Step-by-step explanation:
BC / EC = 21/14 = 3/2.
AC / CD = 27/18 = 3/2.
Angle ACB and ECD are congruent because they are vertical angles.
This means that triangle ABC is similar to triangle DEC by SAS.
Error Analysis Your friend says that the volume of this sphere is 44.58
m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?
Answer:
the given dimension was used as the radius5.57 m³Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
Answer:
9.31
Step-by-step explanation:
Distance = 3 ⅘ x 2.45
3 ⅘ = 3.8
3.8 x 2.45 = 9.31
If the measure of angle 4 is 70 degrees, what is the measure of angle 1?
Answer:
angle 1= 110 degrees
Step-by-step explanation:
A line = 180 degrees
Since angle 1 and 4 make a line then both of them have to equal 180 degrees.
So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.
You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.
In a basketball game, you made 4 baskets out of 12 attempts. Your teammate made 3 baskets out of 8 attemps
Answer:
4/12 and 3/8
Step-by-step explanation:
Please Help!!
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.
Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.
Enter your answer by filling in the boxes.
f(x)= -------- * ( )^x
Answer:
[tex]f(x)=500*(.057)^x[/tex]
Step-by-step explanation:
Ello can you solve #14 ty
Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
Pls help me!!! I need to find what b is??
Answer:
[tex]\frac{10 \sqrt{3} }{3} = b[/tex]
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°
We are also given that one of the legs (one of the sides that makes up the right angle) is 5
We want to find what b is
This triangle is a special right triangle, a 30-60-90 triangle
In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is [tex]\frac{b}{2}[/tex], while the leg that is opposite from the angle that is 60° is [tex]\frac{b\sqrt{3} }{2}[/tex]
In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to [tex]\frac{b\sqrt{3} }{2}[/tex]
So we can set 5 equal to [tex]\frac{b\sqrt{3} }{2}[/tex], to solve for b:
5=[tex]\frac{a\sqrt{3} }{2}[/tex]
Multiply both sides by 2
5*2=b√3
10=b√3
Now divide both sides by √3
[tex]\frac{10}{\sqrt{3} } =b[/tex]
rationalize the denominator
[tex]\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }[/tex] = b
[tex]\frac{10 \sqrt{3} }{\sqrt{9}}[/tex]= b
[tex]\frac{10 \sqrt{3} }{3} = b[/tex]
The answer can be left as that.
Hope this helps!
Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.
The Halls credit score is 2186.
We have given that,he experian score =711
his equifax score =736
his trans union score =736
What is the meaning of Hals score?
Hals credit score = sum of all score.
Hals credit score = sum of all score.
=711+736+736
=2186
Therefore, the Halls credit score is 2186.
To learn more about the credit score visit:
https://brainly.com/question/23024185
Answer:Answer is A
Step-by-step explanation:grandma told me
A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again
Answer:
7 seconds
Step-by-step explanation:
Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...
h(t) = -16t^2 +64t +336
__
This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.
0 = -16t^2 +64t +336
0 = t^2 -4t -21 . . . . . . . . divide by -16
0 = (t -7)(t +3) . . . . . . . factor the quadratic
t = 7 . . . . . . the positive value of t that makes the equation true
The ball will return to the ground after 7 seconds.
__
Additional comment
A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.
In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.
Which is the solution to the inequality?
28
8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5+ 8/15<b
9+8
2-----------=2 17/15
15
=2+ 1 2/15
=3 2/15 <b
b> 3 2/15
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5 < b - 8/15
Convert the number
2 × 5 + 3/5 < b - 8/15
10 + 3/5 < b - 8/15
13/5 < b - 8/15
Rearrange the terms
-b < -8/15 - 13/5
Transform the expression
-b < -8 - 39/15
Calculate
-b < -47/15
Divide both sides
b > -47/15 = b > 3 2/15
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Which of the following represent lengths of the sides of a
right triangle?
Select all that apply.
A 4,5,6
B 8, 15, 17
C 10, 15, 20
D
5, 12, 13
PLEASE HELP ME I CANT GET IT RIGHT
Find m∠O given m∠R = 46°.
