We know that the two angles are equal, so we can set the two equations for the angles equal to each other and solve for [tex]x[/tex]:
[tex]3x - 6 = 2x + 8[/tex]
Let's move the terms with [tex]x[/tex] in them to the left side and the constants (just numbers) to the right side of the equation.
[tex]3x - 2x = 8 + 6[/tex]
[tex]x = 14[/tex]
can someone ply help meeeeeeeeee
Answer:
1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b
Step-by-step explanation:
1- π radians = 180°
so 3π/10=(3*180)/10=54°
2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:
x=arc length of HN
150/360=x/2πr
5/12=x/2*6π
5/12=x/12π
12*5π=12x
x=5π
3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:
a=area of the shaded region
30/360=a/πr^2
1/12=a/36π
36π=12a
a=3π
4- a slice of a 16 inch pizza has an area of 64π/8=8π
two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π
therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.
5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2
h=x-coordinate of the center point k= y-coordinate of the center r=radius
in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6
we plug in
(x – 11)^2+ (y – 6)^2=36
6- h=7 k=-6 so the center is (7,-6)
radius=5
8- center=(1,3) and radius=2
so the graph that corresponds to these values is b
What is the image of the point (3, -2) under a dialtion with a scale factor of 4 with respect to the origin?
Answer:
(12,-8)
Step-by-step explanation:
scale factor is 4
(x,y)=(4x,4y)
(3,-2)=(12,-8)
Please help this is due tomorrow
[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]
[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]
Therefore, (1/7)³ = 1/343, implying that the answer is option (D).
Hope it helps. :)
Answer:
D, 1/343
Step-by-step explanation:
the present price of a car is 33750 every year the price decreased by 4% find the price of a car after 4 years
Answer: 28,665 currency units
Step-by-step explanation:
Find the value of the car after 4 years using the Future value formula:
= Amount * ( 1 + rate) ^ no. of years
= 33,750 * ( 1 + (-4%))⁴
= 33,750 * 0.84934656
= 28,665.45
= 28,665 currency units
Look at this graph: What is the equation of the axis of symmetry?
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...
x = -6
Area of parts of circles
You might need: Calculator
2
Find the area of the semicircle.
Either enter an exact answer in terms of or use 3.14 for T and enter your answer as a decimal.
units
Solve for x
2 (x + 1) = -200 x= 66
2x + (-3) = = (-23) x=
X - 3 = (-9) x=
(-3x) - 5 = 16 x=
-4 (y - 2) = 12 x=
4x = (-28) x=
2x + 9 = (-15) x=
X + 5 = 18
3 (x+ 5) = 18
3x + 5 = 18
2 (x + 5) = 16
3 (y + 200) = 3000
20.8 = 4 (z + 1.1)
3 (x + 4.5) = 36
9 = 3 (x + 2)
2x + 16 = 50
14 = 2 (x + 3)
5x + 2 = 17
Answer:
---------
Step-by-step explanation:
x-3= -9
x= -9/ 3
x= -3
( -3x)-5 =16
-3x = 16+5
×= 21/-3
x = -7
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find x.
Answer:
x = 14
Step-by-step explanation:
4x - 4 + 4x - 4 + x = 118
9x - 8 = 118
9x = 126
x = 14
20.
The size of a packet of pasta is increased by one-quarter.
The new size is later reduced by one-quarter.
is the new packet smaller, the same size or larger than the original?
Explain how you worked out your answer.
Answer: Smaller
Step-by-step explanation:
Multiplying a number by 1.25 increases it by a quarter
Multiplying a number by 0.75 decreases it by a quarter
1.25 / 0.75 = 0.9375
Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.
A carpenter wants to make a ladder, but he want to calculate the required wood for it. The distance between each step is 1 foot Price of wood is 500 per foot calculate the price of wood as well. Example: Input: Output: Enter the length of ladder in foot: 25 Enter the width of ladder in foot: 2 Required wood in foot: 98 Cost of wood is: 49000
Answer:
Part A
The required wood for the ladder is 98 feet
Part B
The cost of the wood is 49,000
Step-by-step explanation:
Part A
The dimensions of the ladder to be made with wood are;
The distance between each step of ladder = 1 foot
The length of the ladder = 25 feet
The width of the ladder = 2 feet
The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet
The required wood for the ladder = 98 feet
Part B
The cost of the wood = 500/foot × 98 feet = 49,000
The cost of the wood = 49,000
Find a 12 in the sequence -1, -3, -9, -27, ...
Answer:
multiple by -3
and that will be the answer
Ryan has a big project to complete in science. He needs at
least 5 days to complete his project. Write an inequality to
describe the amount of days Ryan needs to complete his
project
Answer:
On which topic is he making?
Answer:
d ≥ 5Step-by-step explanation:
Let the number of days is d.
Required inequality is:
d ≥ 5Can someone help me?
