Answer:
0.3 ft DISCLAIMER
Step-by-step explanation:
DISCLAIMER: I am not 100% sure if I am correct. I think I am but there is a chance I am not. I just thought ONE answer would be better than none. Feel free to disregard this if you don't want to try.
If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce. I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3
What is the value of X
Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.
[tex]c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }[/tex]
In our problem the law of cosines is
x = [tex]\sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}[/tex]
x ≈ 23.31
The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths
Answer:
5:6
Step-by-step explanation:
To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.
[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]
5 : 6
What other properties of a kite am I missing?
Answer:
all angles are congruent
Please help me!!!
it would be greatly appreciated
Answer:
11.72
Step-by-step explanation:
6.76 + 4.96 = 11.72
Annie wants to use the problem-cause-solution order to organize a persuasive speech to reduce violence on campus. she begins by offering statistics of incidents to show that there is a need for action. what is a possible next step
The possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
What is a persuasive speech?It should be noted that a persuasive speech simply means a speech that is used to convince an individual to agree to a particular perspective.
In this case, the possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
Learn more about speech on:
https://brainly.com/question/25887038
Which expression represents 4 fifths t(negative 10 t)? –8t 46 over 5 46 over 5 –8t2
Answer:
is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.
Step-by-step explanation:
Answer:
–8t^2 or DStep-by-step explanation:
Took the test and got it right.
WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER
Answer:
(3,5)
Step-by-step explanation:
We first need to substitute x for 3 in the equation :)
y = 2(3) - 1
y = 6 - 1
y = 5
The cordinate will be (3,5)
Have an amazing day!!
Please rate and mark brainliest!!
A triangle has angles measureing 40 and 30. What is the measure of the third angle
Answer: 110 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the third angle is 180-40-30=110 degrees.
Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
$5.80
Step-by-step explanation:
butterscotch + milk
butterscotch:
$1/5 = $0.20 x 4 = $0.80
milk:
$1 x 5 = $5
$5 + $0.80 = $5.80
3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
3
hot air balloon travel in 2 hour?
4
A. 4.5 miles
B. 6 miles
C. 11.5 miles
D. 13.5 m
Answer:
B: 6 miles
Step-by-step explanation:
You divide 18 by 3 and get 6.
Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
43.78
Step-by-step explanation:
In this case, the formula for mean can be as followed:
[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]
Let the sum of all student scores for class A and class B be A and B respectfully,
For Class A,
A/28 = 34
A/28 = 34A = 952
For Class B,
B/8 = 78
B/8 = 78B = 624
Now to find the mean score of both classes using the same formula,
Mean = (952+624)/(28+8)
= 43.77777777777778
≈ 43.78
What is the surface area of a sphere with a 4 ft diameter (round to 1 decimal)?
A) 12.6 ft2
B) 16.7ft2
C) 50.2 ft2
D) 100 ft2
TSA:-
4πr²4π(2)²3.14(4)(4)16(3.14)59.24ft²What is the value of x? If necessary express your answer in simplest radical form.
A. 18
B. 20
C.4✔️2
D. 4✔️3
Answer:
B, 20
Step-by-step explanation:
The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,
a²+b²=c²
Substitute 12 and 16 for a and b, our side lengths
12²+16²=c²
144+256=400
400=c²
Square root both c and 400, which gives us...
20=c
So, the value of x is 20.
Simplify
3k - (2m + 5K) - m
Answer:
[tex]-3m-2k[/tex]
Step-by-step explanation:
Given to simplify : 3k - (2m + 5K) - m
Solution :
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(2m+5k\right)=-2m-5k[/tex]
[tex]=3k-2m-5k-m[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-2m-m+3k-5k[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-3m+3k-5k[/tex]
[tex]\mathrm{Group\;like\;terms}[/tex]
[tex]=-3m-2k[/tex]
[RevyBreeze]
Use the distributive property:-
-(2m+5k) = -2m-5k [tex]\checkmark[/tex]
[tex]\rule{270}{1}[/tex]
Let's simplify this expression by combining like terms:-
[tex]\bigstar[/tex] The like terms are:-
3k, -5k
and
-2m, -m
[tex]\bigstar{[/tex] Combine Like terms:-
3k-5k=-2k
-2m-m=-3m
Hence, we have:-
[tex]\bigstar{\boxed{\pmb{-2k-3m}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the product ?
(X-3)(2x^2-5x+1)
[tex](x - 3)(2x {}^{2} - 5x + 1)[/tex]
[tex]2x {}^{3} - 5x {}^{2} + x - 6x {}^{2} + 15x - 3 [/tex]
[tex]2x {}^{3} - 11x {}^{2} + 16x - 3[/tex]
Need help! Here's the question...
John invests £8000 for n years in a savings account.
To find the value, V ,of her investment after n years he uses the formula:
V=8000*(1.025)^n
a)Write down the annual rate of interest John earns
Answer:
the answer is 2.5%
Step-by-step explanation:
im good at math
Hope this helps!
Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
Answer:
D. [tex]\displaystyle No\:Solution[/tex]
Explanation:
The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:
[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]
The negative absolute value of an integer however, IS negative.
I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.
Segments that appear to be tangent are tangent to both circles, and CD=32. Find AC.
Answer:
x=8.4
i looked it up:)
Equations, graphs, Slopes and y-intercepts : application
Answer:
the answer to the graph is y=-4x-3
Answer:
y = -4x - 3
Step-by-step explanation:
The given line has :-
slope = -4y-intercept = (0, -3)Substituting in slope-intercept form
y = mx + by = -4x - 3Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
help.....././././////////././.
Answer:
hello, i am not sure. but the answer is between a and c
Step-by-step explanation:
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expressions
-4.4
1.2x-2.4+1.2x-2
2.4x-0.4
2.4x-4.4
Answer:
[tex]2.4x-4.4[/tex]
Step-by-step explanation:
Given the following question:
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
To simplify the expression, we are going to need to rewrite the expression by expanding the terms and then solve by using the distributive property. Then we combine like terms in till the expression can no longer be simplified to find our answer.
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
[tex]0.3(4x-8)[/tex]
[tex]0.3\times4=1.2x[/tex]
[tex]0.3\times4=2.4[/tex]
[tex]1.2x-1.2-0.5(-2.4x+4)[/tex]
[tex]-0.5(-2.4x+4)[/tex]
[tex]-0.5\times-2.4=1.2[/tex]
[tex]-0.5\times4=-2[/tex]
[tex]1.2-2[/tex]
[tex]1.2x-2.4+1.2x-2[/tex]
[tex]1.2+1.2=2.4x[/tex]
[tex]-2.4+-2=-4.4[/tex]
[tex]=2.4x-4.4[/tex]
Your answer is "2.4x - 4.4."
Hope this helps.
Write an equation to represent the following statement. The product of 7 and j is 91. Solve for j. j
Answer:
13
Step-by-step explanation:
7j=91
91/7=j
13
hope that helps:)
An equilateral triangle with side lengths of 8. 7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options. The apothem can be found using the Pythagorean theorem. The apothem can be found using the tangent ratio. The perimeter of the equilateral triangle is 15 cm. The length of the apothem is approximately 2. 5 cm. The area of the equilateral triangle is approximately 65 cm2.
The image of the triangle is missing, so i have attached it.
Also, the options are;
A) The apothem can be found using the Pythagorean theorem.
B) The apothem can be found using the tangent ratio.
C) The perimeter of the equilateral triangle is 15 cm.
D) The length of the apothem is approximately 2.5 cm.
E) The area of the equilateral triangle is approximately 65 cm².
Answer:
Options A, B & D are true
Step-by-step explanation:
A) We are told that the triangle is an equilateral triangle.
Thus, the 3 sides equal 8.7 cm.
Now from the image, b is half of one of the sides.
Thus, b = 8.7/2 = 4.35 cm
Now, we want to find the apothem "a".
Using Pythagoras theorem, we have;
a² + 4.35² = 5²
a² = 25 - 18.9225
a² = 6.0775
a = √6.0775
a ≈ 2.5 cm.
Thus, option A is true as Pythagoras theorem was able to calculate the apothem "a"
B) since the main triangle is equilateral, it means each angle is 60°.
Now, the radius line from one corner point to the center will divide the 60° angle into 2 equal parts.
Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°
Now, from tangent ratios, we know that;
Opposite/Adjacent = tan θ
In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm
Thus;
a/4.35 = tan 30
a = 4.35 tan 30
a ≈ 2.5 cm.
Thus, option B is correct as Tangent ratio can be used to find the apothem
C) The perimeter of equilateral triangle = 3x
Where x is length of one side.
One side is 8.7 cm
Thus, perimeter = 3 × 8.7 = 26.1 cm
Thus option C is not correct.
D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.
Thus, option D is true.
E) Area of triangle is;
A = ½ × base × height
Base = 8.7 cm
To get height, we will use trigonometric ratio. Thus;
h/8.7 = sin 60°
h = 8.7 sin 60°
Thus;
A = ½ × 8.7 × 8.7 sin 60°
A = 32.77 cm²
Thus is not equal to 65 cm². Thus, option E is not correct.
The statements that are true for the considered equilateral triangle are:
Option A: The apothem can be found using the Pythagorean theorem.Option B: The apothem can be found using the tangent ratio.Option D: The length of the apothem is approximately 2. 5 cm.For a regular polygon, the apothem is the line segment from the center of the polygon to the mid of one of the sides of the considered polygon.
For this case, referring to the figure attached below, we have:
Length of the apothem = x (assume)The triangle ABC is equilateralLength of line segment from vertex to center (radius) = 5 cmLength of each side of the triangle = 8.7 cmSince the triangle is equilateral, there can be 6 congruent triangles like BOD.
Thus, Area of triangle ABC = 6 × Area of triangle BOD
Area of BOD = [tex]\dfrac{1}{2} \times x \times 4.35 = 2.175x \: \rm cm^2[/tex]
Area of ABC = [tex]6 \times 2.175x = 13.05x \: \rm cm^2[/tex]
The length of the apothem is x cm, and can be obtained by using Pythagoras theorem.
We can also use the tangent ratio as the line segment BO is bisecting the internal angle B (each internal angle is of 60 degrees in an equilateral triangle), so angle OBD is of 60/2 = 30 degrees. So using angle and the fact that tangent ratio is ratio of side opposite to angle and the remaining adjacent side(not hypotenuse).
[tex]tan(30^\circ) = x/4.35 \implies x = 4.35 \times \tan(30^\circ) \approx 2.5 \: \rm cm[/tex]
Using Pythagoras theorem too, we can get the value of x as:
[tex]5^2 = 4.35^2 + x^2\\x = \sqrt{25 - 18.9225} \approx 2.465 \: \rm cm \approx 2.5 cm[/tex]
Thus, area of the equilateral triangle ≈ [tex]13.05 \times x \approx 13.05 \times 2.5 = 32.575 \: \rm cm^2[/tex]
This isn't 65 sq. cm.
Thus, the statements that are true for the considered equilateral triangle are:
Option A: The apothem can be found using the Pythagorean theorem.Option B: The apothem can be found using the tangent ratio.Option D: The length of the apothem is approximately 2. 5 cm.Learn more about tangent ratio here:
https://brainly.com/question/14169279
Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
please slove
10^3⋅10^4/10^5
Answer:
100
Step-by-step explanation:
10^3= 10x10x10= 1000
10^4= 10x10x10x10= 10000
10^5= 10x10x10x10x10= 100000
( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.
ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one
step 2 solve
1000x10000/100000= 100
Answer:
10^2
Step-by-step explanation:
10^3⋅10^4/10^5
add the exponents when multiplying
10^7/10^5
subtract the exponents when dividing
10^2
how do I simplify this expression
3x+4+2x+7
Step-by-step explanation:
3x + 4 + 2x +7
= 3x + 2x + 4 + 7
= 5x + 11
The two figures shown below are similar. What is the value of x?
12
24
19
30
Answer: 24
Step-by-step explanation:
Corresponding sides of similar figures are proportional.
The figure shown is composed of 4 identical cubes.
Find the surface area.
the only thing that they show me was that on the bottom of a cube was 2 in
Answer:
i think the surface would be 2
help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer