Answer:
Beam stick out = 2.09 ft
Step-by-step explanation:
Given:
Length of wooden beam = 12 ft
Side of bed = 5.5 ft by 8 ft by 2 ft
Find:
Length of wooden beam needed.
Computation:
[tex]Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal = \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = \sqrt{98.25}\\\\Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91[/tex]
Length of wooden beam needed = 9.91 ft
Beam stick out = 12 ft - 9.91 ft
Beam stick out = 2.09 ft
The angle θ lies in Quadrant I. sinθ=2/5 What is cosθ?
Answer:
sqrt21/5
Step-by-step explanation:
You can solve this by taking advantage of the trigonometric identity of sin^2(x) + cos^2(x) = 1
So square sinθ to get, 4/25
Subtract that from one to get:
cos^2(θ) = 21/25
Take the square root to get:
cosθ = sqrt21/5
The value of cosθ = (√21)/ 5.
What is a sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
Given that the angle θ lies in Quadrant I.
That means all the value of in θ the first quadrant are positive from 0° to 90°.
Here sinθ = 2/5.
And we know cosθ = √(1-sin²θ )
So cosθ = √{1- (2/5)²}
⇒ cosθ = √{1- (4/25)}
⇒ cosθ = √{21/25)}
⇒ cosθ = (√21)/ 5
Therefore, cosθ = (√21)/ 5
To learn more about the sine function;
https://brainly.com/question/12015707
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the area of square abcd is 7cm^2
show that x^2+4x=3
Answer:
see explanation
Step-by-step explanation:
The area (A) of the square = s² ( s is the measure of the side )
Here s = x + 2 and A = 7 , thus
(x + 2)² = 7 ← expand left side using FOIL
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
Answer:
(x + 2)² = 7
x² + 4x + 4 = 7
x² + 4x = 3
Step-by-step explanation:
Please help me!!!!!!!!!
Answer:
57 degree
Step-by-step explanation:
Using cos formula again~
So AB^2=BC^2+AC^2-2*BC*AC*cosC
AB= 25.15cm
BC^2=AB^2+AC^2-2ABACcosA
Cos A=0.55
A=56.58degree
What is the value of 7C2?
7!/2!
Step-by-step explanation:
nCr=(nr)=n!r!(n−r)! 7C2=(72)=7!2!(7−2)!=7!2!⋅5!=50402⋅120=5040240=21.
A bag has 10 pens in it: 4 black, 3 blue, 2 green and 1 red
You randomly choose one pen from the bag and give it to Maria (who keeps it). You then randomly choose another
pen from the bag and give it to Ahmed. What is the probability that Maria gets a black pen and Ahmed gets a red
pen?
45
O
0 1 / 2
cation
Ri
E
w
9
Chip
Choose the answer that expresses the area of this square as a trinomial ( 2y+ 3) and ( 2y+3)
Answer:
4y^2 + 12y + 9
Step-by-step explanation:
Unclear what your (2y + 3) represent. If it's the length of one side of the square, please say so.
If that's the case, then the area of the square is (2y + 3)^2, or 4y^2 + 12y + 9, which is a trinomial.
what two integers would 4.89 fall between?
Answer: 4 and 5
Step-by-step explanation:
4.89 is higher than 4 and lower than 5
What is the apparent slope of the line graphed below?
Answer:
B. -2/5
Step-by-step explanation:
Use the "rise over run method"
Do this by finding two points on the graph, then finding the distance between the two points. First find the vertical distance, then the horizontal. The direction represents whether the slope will be negative or positive. When it goes up, it'll be positive, down=negative. Right=positive, left=negative. Two negatives make a positive, but one positive and one negative make a negative.
I realllly need help with this! For a lot of points please please give me a answer
Answer:
Step-by-step explanation:car 10 percent
Phone 1 percent
Clothes 5 percent
Charity 3.84 percent
Mac 0.4percent
Apple watch 0.2 percent
Hawaai trip 1.57 percent
Home 73 percent
What is the volume of this rectangular prism?
Answer:
The volume is 2.This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.
5/3 * 3/2 * 4/5
= 5*3*4 = 15*4 = 60
= 3*2*5 = 6*5 = 30
= 60/30= 2Volume = 5/3 x 3/2 x 4/5
5/3 x 3/2 = 15/6
15/6 x 4/5 = 60/30 = 2
Volume = 2 cubic units
pls help brodddddda for da brainliest
Answer:
a) 21, 24, 29
b) 5 terms in the sequence are less than 50
Step-by-step explanation:
[tex]t_n = n^2+20\\t_1 = 1^2+20 = 1+20= 21\\t_2 = 2^2+20 = 4+20= 24\\t_3 = 3^2+20 = 9+20= 29\\\\\\t_5 = 5^2+20 = 25+20= 45\\\\\\t_6 = 6^2+20 = 36+20= 56\\[/tex]
Since, 5th term is less than 50 and 6th term exceeds 50, therefore 5 terms in the sequence are less than 50.
Which of these is closest to the time in years that it will take an investment to triple when it is invested in an account that pays 5.4% annual interest, compounded monthly?
20.4 years
20.9 years
2.1 years
0.25 year
Answer:
20.4 years
Step-by-step explanation:
The nper formula in excel comes handy in this scenario:
=nper(rate,pmt,-pv,fv)
Rate is the monthly rate of 5.4%/12
Assuming actual investment is $5,000 which is pv
The triple amount would be $5,000*3=$15,000 which is future value fv.
pmt is the regular cash flow the investment which is zero
=nper(5.4%/12,0,-5000,15000)= 244.68 months
Yearly it can be expressed as = 244.68/12 =20.39 years
When rounded to one decimal place it becomes 20.4 years
PLEASE HELP!
Which shape contains exactly three congruent sides?
A. Scalene triangle
B. Equilateral triangle
C. Isosceles triangle
D. Right triangle
Answer:
B. Equilateral triangle
Step-by-step explanation:
The shape that contains exactly three congruent sides is an equilateral triangle.
20 POINTS- EASY
8. Luisa invests $1900 for 4 years and earns $152 in simple interest. What is
the interest rate as a percent?
A. 2%
B. 4%
C.6%
D. 102%
Answer:
2%
Step-by-step explanation:
1900(x)^4= 1900+152
1.019 and is closer to 2%
choose the correct congruence statement for the figure shown
Answer:
see below
Step-by-step explanation:
In order by increasing number of angle marks, the vertices of the lower triangle are ...
I H G
In the same order, the vertices of the upper triangle are ...
H I E
Using these as the names of the triangles, we can write the congruence statement ...
ΔIHG ≅ ΔHIE . . . . . matches the 2nd choice
Ms. Johnson has 20 students. 3/5 of her class has at least one pet. How many students in her class have pets?
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} \times 20[/tex]
[tex]\frac{60}{5}[/tex]
[tex]=12[/tex]
Answer:
12 students
Step-by-step explanation:
First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.
Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12
12 students have pets in Ms. Johnson's class
SOMEONE PLEASE HELP ME!
Answer:
-7 and 3
-5 and 1
-3 and -1
They all give the same total i.e. -4
Answer:
-7 and 3
-5 and 1
-3 and -1
Step-by-step explanation:
The total is -4
The Hernandez family built a backyard patio. The width and length of the patio are whole numbers. What could be the dimensions of the patio if the area is 50 square feet? Pls help me due in 10 min!! Thanks
Answer:
10ftx15ft could be possibility.
Step-by-step explanation:
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28) –2x + 3 –2x – 3 –2x – 8 –2x + 8
Answer:
Hello, the answer to this question is A the other person is wrong
Step-by-step explanation:
Answer:
A) –2x + 3
Step-by-step explanation:
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $875. Let x represent the price of one ticket. What is the price of one ticket?
157 dollars per ticket
Show work
5 tickets times 18 dollars equals 90 dollars
875 minus 90 dollars in insurance equals 785
785 dollars divided by 5 tickets equals $157
You want to know how the residents in your city feel about building a new pool. You randomly survey 10 people. Of those surveyed, 7 support the new pool and 3 do not. You conclude that 70% of the residents of your city support building a new pool. Which statement below best describes your conclusion?
The conclusion is valid because the sample is random.
The conclusion is invalid because the sample size is too small.
The conclusion is invalid because less than 70% of people surveyed support the new pool.
The conclusion is valid because the sample is representative of the population and large enough to provide accurate data.
Answer: its d
Step-by-step explanation:
Patty Cake and Jim Nasium are flying a kite. Patty is 200 m away from Jim who is holding the kite. Facing Jim, Patty finds the angle of elevation of the kite is 40 degrees . If the kite string makes an angle of 85 degrees with the ground, find the amount of string let out by Jim.
Answer:
Length of the string let out by Jim is 156.9 m.
Step-by-step explanation:
From the figure attached,
Jim observes the angle of elevation of the kite = 85°
And Patty observes the angle of elevation of the kite = 40°
Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°
Distance between Jim and Patty = 200 m
Let the length of the string between Jim and the kite = x meters
By applying Sine rule in the triangle formed between Jim, Patty and the kite,
[tex]\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}[/tex]
x = [tex]\frac{200\times \text{Sin}40}{\text{Sin}55}[/tex]
x = 156.94 m
≈ 156.9 m
Therefore, length of the kite string from Jim and the kite is 156.9 m.
Which shapes are not a polygon
Answer:
An unclosed shape or one with lines not straight.
Step-by-step explanation:
Answer:
I have provided a picture of the typical polygons so if an option doesn't look like this, then it's probably not a polygon. Also, polygons are any 2-d shape made with straight lines, so a circle or a 3D shape is wrong
Work out the length of BC .
Answer:
10
Step-by-step explanation:
Use the Pythagorean theorem: a^2+b^2=c^2 to find the hypotenuse
a=6
b=8
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
Hope this helps! :)
Answer:
10 cm.
Step-by-step explanation:
By Pythagoras:
BC^2 = 6^2 + 8^2
BC^2 = 100
BC = 10.
Consider the equation below
Answer: B
Step-by-step explanation:
Let's solve the given equation. Then we can see which other equation has the same answer.
-5n+31=-14n-5
36=-9n
n=-4
We need to fina another equation that gives n=4 as the answer.
A. Incorrect
3-6n+3n=-3+4-4n
3-3n=1-4n
n=-2
B. Correct
[tex]\frac{11}{4} n+2=-3+\frac{3}{2}n[/tex]
[tex]\frac{5}{4}n=-5[/tex]
[tex]n=-4[/tex]
C. Incorrect
1=0.75n+3.25
-2.25=0.75n
n=-3
D. Incorrect
-1-22n=-20n-9
8=2n
n=4
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Answer:
There were 12 people at the party
Answer:
Step-by-step explanation:
Other answers have already shown that there are n=12 people at the party, either using combinatorial choose notation
(n2)=n!2!(n−2)!=66
or by counting handshakes person by person, noting that each successive person has one fewer unique handshake than the prior (as the previously counted people are disregarded), and then using the sum-of-consecutive-integers formula to get
(n−1)+(n−2)+...+2+1=∑n−1k=1k=(n−1)n2=66
and solving for n .
Here I will provide another method of arriving at n(n−1)2=66.
Instead of keeping track of unique handshakes from the start, note that each person shakes hands with n−1 other people. As there are n people at the party, this gives us n(n−1) handshakes. However, notice that we counted each handshake twice; for example, if Alice and Bob shook hands, we counted that once for Alice, and then again for Bob. To account for the double-counting, we can divide by 2, which gives us the previously mentioned formula of n(n−1)2.
As a side note, if we did not previously know the sum formula, we could use this as a combinatorial proof to show that it works. Also, if we account for repeated counting by dividing by k! , the number of permutations of k objects, a similar method can be used to derive the chosen formula (nk)=n!k!(n−k)!.
What is the measurement of angle A to the nearest degree?
Can someone please answer the question in the picture?
Answer:
c = 68
Step-by-step explanation:
Use pythagorean theorem, which states that [tex]a^{2} +b^{2} =c^{2}[/tex].
In this diagram, we are given the values of a and b.
a = 32 b = 60
Simply put these into the equation.
(32)^2 + (60)^2 = c^2
1024 + 3600 = c^2
4624 = c^2
Find the square root of both sides to solve for c.
[tex]\sqrt{4624}[/tex] = c
c = 68
Which is more, 29 ounces or 1 pound?
29 ounces
1 pound
neither; they are equal
Answer:
29 ounces
Step-by-step explanation:
1 pound equals to 16 ounces
Answer:
29 ounces
Step-by-step explanation:
1 pound is 16 ounces so 29 ounces is equal to 1.8 pounds.
if the temperature at kiev city is 0 Celsius it rises by 6 Celsius over the next 6 hrs what is the temperature at 6pm
Answer:
6 Celsius
Step-by-step explanation:
Initial temperature at 12pm is 0 Celsius.
Rises by 6 (add by 6).
[tex]0+6[/tex]
[tex]6[/tex]