Answer:
0 h= 0 mi
1 h = 60 mi
2 h = 120 mi
3 h = 180 mi
write an explicit formula for an, the nth term of the sequence 11,2,-7
Answer:
[tex]a_{n}[/tex] = 20 - 9n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 11 = - 7 - 2 = - 9
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = - 9 , then
[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n
watatatatatta
0 pts haha
Solve for x and find the measure of each exterior angle.
Answer it ASAP! plss
Step-by-step explanation:
x = 15 as sum of exterior angles is 360⁰
pur value of x and get each answer
I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?
lowest common multiple and highest common multiple factor for 100 and 132
Answer:
LCM= 3300
HCF=4
Step-by-step explanation:
A running track has two semi-circular ends with radius 25m and two straights of length 87.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
The total distance around the track is 332.2 meters
How to calculate the total distance?The complete question is in the attached image
The given parameters are:
Radius, r = 25 m
Length, l = 87.6 m
Start by calculating the circumference of the two semi-circular ends using:
[tex]C = 2\pi r[/tex]
So, we have:
C = 2* 3.14 * 25
Evaluate
C = 157
The total distance around the track is then calculated as:
Total = 2l + C
This gives
Total = 2 * 87.6 + 157
Evaluate
Total = 332.2
Hence, the total distance around the track is 332.2 meters
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
In ABC with the right angle at vertex C, sin(b)= (26)/8. What is sin(a)?
Answer:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
Anybody know this. Need help please!!!!
In circle A as shown below, segment DC is tangent to circle A at D. Also, DC = 4 and BC = 2
Find the length of the radius of circle A
A. 3
B. 5
C. 6
D. 12
please help!!!
Answer:6
Step-by-step explanation:
malia and her sister walk at a constant rate of 4 miles per hour how far can malia and her sister walk in 1.5 hours
please i need help now.
Can you please answer the question?
simplify the rational expression. state any excluded values. 3x-7 over x-2
Step-by-step explanations
(3x - 6) ÷( x - 2) = (3x - 6)
( x - 2)
= 3( x - 2)
1( x - 2)
=. 3
Answer:
Step-by-step explanation:
This rational expression is:
3x - 7
---------
x - 2
There's one excluded value, which is 2. If x = 2 the expression is undefined.
Please help me please!
plss help i’ll give brainliest thank you!
Answer:
p
Step-by-step explanation:
Absolute value cancels negative so the greatest would be P.
have a nice day and i hope this helps! <3
Find the lateral area of this cone.
Step-by-step explanation:
lateral surface area here = πrl
r = 10
l = √h²+r²= √ 24²+ 10² = 26
lateral surface area = 10 × 26 × π
= 260π in²
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
Answer:
The lateral area of cone is 260π in².
Step-by-step explanation:
Given : [tex]\small\blue\bull[/tex] Height of cone = 24 in.[tex]\small\blue\bull[/tex] Radius of cone = 10 in.[tex]\begin{gathered}\end{gathered}[/tex]
To Find : [tex]\small\blue\bull[/tex] Slant height of cone [tex]\small\blue\bull[/tex] Lateral surface area of cone[tex]\begin{gathered}\end{gathered}[/tex]
Using Formulas :[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]
[tex]\pink\star[/tex] l = slant height [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] h = height[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]
[tex]\pink\star[/tex] La = Lateral area[tex]\pink\star[/tex] π = 3.14 [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] l = slant height[tex]\begin{gathered}\end{gathered}[/tex]
Solution :Finding the slant height of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]
Hence, the slant height of cone is 26 in.
[tex]\begin{gathered}\end{gathered}[/tex]
Now, finding the lateral area of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]
Therefore, the lateral area of cone is 260π in².
[tex]\rule{300}{2.5}[/tex]
If the corner that the Hebron Bank is located on measures , what is the measure of the corner where the Pepsi Plant is located? What word describes this relationship?
Please help me!!
1. Hebron bank). 2.hospital 3.pizza city 4. Jimmy Girll
A drawing of a house is 8.5 inches tall. Enter the height of the house in feet.
HELP PLSSSS I REALLY APPRECIATE IT!
Answer:
.70833
Step-by-step explanation:
Divide 8.5 by 12 since there are 12 inches in 1 foot
Answer:
.71 feet
Step-by-step explanation:
If you need an explanation then let me know in comments
2 (-3x-4) >16
Solve the inquality for X
Answer:
x < -4
Step-by-step explanation:
2(-3x - 4) > 16
-6x - 8 > 16
-6x > 16 + 8
-6x > 24
-x > 4
x < -4
Answer:
x < -4
Step-by-step explanation:
2(-3x - 4) > 16
Distribute.
-6x - 8 > 16
Add 8 to both sides.
-6x > 24
Divide by -6. When dividing by a negative, flip the sign.
x < -4.
there are 45 students In a class if 60% of them are girls and 40% of them are boys find the number of girls and boys
Answer:
27 girls and 18 boys
Step-by-step explanation:
you need to divide the 45 pupils into 60 and 40 percent to