Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40
The value of cos(x) that supports Steve's claim is 1/√10
SOH CAH TOA identityGiven the following trigonometry identity
tan(x) = 3
According to the theorem;
tan x = opposite/adjacent = 3/1
Opposite = 3
Adjacent = 1
Determine the hypotenuse
hyp = √3² + 1²
hyp = √10
Since cos(x) = adj/hyp
cos(x) = 1/√10
Hence the value of cos(x) that supports Steve's claim is 1/√10
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If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches
Answer:
B
Step-by-step explanation:
=zxu
=4x3
12 square units
(z+v)x (y-u)
(4+4)x (8-3)
=8x5
=40 square units
(z+v)-x
(4+4)-7
8-7
=1 unit
(w+u)-y
(7+3)-8
10-8
2units
=0.5×1×2
= 1 square unit
=12+1+40
=52+1
=53 square units
Answer:
B. 53 square inches
Step-by-step explanation:
The attached figure is drawn to scale, and a grid is provided that makes it easier to see the dimensions of the various parts.
This figure can be easily decomposed into an overall rectangle with cutouts of a trapezoid at the top and a rectangle at the bottom right.
__
The overall rectangle has dimensions 8 units wide and 10 units high.
The trapezoid at the top has bases of 8 units and 7 units, and a height of 2 units.
The rectangle at the bottom right has dimensions of 4 units wide and 3 units high.
The area formulas for a rectangle and trapezoid are ...
A = LW . . . . area of a rectangle with length L, width W
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
__
Then the area of the figure is ...
figure area = overall rectangle - trapezoid - lower right rectangle
= (8 in)(10 in) - 1/2(7 in + 8 in)(2 in) -(4 in)(3 in)
= 80 in² -15 in² -12 in² = 53 in²
The area of the object is 53 square inches.
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. scale factor =
The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
Side of the first triangle = 8cm
Side of the second triangle = 64cm
What is a scale factor?A scale factor is a number by which the size or dimension of an object is enlarged or diminished.
For example, if an equilateral triangle with a side x is dilated by a scale factor of 2, the enlarged size of the side will be 2a.
So, scale factor = side of the second triangle/ corresponding side of the first triangle.
Scale factor = 64/8
Scale factor = 8
Therefore, The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
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Answer:
8 I did the assignment
Step-by-step explanation:
What is the value of X
Using sines
sin alpha= a/c
sin 23° = x/13
x= sin 23° ×13
x≈ 5.08
Pleassee helpp, find X.
x=37.5
if you need an explanation i can type it in the comments
Use multiplication or division to find the missing number
2/5 = ?/15
HELP IVE BEEN ON THIS QUESTION FOR HOURS!!
god bless you and your family if your reading this .
What is 2/5 of 15?
Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!
How to Calculate the Fraction of a Whole Number
How to Calculate the Fraction of a Whole Number
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
15
1
So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
2 x 15
5 x 1
=
30
5
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.
We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
30/5 = 6
5/5 = 1
When we put that together, we can see that our complete answer is:
6
1
The complete and simplified answer to the question what is 2/5 of 15 is:
6
hope this helps
Missing number is 6
Set up the proportion
[tex] \frac{2}{5} = \frac{x}{15} [/tex]
Cross multiply to get 5x=30.
Divide both sides by 30 to get the answer
5x÷5=30÷5
x=6
The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...
Based on the scores in the final exam, the five number summary of the class is:
Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?The minimum is the smallest score of 60. The maximum will be the largest score of 98.
The lower quartile can be found by the formula:
= (Second score + Third score) / 2
= (65 + 78) / 2
= 71.5.
The upper quartile is:
= (Third to last score + Second to last score) / 2
= (93 + 95) / 2
= 94
The median is:
= (5th score + 6th score) / 2
= (82 + 88) / 2
= 85
Find out more on the five number summary at https://brainly.com/question/24809873.
Reflect the shape A in the line x=-1
What are the coordinates of the vertices of the image?
please answer random who answered my last question
Answer:
(-5,3) (-7,3) (-5,6)
Step-by-step explanation:
So the line x= -1 is also a vertical line but this time it passes through the point (-1,0).
I hope this helps!!
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards brandon currently uses. card a card b amount $1,463.82 $1,157.98 apr 13% 17% monthly payment $24.60 $22.14 after 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44 please select the best answer from the choices provided. a b c d
The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.
The table below shows the information about the two credit cards Brandon currently uses.
