Answers
Answer:
θ = 55° (Approx)
B = 16.5 (Approx)
Step-by-step explanation:
Given:
In Δ first;
H = 7
B = 4
Cos θ = B/H
Cos θ = 4 / 7
Cos θ = 0.57
θ = 55° (Approx)
Given:
In Δ second;
B = x
P = 8
θ = 26°
Tan θ = P / B
Tan 26° = 8 / x
0.4877 = 8 / x
x = 16.5 (Approx)
B = 16.5 (Approx)
Related Questions
These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !
Answers
If the function h(t) = tan(5t +4 ) using chain rule we found values h'(1)= 6.02 and h"(1) = -27.24
What is chain rule for differentiation?Chain rule for differentiation states that the differentiation of the composition of two functions f, g
(fоg)' = f'(g(x))* g'(x) , where ' represents first derivative with respect to independent variable x .
For three functions : x, y, t
(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)
Given h(x) = tan(5t+4)
Let f(t) = tan t and g(t) = 5t+4
f'(t) = sec² t and g'(t) = 5
Then h(t) = fоg(t)
Using chain rule of differentiation:
h'(t) = (fоg(t))' = f'(g(t))* g'(t) = sec²(5t+4) *(5) = 5 sec²(5t+4)
let x(t) = 5t², y(t) = sec(t), z(t) = 5t+4
x'(t) = 10t , y'(t) = sect tan t , z'(t) =5
(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)
h"(t) =(x(y(z(t))))'= 10 sec(5x+4) * sec(5t+4)tan(5t+4)*5
h"(t) = 50sec²(5t+4)tan(5t+4)
The value of h'(t) at t =1
h'(1 ) = 5 sec²(5(1)+4)= 5 sec²(9) =6.02
h"(1) = 50sec²(5(1)+4)tan(5(1)+4) = 50sec²(9)tan(9) = -27.24
Therefore, the values h'(1 ) = 6.02 and h"(1) = -27.24
Also. Learn more about differentiation rules from the link below:
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What is the answer for this
Answers
Answer:
B
Step-by-step explanation:
5, Combine like terms: 8C C+ 12
Answers
Answer:
9c + 12
Step-by-step explanation:
Answer:
9c+12
Step-by-step explanation:
What is the value of x in the picture below? Round your answer to the nearest 10th (1 decimal place)
1 A
41°
Answers
Answer:
try to find the c's in the o's how many are there?
Step-by-step explanation:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
The lifetime of a 2-volt nonrechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Of all batteries, 90% have a lifetime shorter than
Answers
It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.
What is standard deviation?A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l
It should be noted that the Z value will be computed thus:
Z = X - U / SD
Z = 541.6 - 516 / 20
Z = 1.28.
This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours
Learn more about standard deviation on:
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The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?
HELP PLS!!! ASAP
To divide x^3y by x^4y, first divide y by y to get x^3/x^4. Which of these would you do next to solve?
Question 20 options:
x(4 – 3)
x(3 – 4)
x(3 ÷ 4)
x(4 ⋅ 3)
Answers
Answer:
x(3 – 4)
Step-by-step explanation:
x^3y
/x^4y
get rid of y
x^3/x^4
subtract exponents
x(3 – 4)
Brainliest please ask me if you have more questions.
solve this one please I will mark brainlist
Answers
The only decimal that contains a digit that represents ten times the value of the digit to its' right is; 33.458
How to Interpret Decimals?From the question, we want to find the digit that represents ten times the value of the digit to its' right.
Now, when it comes to decimals, there is the whole number part which is the left side of the decimal while there is a fraction part which is the right side of the decimal.
Now, the decimal values given are;
36.295
33.458
37.889
Let us analyze each of them;
1) 36.295 = 30 + 6 + 2/10 + 9/100 + 5/1000
We can see that there is no number that is ten times the number to it's immediate right.
2) 33.458 = 30 + 3 + 4/10 + 5/100 + 8/1000
We can see that 30 is ten times the number to it's immediate right which is 3.
3) 37.889 = 30 + 7 + 8/10 + 8/100 + 9/1000
We can see that there is no number that is ten times the number to it's immediate right.
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For what values of x and y must ABCD be a parallelogram?
Answers
Because the parallel sides have to be equal and these inputs make the side equal.
A skating rink charges $6.25 for skate rentals for people of all age groups. If C
represents the total number of children who rented skates and A represents the
total number of adults who rented skates, which expression best represents the
total money earned by the skating rink for the rental of skates?
a. 6.25 + a + c
b. 6.25a + 6.250
c. 6.25 (a + c)
d. 6.25a X 6.250
Answers
Answer:
C: 6.25 (a+c)
Step-by-step explanation:
Since the price for all ages is $6.25
Both children and adult (c,a) would be multiplied by the price to get the total money earned
which table represents linear function?
Answers
Answer: The third option
Step-by-step explanation: You have to look for a pattern, as the x value increases by 1, the y value decreases by 8, every single time.
Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.
B.
Line JK and line LM will be perpendicular.
C.
The slope of line JK will be the same as the slope of line EF.
D.
The slope of line LM will be the negative reciprocal of the slope of line GH.
Answers
Answer:
A.
Step-by-step explanation:
I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.
EF: (-9,1) (-4,9)
[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
GH: (-5,-2) (0,6)
[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
Same slope and different y-intercept means the lines a parallel
On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for $18.40.
Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints in this situation.
equation 1: `5c+4p=18.40`
equation 2: `2c+4p=11.20`
What does the solution to the system, `\left(c,p\right)`, represent in this situation?
Answers
Answer:
(_11)×15 please help help me me my question solve please
why is 10 x 10 is 1 less than 9 x 11
Answers
Answer: It's the other way around and it is because 10 x 10 is adding 10+10+10+10+10+10+10+10+10+10, while 11x9 is just 9 11s added together.
Help please!!!!!!!!!!
Answers
[tex]3x+15y=45[/tex]
[tex]x+5y=15[/tex] ↦ Divide the whole equation by 3.
[tex]5y=15-x[/tex] ↦ Move the x to another side.
[tex]y=\frac{15-x}{5}[/tex] ↦ Move 5 to divide 15-x
[tex]y=\frac{15}{5}-\frac{x}{5}[/tex] ↦ Separate
[tex]y=3-\frac{x}{5}[/tex] ↦ Divide 15 by 5 as we get 3.
[tex]y=-\frac{x}{5}+3[/tex] ↦ Arrange in the form of y = mx + b or the slope-intercept form.
That's the answer.
Joshua drove his car a distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?
Answers
Answer:
6 liters of gasoline
Step-by-step explanation:
Since, 1 km = 0.6214 miles
Therefore, 100 km = 0.6214 × 100 = 62.14 miles
∵ For 431.8 miles of driving Joshua required amount of gasoline = 10.4 gallons
∴ For 1 mile of driving gasoline required = [tex]\frac{10.4}{431.8}[/tex] gallons
∴ Gasoline required to drive 62.14 miles = [tex]\frac{10.4}{431.8}\times 62.14[/tex] gallons
= 1.4967
≈ 1.5 gallons
∵ 1 gallon of gasoline = 3.8 liters
∴ 1.5 gallons of gasoline = 3.8×1.5
= 5.7
≈ 6 liters
The number of liters of fuel should be 6 liters.
Calculation of number of liters:Since distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol).
So,
Since, 1 km = 0.6214 miles
Now
100 km = 0.6214 × 100 = 62.14 miles
The number of liters should be
[tex]= 10.4 \div 431.8 \times 62.14 \times 3.8[/tex]
= 6 liters
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There are 3 boys for every 4 girls in Mrs. G.'s math class.
Find the constant of proportionality and write an equation to determine the number of boys in Mrs. G.'s class if you know the number of girls in Mrs. G's
class
Answers
Answer:
12 Step-by-step explanation:
Each day, you run on a treadmill for r minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
Explain your reasoning. there's two answers
They are both expressions with r as the variable.
They are not equivalent expressions.
They are equivalent expressions.
Both expressions contain the terms 5, r, and 15.
Answers
Answer:
5(15+r)= however many minutes 5*r is
or (5*15)+(r*15)
Step-by-step explanation:
Factor the following expression.
x^2- 9x + 14=
Answers
I hope this helps
Put -4.8, -4/1 10, and -17/4 in order from LEAST TO GREATEST
Answers
where RS = 6y + 2, ST = 2y + 7, and RT = 13y - 21.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete but a possibility is that the given parameters are points on a straight line.
I'll answer base on that assumption.
[tex]RS = 6y + 2[/tex]
[tex]ST =2y + 7[/tex]
[tex]RT =13y -21[/tex]
To solve for y, we have that:
[tex]RT = RS + ST[/tex]
This gives:
[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]
Collect Like Terms
[tex]13y - 6y - 2y = 21 +2+7[/tex]
[tex]5y = 30[/tex]
Divide both sides by 5
[tex]y = 6[/tex]
To get the measure of each line. Substitute 6 for y in
[tex]RS = 6y + 2[/tex]
[tex]ST =2y + 7[/tex]
[tex]RT =13y -21[/tex]
[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]
[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]
[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]
Solve for x in the triangle
Answers
explanation: right angles equal to 90 degrees, so 90-21= 69
I will mark brainiest to whoever answers this!
Answers
Answer:
2
Step-by-step explanation:
......... . ........ .......
The median of 4 numbers is 48
3 of the numbers are:
42, 51, and 52
what is the other number
Answers
Answer:
45!
Step-by-step explanation:
QUICKLY!!!!!!!!!
In the figure to the right, AB=7 1/2m, BC=2 1/4 m, and DE=1 1/4m. Find the perimeter of the figure if all angles are right.
Answers
Answer:
22m
Step-by-step explanation:
You're welcome, just trust me it's right.
Order the values from least to greatest
-2.1,|5|,|4|,8, -7/12=
Answers
Step-by-step explanation:
-7/12 -2.1, 4, 5, 8
I couldn't read it well but I think this is what you meant.
pls help ill mark brainless
Answers
Answer: A.
Step-by-step explanation: Brainliest plz
The line starts from 1. It ends at 3.5. 3.5-1 is 2.5.
Answer:
shut dafaq up
Step-by-step explanation:
A process produces a certain part with a mean diameter of 3 inches and a standard deviation of 0.05 inches. The lower and upper engineering specification limits are 1.80 inches and 3.05 inches. What is the Cp (measure of potential capability)
Answers
Answer:
The correct answer is 4.167
Step-by-step explanation:
According to the given scenario, the calculation of the Cp i.e. measure of potential capability is as follows;
= (USL - LSL) ÷ 6 × standard deviation
= (3.05 inches - 1.80 inches) ÷ 6 × 0.05
= 1.25 ÷ 0.3
= 4.167
hence, the calculation of the Cp i.e. measure of potential capability is 4.167
!!!!PLEASE HELP ME, WHY ISNT ANYONE HELPING ME!!!!
Which of the following is an identity?
A. sinBsecBcotB = 1
B. sinBsecBcotB = cotB
C. sinBsecBcotB = sin²B/cos²B
-------------------
tan A - sec A =
A. Sin^2A - cosA/cosA
B. sinA-1/cosA
C. cos^2A - 1/cosA
--------------------
1/1 - sinA + 1/1 + sinA =
A. 2 cos^2 A
B. 2 sec^2 A
C. tan^2 A
D. cot^2 A
Answers
Answer:
Step-by-step explanation:
A is correct for first question
A line through (4,-8) with a slope of -8 has y intercept at (0,?)
Answers
Answer:
so y intercept is 24
Step-by-step explanation:
Using y = mx + b
m = -8
y = -8
x = 4
then -8 = -8(4) + b
-8 = -32 + b
b = 32 - 8 = 24
5. Find JK to the nearest whole number.
A
Answers
Answer:
JK ≈ 63 units
Step-by-step explanation:
Using the sine ratio in the right triangle
sin44° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{JL}[/tex] = [tex]\frac{JK}{90}[/tex] ( multiply both sides by 90 )
90 × sin44° = JK , that is
JK ≈ 63 ( to the nearest whole number )
Answer:
Sin(x) = Opposite ÷ Hypotenuse
Sin(44) = JK ÷ 90
0.6946583705 = JK ÷ 90
0.6946583705 × 90 = JK
JK = 62.5192533413
Rounding JK to the nearest whole number:
JK = 63