For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answers
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
Related Questions
If you used the input value 12 in the function y=2x,what would be the output value
Answers
Answer:
24
Step-by-step explanation:
If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)
Brian planted 6 rows of tulip bulbs with 5 bulbs in each row. This is 3 times as many bulbs as Ester planted. How many bulbs did Ester plant?
Answers
30 ÷ 3 =10
Ester planted 10 bulbs
Joan has $5,000 in her savings account.
She takes out $200 per week. In how
many weeks will it take Joan to deplete
her savings account?
Answers
Answer:
Step-by-step explanation:
25
5,000 divided by 200
find the probability that there are no H when a fair coin is flipped three times.
(round the answer to 4 decimal points)
Answers
Step-by-step explanation:
Probability of heads is 1/2, and the probability of tails is 1/2. The probability of getting no heads (3 tails) is:
P = (1/2)³
P = 1/8
P = 0.1250
In a paint store you’re mixing paint for a larger order. Paint requires mixture of 75% base 25% color. How many gallons of base should you mix for 4 gallons of color ?
Answers
A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the width (x) of the frame?
A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch
Answers
Answer:
Half an inch
Step-by-step explanation:
Perimeter of the frame = 28 inches
Length fo the frame = 7 + x + x = (7 + 2x) inches
Width of the frame = 5 + x + x = (5 + 2x) inches
Perimeter of a rectangle is given as: 2(length) + 2(width)
Therefore:
28 = 2(7 + 2x) + 2(5 + 2x)
Solve for x
28 = 2*7 + 2*2x + 2*5 + 2*2x
28 = 14 + 4x + 10 + 4x
Collect like terms
28 = 14 + 10 + 4x + 4x
28 = 24 + 8x
Subtract 24 from both sides
28 - 24 = 24 + 8x - 24
4 = 8x
Divide both sides by 8
4/8 = 8x/8
½ = x
Width of the frame = x = ½ of an inch
How do you determine if a function notation is a solution ???? Please give an example
Answers
Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Answer:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Example:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Solution:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
What percent of 86 is 50 to the nearest whole percent
Answers
Answer:
58%
Step-by-step explanation:
50/86 is approximately equal to 0.58, and when you convert that into percentage you get 58%
One base of a trapezoid measures 12 meters, and the other base measures
8 meters. If the area is 144 square meters, what is the height of the
trapezoid?
Answers
[tex]Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}[/tex]
h=14.4m
Using the formula
A= 12 meter
B= 8 meter
H = 14.4 m
Trapezoid
Solve for height
h=14.4m
Unit Conversion:
a=12m
b=8m
A=144m²
Using the formula
A=a+b/2h
Solving for H =
Look at picture for how to work out the last part
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5 please help me
Answers
Answer:
10
Step-by-step explanation:
7(4)+2(2)-8(1.5)/2
28+4-12/2
20/2
10
7m+2n-8p/n
7(4)+2(2)-8(1.5)/2
28+4-12/2
28+4-6
32-6=26
What is the value of the 3 in 513
Answers
Answer:
3
Step-by-step explanation:
513 = 500 + 10 + 3
The 5 is worth 500.
The 1 is worth 10.
And the 3 is worth 3 !
Answer:
The value of 3 in 513 is the ones place.
Step-by-step explanation:
Help me ASAP plssssssssssssssss
Answers
Answer: it’s B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the value of AB?
Answers
Answer:
use the pythogoras thoerem making aright angled traingle
and multiply the result by 2
ab = 2*8 =16
Step-by-step explanation:
−9 1 /6 + 7 help thanks ;)
Answers
Hey there!
ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:[tex]-9\frac{1}{6}+7[/tex]
After that, multiply the whole number by the denominator and then add the numerator after you multiply.
[tex]-\frac{55}{6}+1[/tex]
[tex]9*6=54+1=55[/tex]
Now add the negative sign to 55.
[tex]\frac{-55}{6}+7[/tex]
[tex]\frac{-13}{6}[/tex]
Now simplify.
[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
how far should galileo walk up the inclided plane
Answers
angle =12 degree
so,
height is 100m
so,
we need to find length of inclined path
so, we have to find hypotenuse
Let's assume
hypotenuse =x
so, we can use trig
and we can solve for x
So, the length of inclined path is 480.973.
Answer:
i actually dont know the answer im sorry but i will keep trying to find the answerr
40 points first ten digits of pi do not copy and paste if you do i can tell and I will report you
Answers
The answer is [ 3.1415926535 ]
pi or π is used to find the area and circumference of a circle. You can either solve it in terms of pi or solve with pi being 3.14.
Best of Luck!
regroup and rename the number 680,000
Answers
Convert 30 pages/hour to pages/day.
Answers
| 24hours
So...
30\24= 1.25 pages/day
I need Help what’s is value of X
Answers
Answer:
56
Step-by-step explanation:
Answer:
The answer to your question is 56.
Which of the following is a trinomial with a constant term?
A. X²-6
B. 5x2 - 4 + x
C. 4x5 + 2x - 2x2
D. -3+4x4
Answers
Answer:
I'm going to say B
An eastern airport has recorded a monthly average of five near misses of landings and takeoffs in the past 5 years. We assume that the distribution of this number is Poisson. a. Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. b. Find the probability that during a given month there are five near misses. c. Find the probability that there are at least five near misses during a particular month.
Answers
Answer:
The answer to this question can be defined as follows:
In option a "0.0067".
In option b "0.1755".
In option c "0.5595".
Step-by-step explanation:
It is about the distribution of Poisson:
[tex]\lambda = 5 (rate)[/tex]
t = 1
The formula for calculating Mean:
[tex]\to \mu = \lambda \times t[/tex]
[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]
calculate the value of Mean:
[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]
In point a:
When the value of x is equal to 0:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]
[tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]
In point b:
When the value of x is equal to 5:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]
[tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]
In point c:
When the value of x is equal to 5:
[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]
what is 3/5 times 9/7
Answers
Answer:
[tex] \frac{27}{35} \\ [/tex]
Step-by-step explanation:
If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.
[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]
Decimal form 0.7714285
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Answers
Answer:
40/4 shaded in squares
Step-by-step explanation:
for 0.4, since 100 is a whole, multiply by 100.
0.4*100=40
shade in 40 squares
for 0.04, multiply by 100
0.04*100=4
shade in 4 squares
This summer Paige’s town will be hosting a series of 9 concerts. There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200. If x and y represent the number of tickets Paige purchased for the 2 types of seats, which system of inequalities could Paige use to model this situation?
Answers
Answer:
d) x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Step-by-step explanation:
If x and y represent the number of tickets Paige purchased for the 2 types of seats.
Paige would like to attend at least 5 concerts.
This means, Paige would like to attend 5 or more concerts
Hence, the Inequality =
x ≥0
y ≥ 0
x + y ≥ 5
Also, we are told in the question that:
There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to spend no more than $200.
This means Paige was to spend less than or equal to $200
Therefore, the Inequality equation is:
29.5x + 43y ≤ 200
Therefore, the system of inequalities could Paige use to model this situation is option D
x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Answer:
d) x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Step-by-step explanation:
Which phrase is equivalent to “Franco must work a minimum of 32 hours”? The number of hours Franco works must be less than 32. The number of hours Franco works must be greater than 32. The number of hours Franco works must be less than or equal to 32. The number of hours Franco works must be greater than or equal to 32.
Answers
Answer:
The number of hours Franco works must be greater than or equal to 32.
Step-by-step explanation:
The number of hours Franco works is greater than or equal to 32. Then the correct option is D.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The statement is given below.
“Franco must work a minimum of 32 hours”
Let x be the number of hours France works.
According to the statement, the inequality equation will be given as
x ≥ 32
The number of hours Franco works is greater than or equal to 32.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2.
–4
–3
–2
–1
Answers
Answer:
The Answer is (-1,0)
I Don't really know how to explain.
You're Welcome!
The graph of the coordinates is plotted and attached.
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
We have the following table -
[x] f(x)
- 4 16
- 3 -2
- 2 0
- 1 6
0 0
1 -2
The given table represents the coordinates -
(- 4, 16) , (- 3, - 2), ( - 2, 0) , ( - 1, 6) , (0, 0) , (1, - 2)
The graph of the coordinates is plotted and attached.
Therefore, the graph of the coordinates is plotted and attached.
To solve more questions on Graphs, visit the link below -
brainly.com/question/17230119
#SPJ2
yolandaa sunflower is 12 centimeters more than jean sunflower yolanda sunflower is 75 centimeters tall. how tall is jeans sunflower?
Answers
Answer:
63 centimeters
Step-by-step explanation:
Answer: 63 cm tall.
Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.
75 = 12 = 63
So, Jean's sunflower is 63 centimeters tall.
what is the value of x
Answers
Answer:
X=70
Step-by-step explanation:
Interior angles of parallel line sum up to be 180° so:
45+(2x-5)=180
45+2x=185
2x=140
x=70
Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y.
Answers
Hey there! I'm happy to help!
Difference means that you subtract.
5-y
And we multiply this entire thing by 9, giving us 9(5-y).
Have a wonderful day! :D
If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.
Answers
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Answer:
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Step-by-step explanation: