If X = 10, find the value of the variable b. If your answer is not an integer, round to 2 decimal places.
Answers
a = leg
In a 45-45-90 triangle:
hyp divided by root 2 = leg
10 root 2 divided by root 2 equals leg
10 equals leg (a)
a = 10
a = long leg
b = short leg
c = hypotenuse
In a 30-60-90 triangle:
long leg divided by root 3 = short leg
10 / root 3 = short leg
short leg = 5.77 (b)
Hypotenuse = short leg * 2
Hyp = 5.77 * 2 = 11.55 (c)
Check using Pythagorean theorem:
a^2 + b^2 = c^2
10^2 + 5.77^2 = 11.55^2
100 + 33.4 = 133.4
133.4 = 133.4 :)
Related Questions
The ratio of length to width on a rectangle is
11:3. The perimeter of the figure is 308. what is the
width of the rectangle
Answers
Answer:
[tex]Let~the~length~of~rectangle~be~'l'~and~its~width~be~'b'.\\According ~to ~question,\\l:b=11:3\\or, \frac{l}{b} =\frac{11}{3} \\or, l = \frac{11b}{3}\\Also,\\Perimeter~of~the~rectangle=308\\or, 2(l+b)=308\\or, l+b=154\\or, \frac{11 b}{3}+b =154 \\or, \frac{11b+3b}{3} =154\\or, 14b = 154(3)\\or, b=33 units\\So, ~the~width~of~rectangle~is~33units.[/tex]
Alternative method:
[tex]Let~the~length~and~width~of~the~rectangle~be~11x~and~3x.\\Given,\\Perimeter~of~the~rectangle = 308\\or, 2(11x+3x)=308\\or, 14x = 154\\or, x = 11\\Now,\\Width~of~the~rectangle,3x = 3(11)=33 units\\So,~the~width~of~the~rectangle~is~33units.[/tex]
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
PLEASE SHOW YOUR WORK!!
Answers
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Which value is an input of the function?
-14
-2
0
4
Answers
Answer:
4
Only answer on the x-axis
Answer:
It's 4.
Step-by-step explanation:
Did the test on edge2021
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1
y = - x - 1
y = - x
y = 3 x
Answers
Answer:
B. y = - x - 1Step-by-step explanation:
Line a is declining and has the y-intercept of -1
The equation with negative slope and - 1 y-intercept is:
y = - x - 1Correct option is B
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-[tex]y = - x - 1[/tex]
Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answers
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
(4+4)÷22×2
plss someone answer hurry <3
Answers
Answer:
first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72
Step-by-step explanation:
hope this help
Answer:
0.72
Step-by-step explanation:
Consider the sequence 4,-12,36,-108... is it a arithmetic sequence or a geometric sequence justify your answer
Answers
Answer:
Geometric Sequence
Step-by-step explanation:
It's a geometric sequence because it has a common ratio of -3.
HELP ASAP PLEASE!
The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters
Answers
Answer:
Step-by-step explanation:
The area of each rectangle is Length x width
Therefore Area of rectagle is 8cm x 10 cm=
A= 80 cm 2
There are three rectangles with the same measure so multiply the area by 3
80cm squared x 3= 240 cm 2
Now find the are of the triangle:
A- 1/2 x base x height
Base = 8cm
Height = 6.9 cm
A= (1/2) (8cm) (6.9cm)
A= (1/2) (55.2 cm squared)
A= 27.6 cm squared
Since there are two triangle faces with the same dimensions take the area and multiply it by 2
27.6 cm squared times 2 = 55/2 cm squared
Now add up the area of the rectangles and the area of the triangles.
Rectangles= 240 cm squared
Triangles 55.2 cm squared
240cm sq + 55.2 cm sq.= 295.2 cm squared
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answers
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1
$99.99, 19% discount
Answers
Answer:
$80.99
Step-by-step explanation:
Turn the percentage into a decimal.
19% -> 0.19
Multiply.
99.99 * 0.19 ≈ 19
Subtract.
99.99 - 19 = 80.99
Best of Luck!
Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4
Answers
Children’s pony ride at a zoo please help I mark brainliest
Answers
Answer:
78.5 feet OR (25 x pi) feet
Step-by-step explanation:
You need to find the circumference.
C = 25 x 3.14
C = 78.5 feet
OR
C = 25 x pi
Hope that helps!
78.5 i think
.
.
PLS HELP GIVING BRAINLESS TO FIRST PERSON PLS HELP
Answers
When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?
Answers
Answer: 3 feet tall
Step-by-step explanation:
50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.
la medida de un angulo externo de un triangulo y la suma de las madidas de los dos angulos internos remotos son
Answers
40% of
a number is 8 more than the
number
Which is the number
Answers
X+y=40
Y=8 + x
Substituting the second equation into the first:
X+(8+x)=40
2x+8=40
2x=32
Smaller number: x=16
Y=8+(16)
Large number: y=24
Jon had 45 dollars in his account. He made 7 dollars
per hour at his job. At the end of the week he had 150
dollars in his account. How many hours did he work?
Answers
What is the derivative of sech u with respect to x?
Answers
Answer:
[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
This is a known derivative (apply trigonometric differentiation).
Step 1: Define
Identify
[tex]\displaystyle y = sech(u)[/tex]
Step 2: Differentiate
Hyperbolic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
what percent is 25 out of 72
Answers
Answer:
35%
Step-by-step explanation:
It’s 34.722222222222%, but if you round it up, it’s about 35%.
HELP ME PLZ!!!! A bakery sold 48 chocolate cupcakes in a day, which was 12% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answers
400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A set of financial statements with a budgeted amount are created using the percentage-of-sales approach. The predicted sales level for the budget period is calculated by converting each historical cost into a percentage of net sales.
It is given that,
Total number of chocolate cupcakes sold = 48
Let the x be the cupcakes that will be sold by the bakery on that day
According to the given condition, 12% of the total number of cupcakes is 48.
⇒12% of x = 48
⇒(12/100) × x =48
⇒x=(48×100)/12
⇒x=400
Thus, 400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
Learn more about the percentage here:
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Which table represent a linear function? Pic attached and I will mark Brainly
Answers
Answer:
3 one
Step-by-step explanation:
seems logical hope this helped
8. Find the value of x in the isosceles triangle.
Answers
Work is shown in the picture
What is the constant of proplity?
O 0.75
O 0.8
01.25
O 1.5
Answers
One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.
Answers
9514 1404 393
Answer:
the numbers are -10 and -11
Step-by-step explanation:
Let x represent the second number. Then the first number is x+1, and the relation can be written ...
5(x+1) = 4x -6
x = -11 . . . . . . . . subtract 4x+5
The first number is -10; the second number -11.
Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.
Answers
Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.
Answers
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22
The percentage decrease of an item would be 45%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percentage decrease by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $40, and reduced value = $22
Substitute the values in the above formula, and we get
percentage decrease = (40 - 22) / 40 × 100%
percentage decrease = (18) / 40 × 100%
percentage decrease = 0.45 × 100%
Apply the multiplication operation, and we get
percentage decrease = 45%
Thus, the percentage decrease of an item would be 45%.
Learn more about the percentages here:
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Please help! I need by tomorrow
Answers
online school is hard
2) 8x +9y = 82
2x + 2y = 20
Answers
Is 6/10 more than 3/4
Answers
Answer:
3/4 is greater
Step-by-step explanation:
3/4 > 6/10
Answer:
3/4 is more
Step-by-step explanation:
divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.
Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.
Answers
Answer:
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Step-by-step explanation:
The weights should be within 0.5% of the actual weight measured.
15.0 pounds
0.005*15 = 0.075
Tolerance of 0.075 pounds
15 - 0.075 = 14.925 pounds
15 + 0.075 = 15.075 pounds
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.