find the length of the bold arc. Round your answer to the nearest tenth.
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]
Therefore, we get;
[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]
[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
Someone plz help me !
Giving brainliest
Answer:
(6,3)
Step-by-step explanation:
It will make a weird diamond shape.
Answer:
(6,3)
Step-by-step explanation:
A rhombus lis like a diamond shape so we know its going to be opposite if point B.
Point B is located 3 units above the invisible line that connects A and C.
Count down 3 units from that line and you will get your answer.
Hope this Helps!:)
Which equation could be used to find the missing value of x?
Answer:
d
Step-by-step explanation:
please help me thank you!!!
Answer:
The answer is D
Step-by-step explanation:
Answer:
A. 12 inches
Step-by-step explanation:
Set a proportion
20/27.5=x/27.5-11
27.5x/27.5=330/27.5
x=12
When Javier is 2, Arianna is 5. When Javier is 3, Arianna is 6.
When Javier is 8, Arianna will be 11. When Javier is 20, Arianna is 23.
Complete the table. Circle the letter of the equation that relates the age
of Arianna, y, to the age of Javier, x.
Answer:
Step-by-step explanation:
Arianna will always be 3 years older than Javier no matter how old he gets.
The table is given below.
The equation that relates the age of Arianna y to the age of Javier x is
y = x + 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
We can use the given information to complete the table as follows:
Javier(x) Arianna (y)
2 5
3 6
8 11
20 23
Now,
The equation that relates the age of Arianna, y, to the age of Javier, x.
We have,
y = mx + b, where m is the slope and b is the y-intercept.
We can use the first two points (2, 5) and (3, 6) to find the slope.
m = (6 - 5)/(3 - 2)
m = 1
Now,
The y-intercept,
(2, 5) = (x, y)
y = mx + b
5 = 1(2) + b
b = 3
Therefore,
The equation that relates the age of Arianna y to the age of Javier x is
y = x + 3
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HELPPP PLS !!!!!!!!!!!!!!!!!!!
(Someone Help Me Please) (Or Anyone)
Circle the expressions that are equivalent:
A. 3 (145)
B. 300 + 120 + 15
C. 3 (1 + 4 + 5)
D. 3 (100 + 40 + 5)
35/k = 7/3 what does k equal
I-
please. help.
I have a test soon and I don’t know anything please.
Answer:
The answer is √5+√3+10+2√15
Answer: [tex]\sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} }[/tex]
You need to multiply by the conjugate
To find the conjugate, first remember:
(a+b)(a-b) = a^2 - b^2 (if a and b are sqrts, this will eliminate the square roots, rationalizing the denominator)
You have √5 - √3 as the denominator
You should multiply by √5 + √3
(This will eliminate the sqrts)
Remember to multiply both the numerator and denominator
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } = \frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}}[/tex]
Now simplify
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}} = \frac{(2+4\sqrt{5})(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{5}+2\sqrt{3}+20+4\sqrt{15}}{5-3} = \sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]
HURRY WILL MAKE BRAINLEST! Given: sin(18m-12)=cos(7m+2), find the value of m.
Answer:
m = 4
Step-by-step explanation:
In order for this equation to be true, the angles must be complementary.
So, 18m- 12 + 7m + 2 = 90
25m - 10 = 90
25m = 100
m = 4
Mrs. Santos baked 25 cookies. 3 fifths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Santos bake?
Answer: 15 oatmeal cookies.
Step-by-step explanation:
There were 25 cookies baked.
Out of these, 3/5 are oatmeal cookies.
The amount of actual oatmeal cookies is:
= fraction of oatmeal cookies * total number of cookies
= 3/5 * 25
= 75 / 5
= 15 oatmeal cookies.
I need this to be done in 5 minutes
Answer: 6 is C and 7 is a
Step-by-step explanation:
Answer:
6) b. 75
7) d. 62
Step-by-step explanation:
the sides of the box are the quartiles, and the dots at the end are the range of the data. the line in the middle of the box is the center of the data.
Identify 3 characteristics of the parabola = −2^2 − 3 + 5.
Answer:
−2
Step-by-step explanation:
−22−3+5
=−4−3+5
=−7+5
=−2
PLS BRAINLIEST
marissa invested $800 at 6% per year compound interest for 3 years
Answer:
Her total would be: $944
Step-by-step explanation:
Find the measure of side a. Round to the nearest whole number.
9514 1404 393
Answer:
16 m
Step-by-step explanation:
The useful trig relation is ...
Sin = Opposite/Hypotenuse
sin(41°) = a/(25 m)
a = (25 m)sin(41°) ≈ 16.40 m
The measure of side 'a' is about 16 meters.
Choose the longer measurement
14 inches 1 foot
Answer:
tue
Step-by-step explanation:
Answer:
it 14 inch because 1 foot is 12 inches, and 14 inches is greater
Step-by-step explanation:
help please! ill mark brainliest!
Answer:
0.225989
Step-by-step explanation:
3x+9+x-11=180
4x-3=180
4x=180-3
4x/4x=177/4x
0.225989
Answer:
=78 degrees
Step-by-step explanation:
complementary angles add up to 90 degrees
A + B = 90
3x + 9 + x - 11 = 90
3x + x + 9 - 11 = 90
4x - 2 = 90
collect like valuables
4x = 90 + 2
4x = 92
x =23
angle A = 3x + 9
= (3 x 23) + 9
= 69 + 9
= 78
question is below
will give brainliest to best answer
Answer:
Step-by-step explanation:
think its c
8 - 5xt-8х - 5x
how do I solve this?
Answer:
[tex]8 - 5xt - 13x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex]8 - 5xt + ( - 8x - 5x)[/tex]
2) Simplify.
[tex]8 - 5xt - 13x[/tex]
Therefor the answer is 8 - 5xt - 13x.
Find the equation of the line.
Use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
I NEED HELP ASAP ASAP!
PLEASE HURRY AND ANSWER QUICKLY AND CORRECTLY ITS WORTH 50% OF MY GRADE!!!
Answer:
$16
Step-by-step explanation:
(3x + 4)3
How is this written in expanded form?
Answer:
(3x + 4)3
By using distributary property,
(3x × 3) + (3 × 4)
9x+12
33 points | dont guess please | no links
Answer:
Joe mama
Step-by-step explanation:
(6x10²)+(3x10³). in standard form
Answer:
3600
Step-by-step explanation:
Write the expression in expanded form.
(4.2z)(-5y-3)
What is the slope of the equation that passes through the points
(-5,4) and (5,2) ?
Answer:
[tex] - \frac{2}{10} [/tex]
or
-0.2
In ΔTUV, t = 320 inches, u = 360 inches and ∠V=81°. Find the area of ΔTUV, to the nearest square inch.
Answer:
[tex]Area = 56892in^2[/tex]
Step-by-step explanation:
Given
[tex]\triangle TUV[/tex]
[tex]t = 320in[/tex]
[tex]u = 360in[/tex]
[tex]\angle V = 81^\circ[/tex]
Required
Calculate the area
Given two sides and a middle angle, the area of a triangle is:
[tex]Area = \frac{1}{2}ab*sinC[/tex]
In this case, it is:
[tex]Area = \frac{1}{2}tu*sinV[/tex]
[tex]Area = \frac{1}{2}*320*360*sin(81)[/tex]
[tex]Area = \frac{1}{2}*320*360*0.9877[/tex]
[tex]Area = 56891.52[/tex]
[tex]Area = 56892in^2[/tex] --- approximated
Answer:
56000
Step-by-step explanation:
Every month, Mr. Jones pays his school loans through automatic payments (withdrawals) from his savings account. He pays the same amount on his school loan each month. At the end of the year, his savings account balance changed by -$3,183 from payments made on his school loan. What is the change in Mr. Jones savings account balance each month due to his school payment?
Answer:
i think the answer is 265.25
Step-by-step explanation:
because there are 12 months in a year so 3,183 ÷ 12 = 265.25
A rectangle with a width of w and a length of ? has a perimeter greater than 100.
Here is a graph that represents this situation.
Write an inequality that represents this situation.
Answer:
Let L = length
Let w = width
Perimeter = 2L + 2w
L = 100
Perimeter > 400
2(100) + 2w > 400
200 + 2w > 400 is the inequality
Subtract 200 on both sides of inequality.
2w > 200
w > 100
The width is at least 100 centimeters
The inequality that describes the perimeter of a rectangle is greater than 100 is 2(l + w) > 100.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, A rectangle with a width of w and a length of l has a perimeter greater than 100.
We know the perimeter of a rectangle is 2(l + w).
∴ The perimeter of this rectangle is 2(l + w) > 100.
learn more about rectangles here :
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Given the polynomial function: f(x)=t(x+2)^2(x-5)(x+3), what is the degree of f(x)?
Answer:
3
Step-by-step explanation: