someone helps :)
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answer:
the bottom one
Step-by-step explanation:
and im doing the same testing site for summer school lol
Solve for 4
NEED HELP ASAP
Answer:
32 = <4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
15+17 = <4
32 = <4
Find the missing length indicated
Answer:
x= 135
Step-by-step explanation:
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
Which table of ordered pairs represents a proportional relationship?
-3
y
3
2
1
-5
1
O
داده |
-5
oh w
х
-2
-4
-6
-5
-7
-9
立
-2
-3
y у
0
-1
Answer:
second x -1,-3,-5 y 1 3 5 for proportional relation
howe do I solve it 5=n/5+8
Answer:
n=-15
Step-by-step explanation:
5=n/5+8
subtract 8 on both sides
-3=n/5
multiply 5 on both sides
-15=n
A right cylinder has a radius of 5 and a height of 9. What is its surface area?
Answer:
B. 140π units²
Step-by-step explanation:
Surface area of a cylinder:
2πrh + 2πr²
2π(5)(9) + 2π(5²)
90π + 50π
140π
Answer:
The correct answer is 140 pi units ^2.
Step-by-step explanation:
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
The questions given in the pdf are these pictures, then we can get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
Be sure to show your work and solve for n:
25 = n + 8 + 11
Answer:
n=6
Step-by-step explanation:
25=n+8+11
25=n+19
-n=19-25
-n=-6
n=6
Find the sum of first five multiple of 5
Answer:
75
Step-by-step explanation:
The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
Answer:
smaller number - 7
greater number - 8
Step-by-step explanation:
let a = smaller number
a + 1 = greater number
the following equation can be derived from the question
(5 x a) = 3 + 4(a + 1)
5a = 3 + 4a + 4
5a = 7 + 4a
5a - 4a = 7
a = 7 = smaller number
a + 1 = 7 + 1 = 8 = greater number
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
Me ajudem pfvr!!!!....
Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85
what is the solution to the equation?
[tex] \frac{2 }{x} - \frac{x}{x + 5} = \frac{10}{ {x}^{2} + 5x } [/tex]
a. 0
b. 2
c. 0 and 2
d. no solution
Answer:
Hello,
answer B
2
Step-by-step explanation:
[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]
Which of these is an example of an output?
A
swiping on phone screen
B
the notification sound of a text message
C
typing on a keyboard
D
talking into a microphone
Answer:
d talking into microphone
The distances in miles driven by a sample of nine different cars using 13 gallons of gasoline were 174, 201, 271, 208, 196, 340, 214, 236, and 385. Find the mean and the standard deviation for the distances traveled. How many cars fall within one standard deviation of the mean?
When You order the numbers you get
174 196 201 208 214 236 271 340 385
To get the mean, you add up all the numbers
Sum:2225
Then you divide it by how many test subjects there are (9 cars)
2225÷9=247.222222222 Which is your mean
Q1 is between 196 and 201
Q3 is between 271 and 340
If you get the mean of both, Q1 would be 198.5 and Q3 is 305.5
The amount of cars between them is 6
Can y’all help me with this answer ASAP
Answer:
sqrt(24)
Step-by-step explanation:
The number is slightly less than 5
We know that 5^2 =25
sqrt(25) = 5
so the number has to be less that sqrt(25)
The only number less than sqrt(25) is sqrt(24) and sqrt(20)
sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)
In one afternoon, Brian sold 25% of his chocolate bars. If he had 72 bars left, how many chocolate bars did he have to begin with?
Answer:
96 chocolate bars
Step-by-step explanation:
If Brian sold 25% of his chocolate bars and now he's left with 72, let's subtract 25% from 100%.
100% - 25% = 75%
Now, let's set up the equation & solve:
1. Set up Equation
75/100 = 72/x2. Cross-Multiply
75/100 = 72/x75 · x = 72 · 10075x = 72003. Divide both sides by 75
75x = 720075x/75 = 7200/75x = 96Therefore, Brian started with 96 chocolate bars.
Answer:
96 bars
Step-by-step explanation:
100% - 25% = 75%
[tex]\frac{75}{100}[/tex] = [tex]\frac{72}{x}[/tex]
x = [tex]\frac{100*72}{75}[/tex] = 96 bars