Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
A Ferris wheel car moves from point C to point D on the circle.
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.
The diameter is 15 feet.
The arc length is determined by using the formula
L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r
L = ( 45 / 360) * 2 * 3.14 * r
r = diameter / 2
r = 15/2 = 7.5 ft
L = ( 45 / 360) * 2 * 3.14 * 7.5)
L = 5.8875 ft
L = 5.89 feet.
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Please help and show the formula used, along with all substitutions and calculations needed
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
In a group of 20 students there are 11 girls what is the ratio of boys to girls
Answer:
9:11
Step-by-step explanation:
subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?
Need an answer fast
========================================
Explanation:
distance = rate*time
90 = r*t
where r is the slower speed and t is the time it takes when going that slower speed.
If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is
90 = (r+24)(t-12)
-------------------------------------
We can solve the first equation for r to get r = 90/t
Then plug this into the second equation and do a bit of algebra
90 = (r+24)(t-12)
90 = (90/t+24)*(t-12)
90 = 90 - 1080/t + 24t - 288
90t = 90t - 1080 + 24t^2 - 288t
0 = 90t - 1080 + 24t^2 - 288t-90t
0 = 24t^2 - 288t - 1080
24t^2 - 288t - 1080 = 0
If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.
We'll ignore the negative t value. It makes no sense to have a negative time.
So we focus on t = 15 as the only solution.
-------------------------------------
If t = 15, then,
r = 90/t
r = 90/15
r = 6
Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.
If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.
[tex](x - 7)(x - 5)[/tex]
Step-by-step explanation:
X=7 or x=5
It might be two answer to this question
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 7) (x - 5)}[/tex]
[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]
[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]
[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]
[tex]\large\textsf{x(-5) = \bf -5x}[/tex]
[tex]\large\textsf{-7(x) = \bf -7x}[/tex]
[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]
[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]
[tex]\mathsf{-5x -7x = \bf -12x}[/tex]
[tex]\mathsf{x^2 - 12x + 35}[/tex]
[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitirite1040:)}[/tex]
help fast please lol
Answer:
Between 0 and 3: decreasing
Between 3 and 4: constant (stays the same)
Between 4 and 8: decreasing
Step-by-step explanation:
The diameter of a circle in 5in.find its area to the nearest tenth
9514 1404 393
Answer:
19.6 in²
Step-by-step explanation:
The area in terms of the diameter is given by ...
A = (π/4)d²
A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²
When testing the difference between two independent population means, the sample variances are pooled to estimate the population variance when ________. Multiple Choice the population means are known the population variances are assumed equal but unknown the population variances are assumed unequal and unknown the population variances are known and equal
Answer:
the population means are known the population variances are assumed equal but unknown
Step-by-step explanation:
If σ1= σ2 (= σ) but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by
Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2
So first assumption is correct.
When the population variances are assumed unequal and unknown
If σ1 ≠ σ2 but unknown
we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.
S(x1`- x2`) = √s1²/ n1 + s2²/n2
So this is does not apply here.
Wesley made 3/4 of a liter of hot chocolate. Each mug holds 3/8 of a liter. How many mugs
will Wesley be able to fill?
Answer:
2
Step-by-step explanation:
you have to dived 3/4 by 3/8= 24/12=2
help please i need it
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
Someone please help me thank you
Answer:
[tex]y=-\frac{1}{3}x+-7[/tex]
Step-by-step explanation:
The graph shows a negative slope with 3 units in between each point.
Every 3 x-units, the y-unit goes up once.
If the area of the parallelogram ABCD is 570 square meters, find the height.
Answer:
Height of parallelogram = 30 meter
Step-by-step explanation:
Given:
Area of parallelogram = 570 square meters
Find:
Height of parallelogram
Computation:
Base of parallelogram = 19 meter
Area of parallelogram = Base of parallelogram x Height of parallelogram
570 = 19 x Height of parallelogram
Height of parallelogram = 570 / 19
Height of parallelogram = 30 meter
plzplzplzhelpmeeeeeeeeee
Answer:
A = 7
Step-by-step explanation:
√50 = 7.07
approximating it will give you
= 7
hey! i’ll give brainliest please help
Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
Answer:
348 US and 294 Foreign
Step-by-step explanation:
642 - 54 = 588
588 /2= 294
294+54=348
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
Prove the identity
1. cot²x= csc²x-1
2. sin x tan x= sec x - cos x
Answer:
Step-by-step explanation:
Hope this helps u!!
In △ E F G △EFG, K K is the centroid. If K J = 7 KJ=7, find F K FK. E J G I F H K
I need help on this. it would really help me alot
Answer:
23.31 ft
Step-by-step explanation:
Tan y= opposite÷adjacent
tan 47= 25÷ x
tan 47 • x = 25
x= 25÷ tan 47
x= 23.31 ft
HOPE THIS HELPS!
How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet
Answer:
pointing towards the top
Step-by-step explanation:
1.5 feet long 2.5 feet wide the suitcase is so straight
HOPE OT HELPS
PLS HELP I NEED THIS DONE ASAP AND IT IWLL MEAN ALOT AND ILL MAKRK U AS BRAINLIST ITS 6TH GRADE GEOGRAPHY
Answer:
The area of the shaded polygon is 31 square units.
Step-by-step explanation:
The procedure to calculate the area of the shaded irregular polygon is described below:
1) Calculate the area of the initial rectangle.
2) Calculate the areas of the four triangles.
3) Subtract the areas of the four triangles from the initial triangle.
[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]
[tex]A = 31[/tex]
The area of the shaded polygon is 31 square units.
solve this step by step using the quadratic function
y=x^2 +x+2
Answer:
x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Step-by-step explanation:
Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex] )/2a
x^2+x+2-y=0
x=-1+[tex]\sqrt{1^2-4(2-y)}[/tex] /2
x=-1+[tex]\sqrt{4y-7}[/tex] /2
x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Pretty sure this is right. Would appreciate a brainliest
(04.01)Which unit rate is the lowest price per ounce?
Choice A: 15 ounces of chocolate chips for $2.49
Choice B: 20 ounces of chocolate chips for $3.32
O Choice A
Choice B
The unit rates are equal.
O the unit rates cannot be determined.
Harry buys a waffle maker priced at $48. If the sales tax is 9%, how much tax will Harry pay?
Answer:
2325
Step-by-step explanation:
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Eight trials are simulated. The results are shown in the table.
Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
± =
2.897
This should be you're anwser.
attracting geometry genius’s
Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree
Find the value of x in the figure.
Answer:
x=28
Step-by-step explanation:
[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A model of a car is built with a scale of 1 inch : 4 feet. If the length of the model car is 2.7 inches, then the length of the car is how much feet?
Answer: [tex]10.8\ ft[/tex]
Step-by-step explanation:
Given
A model car is built with a scale of 1 inch: 4 feet
If the length of the model car is 2.7 inches
Suppose the length of the car is l
[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]
Therefore, the length of the car is [tex]10.8\ ft[/tex]
A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd
and 154 are even. The number 8 was generated 22 times.
What is the experimental probability of an even number other than 8 being generated? Write your answer as a
decimal to the nearest hundredths place.
O 0.23
O 0.35
O 0.44
O 0.52
The experimental probability of an even number other than 8 being generated is, 0.44
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Total number of numbers = 300
Number of even numbers = 154
Number of eight = 22
Hence, Number of even numbers other than 8 is,
154 - 22 = 132
Thus, Probability is,
= [number of even numbers other than eight] / [total number of numbers]
= 132/300
= 0.44
Thus, The experimental probability of an even number other than 8 being generated is, 0.44
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