Answer:
m∠O=67
Step-by-step explanation:
m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67
Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended warranties, he earns $1,080. how much is the fixed amount geet earns for each television?
well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.
so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.
please help me with this math! thank you!
Answer:
Heads or Tails
Step-by-step explanation:
its right there super simple.
what number is 0.1 more than 149.99
Answer:
150.09
Step-by-step explanation:
0.1 = 1/10 + 149.99= 150. the leftover of 0.09 then is finally added to 150 which then you get 150.09
Please mark brainliest!
Answer:
The answer should be 150.09
Step-by-step explanation:
Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09
Hope This Helps
Have A Great Day
~Zero~
Describe these points with a double inequality
Answer:
please make brainiest
Express the cubed root of a cubed root of the cubed root of 2 with a rational index.
Answer:
[tex]2^{\frac{1}{27} }[/tex]
Step-by-step explanation:
→ Write in number format
∛∛∛2
→ Rewrite
[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]
→ Simplify
[tex]2^{\frac{1}{27} }[/tex]
Answer:
2^(1/27).
Step-by-step explanation:
That would be [(2)^1/3)^1/3]^1/3
= 2^1/3*1/3*1/3)
= 2^(1/27)
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
3/4
Step-by-step explanation:
In total there are 8 cobblers and 6 out of those 8 are apple cobblers so the fraction would be 6/8 but in simplest form its 3/4.
3. How many 3 digit all even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
Step-by-step explanation:
Only 3 numbers are possible at units place (2, 4 & 6) as we need even number.
But at tens & hundreds place all 6 are possible
Number of 3 digit even numbers
= 3x6x6 = 108
36
Step-by-step explanation:[tex]Solution:[/tex]
[tex]6\times6=36[/tex]
[tex]such\ as:[/tex]
[tex]11\ \ \ 22\ \ \ 33\ \ \ 44\ \ \ 55\ \ \ 66\\ 12\ \ \ 21\ \ \ 31\ \ \ 41\ \ \ 51\ \ \ 61\\ 13\ \ \ 23\ \ \ 32\ \ \ 42\ \ \ 52\ \ \ 62\\ 14\ \ \ 24\ \ \ 34\ \ \ 43\ \ \ 53\ \ \ 63\\ 15\ \ \ 25\ \ \ 35\ \ \ 45\ \ \ 54\ \ \ 64\\ 16+263646+56\\ 6+6+6+6+6+6\\ =36.[/tex]
I hope this helps you
:)
3.
The height of a triangle is 4 inches shorter
than its base. The area of the triangle is 198
square inches. Find the dimensions of the
triangle
(system of equation) only 2 please thanks
Answer:
Base is equal to 22
Hight is equal to 18
Step-by-step explanation:
Because 22 × 18 ÷ 2 is equal to 198
Formula
Hight × base ÷ 2
can someone help me please. I’ll give you ratings
Answer:
(c) -0.9682
Step-by-step explanation:
In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...
sin²(A) +cos²(A) = 1
cos²(A) = 1 -sin²(A)
cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682
_____
The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.
6 6/9 divided by 1 5/7
Write an exponential function Y=ab^x for a graph that includes (-1.0,6) and (1, 15).
Answer: perimeter: 40.79
Area: 84
Step-by-step explanation:
perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 + 6 + 9 = 40.79
area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84
ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).
Answer:
y=ax, y»a
Step-by-step explanation:
that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point
Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min
Answer:
40
Step-by-step explanation:
I answered by simply looking at the equation
Vertical Angles always have equal measures.
True
False
Answer:
the answer is .....true
A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the cities?
Answer:
18 kilometers
Step-by-step explanation:
If each 1 cm represents 9 kilometers.
How many would 2 cm represent?
[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]
Let f(x)=4x^2-3 and g(x)=-x^2+2.Find f+g and state the domain. Then evaluate the sum when x=2
Answer:
f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.
f(x)=4*2^2-3, which equals 13
g(x)= -2^2+2, which equals -2
add
f+g when x=2 is 11
Step-by-step explanation:
Elena drives for 3 hours at 44mph claire drives 144miles in 4 hours how far would elena travel if she drove for 3hours at the same speed as claire?
Answer:
108 miles
Step-by-step explanation:
144m/4h = 36m/1h or 36mph
36mph · 3 = 108m