Cards Amount APR Monthly PaymentCard a $1,463.82 13% $24.60Card b $1,157.98 17% $22.14
Interest rate for the card a is,
[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]
The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,
[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]
In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,
[tex]P_a=19.47\times96=1869.12[/tex]
For the card B the monthly payment is $22.14. Thus the total payment by card B is,
[tex]P_b=22.14\times96=2125.44[/tex]
The difference in the payment is,
[tex]d=2125.44-1869.12\\d=256.12[/tex]
Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
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Answer:
C. 256.32
Step-by-step explanation:
at the clothing store 1/8 of the plots arch shirts of the shirt .1/4 are green what fraction of the clothing and the store are green shirts
Answer:
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.
So sorry to ask another question but I need some help-
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet. What is the perimeter of the triangle?
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
Help!!!!!!!!!!!!!!!!!!!!!!! Pleaseeeeee
Answer:
C) 43.96
Step-by-step explanation:
1. Use the formula to find the circumference of a circle whic is C= πR
2. First multiply the radius (7 in) by 2
3. 7 x 2 = 14
4. Then multiply 14 by 3.14
5. 14 x 3.14 = 43.96
5. There's your answer :)
Hope this helps :)
a) What is the size of angle ABC?
b) Use your answer to part a) to work out the size of reflex angle CBD.
Give your answers to the nearest degree.
Answer:
a. 120 Degrees
b. 180-120=60 60 Degrees
Step-by-step explanation:
A straight line has a maximum of 180 degrees.
ABC is 120, so CBD is 60
a) The size of angle ABC is 120 degrees.
b) The size of reflex angle CBD is 240 degrees.
a) The size of angle ABC is 120 degrees by inspecting at the protractor and counting from 0° 1o 120°
Reflex angles are formed by extending one of the sides of an angle beyond the straight line, creating an angle greater than 180 degrees. They can be visualized as the "extra" portion of a rotation around a point, beyond the 180-degree mark
b) To determine the size of reflex angle CBD, consider that a reflex angle measures more than 180 degrees but less than 360 degrees. Since angle ABC is 120 degrees, subtract this angle from 360 to find the remaining measure of the reflex angle CBD.
Reflex angle CBD = 360 degrees - 120 degrees
= 240 degrees.
Therefore, the size of reflex angle CBD is 240 degrees.
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Find the length of the third side if necessary right in the simplest radical form
Answer:
√89
Step-by-step explanation:
The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...
c² = a² +b²
c² = 5² +8² = 25 +64 = 89
c = √89 . . . . the length of the third side
Answer:[tex]\sqrt{89}[/tex]
Step-by-step explanation:
opposite=8
Adjacent=5
Hypotenuse= ?
Using pythagoras theorem,
[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]
[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]
[tex]Hyp^{2}[/tex]=64 +25
[tex]Hyp^{2} =89[/tex]
Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse
Hyp=[tex]\sqrt{89}[/tex]
what are two numbers that multiply to 64 and add to - 20
Answer:
-4 and -16
Step-by-step explanation:
Let x = first number
Let y = second number
Given:
The two numbers multiply to 64⇒ xy = 64
Given:
The two numbers add to -20⇒ x + y = -20
Rewrite x + y = -20 to make x the subject:
⇒ x = -20 - y
Substitute into xy = 64 and solve for y:
⇒ (-20 - y)y = 64
⇒ -20y - y² = 64
⇒ y² + 20y + 64 = 0
⇒ (y + 4)(y + 16) = 0
⇒ y = -4, y = -16
As x + y = -20
If y = -4 then x = -16
If y = -16 then x = -4
Therefore, the two numbers are -4 and -16
Let they be a and b
a+b=-20--(1)ab=64So
[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]
[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]
[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]
From both equations
2a=-8=>a=-4-4+b=-20b=-16please help fast!!! a shirt is regularly priced at $35.50 if it is discounted by 45% what is the sales price
Do u guys have apps for solving geometry/ triangle problems????
This is the best I could find
Some recommended apps for solving geometry and triangle problems are "Ge oGebra," "De smos Geometry," and "Ma thway."
Ge oGebra: Ge oGebra is a versatile mathematics app that covers various topics, including geometry and triangles. It provides interactive tools for constructing and analyzing geometric shapes, making it a valuable resource for visualizing and understanding different properties and theorems related to triangles.
De smos Geometry: While De smos is primarily known for its graphing capabilities, the De smos Geometry app also offers tools for creating and manipulating geometric shapes, including triangles. It can help users explore and solve various triangle-related problems.
M athway: M athway is a comprehensive math problem-solving app that covers a wide range of topics, including geometry and triangles. Users can input specific problems, and the app provides step-by-step solutions, making it a helpful tool for both learning and verifying answers to geometry and triangle problems.
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------------The given question is incomplete, the complete question is:
"What are some recommended apps for solving geometry and triangle problems?"-------------
Which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48
The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
How to find the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let the width of the rectangle mosaic is w cm. Thus, the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w+2)=48[/tex]
Learn more about the area of rectangle here;
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
A square pyramid has
a base edge of 8 inches
and a surface area of 304
square inches. Find the
Slant height of the
pyramid.
The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.
What is the Surface Area of a Square Pyramid?Surface area (SA) = a² + 2al
Given the following parameters:
Surface area = 304 sq. in.a = 8 in.l = ? (slant height)Plug in the values into (SA) = a² + 2al:
304 = 8² + 2(8)l
304 = 64 + 16l
304 - 64 = 16l
240 = 16l
240/16 = l
15 = l
l = 16
Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.
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Brainlest if u get it right
Answer:
A. would be best I'm pretty sure
Step-by-step explanation:
Answer: A.
Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students. Option A is a unbiased sample, therefore, that's your answer.
Hope this helps! :)
I need help with this one plis quickly !!!
Answer:
3
Step-by-step explanation:
Hard to see but pretty sure thats it
Which set of ordered pairs does not represent a function?
O {(8,-4), (-5,6), (-5,7), (-3,-5)}
O{(-1,0), (1,0), (3,-2), (2, -9)}
O {(3,-7), (-2, -9), (9,3), (7, - 7)}
O {(8, –9), (-3,9), (-9,2), (-2,0)}
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
someone help me please
Answer:
x ≈ 5.8 degrees
Step-by-step explanation:
the sum of all exterior of any polygon is 180 degrees
so: 7x+4 + 5x+4 + 4x+9 + 9x-6 + 4x+1 = 180
combine 'like terms':
29x + 12 = 180
29x = 168
x ≈ 5.8
The ratio of acrobats to dancers was 13 to 15. If there were 247 acrobats, how many dancers were there?
Answer:
im terreb.le at math
Step-by-step explanation:
Answer:
285 dancers
Step-by-step explanation:
[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]
After cross-multiplication:
13x = ( 15 )( 247 )
13x = 3705
x = 285 dancers
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 81 endroot startroot 9 endroot startroot 729 endroot startroot 64 endroot startroot 353 endroot one-third startroot 216 endroot three-fifths 2.5
The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
1. √100 × √100
→ √100 × √100
→ 10 × 10 = 100
This is a rational number.
2. 13.5 + √81
→ 13.5 + √81
→ 13.5 + 9 = 22.5
This is a rational number.
3. √9 + √729
→ √9 + √729
→ 3 + 27 = 30
This is a rational number.
4. √64+ √353
→ √64 + √353
→ 8 + √353
This is an irrational number.
5. 1/3 + √216
→ 1/3 + √216
→ 1/3 + √216
This is an irrational number.
6. 1/5 + 2.5
→ 1/5 + 2.5
→ 0.2 + 2.5 = 2.7
This is a rational number.
More about the rational number link is given below.
https://brainly.com/question/9466779
Answer:
A, B, C, F
Step-by-step explanation:
edge
What is 25 time 39 divided by 2150?
Answer:
Approx 0.453488372
Step-by-step explanation:
You can get this with a calculator.
25 × 39 = 975
975÷2150≈ 0.453488372
I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!
I would love brainliest!!!!
Which product has 4 zeros after the digit 3?
0.03 x 104
0.3 x 104
0.3 x 10
0.03 X 109
Answer:
0.03×104=3.12
0.3×104=31.2
0.3×10=3
0.03×109=3.27
these are the products
hope it helps!
A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?
A finite, nonzero area formed by the lines would have a fixed measurement
The number of separate region that have a finite, nonzero area is 64
How to determine the number of separate regions?The given parameters are:
Horizontal lines, h = 9Vertical lines, v = 9The number (n) of separate region that have a finite, nonzero area is calculated as:
n = (h - 1) * (v - 1)
This gives
n = (9 - 1) * (9 - 1)
Evaluate the product
n = 64
Hence, the number of separate region that have a finite, nonzero area is 64
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NEED ANSWERS QUICK! CORRECT ANSWER GETS BRAINLIEST
Find the quotient of 4 5/8 and 2 1/2. Express your answer in the simplest form.
Answer:
1 5/32
Step-by-step explanation:
this is the answer
Answer:
The correct answer is 1 5/32
Step-by-step explanation:
First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)