A ladder is placed against a wall.
To be safe, it must be inclined at between 70° and 80° to the ground.
5.8m
O 11N/Ma1 lesson 3438
HERRER
1.5m
MM
G
(a) is the ladder safe?
Answer:
yes it is safe.
Step-by-step explanation:
Tan^-1 (5.8/1.5)
theta = 75.5
yes, it is safe
The angle is between 70° to 80°.
Yes, the ladder is safe.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan Θ = 5.8 / 1.5
Θ = tan (5.8 / 1.5)
Θ = 75.5°
The angle is between 70° and 80°.
Thus,
The ladder is safe.
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what is m<M to the nearest degree? show your work.
Answer:
27°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin theta = opposite/Hypotenuse
Opposite = 5
Hypotenuse =11
sin theta = 5/11
theta = arc sin (5/11)
theta = 27.035691789°
Approximately = 27°
Angle m<M = 27°
Find the volume of the triangular prism in the picture shown. Round your answer to the
nearest tenth. *
1: 167
2:77.3 yd
3: 77 yd²
Given:
A figure of a triangular prism.
Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
[tex]V=Bh[/tex] ...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
[tex]B=\dfrac{1}{2}\times base\times height[/tex]
[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]
[tex]B=2\times \dfrac{29}{3}[/tex]
[tex]B=\dfrac{58}{3}[/tex]
Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get
[tex]V=\dfrac{58}{3}\times 4[/tex]
[tex]V=\dfrac{232}{3}[/tex]
[tex]V=77.33...[/tex]
[tex]V\approx 77.3[/tex]
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
HELP FOR 20 POINTSSS
x =3 ; y=8.4
x = 3 ; y = 15
x = 6 ; y =7.5
x = 6; y =18
Answer:
The first one.
Step-by-step explanation:
solving for x:
5/2 = 7.5/x
cross multiply
2 ×7.5 =5x
x= 2×7.5/5
x= 3
solving for y:
values of the small triangle over the bigger triangle-
5/6 =7/y
cross multiply and solve for y
y= 8.4
therefore (x= 3; y= 8.4)
YOU ARE VERY WELCOME!
HELP PLEASE OMGGGGGGGGGGGGG
Answer:
7x-2+5x-10+4x=180°
16x-12=180
16x=192
x=192/16
x=12
Giorgio fenced off an area for a vegetable garden.
1
2
He made the garden 9 feet long and 8 feet wide.
2
3
What is the area of the vegetable garden?
a
.
b.
2.
L
37°
B
LABD =
LHFG =
d.
pls can anyone pls help!! asap and you will get brainliest if you are right
Answer:
1. no
2. yes
Step-by-step explanation:
can you please help me with this question?
-60 percent of the pizza have 12 slices. In total there are 216 slices in these pizza
-40 percent of the pizza have 10 slices. in total there are 120 slices of pizza
- there are 336 pizza slices
please help i don’t understand
Step-by-step explanation:
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The cost for 15 cases of oranges is $75. What is the cost for 1 case? *
Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically
Let O=oranges and Let G=Grapefruit
5O +8G=235
3O + 2G=85
To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.
Which would look like this
5O +8G=235
12O + 8G= 340
Then subtract the bottom from the top to get this
-7O=-105
Solving for O we divide both sides by -7, and end up with O=15
Plugging that value back into one of our original equations to solve for G we get this
3(15) + 2G= 85
45 +2G=85
2G=40
G=20
So 1 case of each altogether would equal 15+20, or $35.
Hope this helps have a awesome night/day❤️✨Step-by-step explanation:
Answer:
5
Step-by-step explanation:
help please :()
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in the simplest form.
What happens to the inequality sign when you multiply or divide by a negative
number?
Answer:
Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!
Step-by-step explanation:
Answer:
It switches sides
Step-by-step explanation:
Example 2<4, 2<4(-2)=2<-8
Ray has 3 1/2 gallons of maple syrup. He fills nine 1 quart bottles with syrup and gives them away how many quarts of maple syrup does he have left
Answer:
5 quarts
Step-by-step explanation:
3.5 gal - 9 quarts = 1.25 gal, or 5 quarts.
The number of quarts of maple syrup Ray has left is 4.75 quarts.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, Ray has [tex]3\frac{1}{2}[/tex] = 7/2 =3.5 gallons of maple syrup.
Ray fills [tex]9\frac{1}{4}[/tex] = 37/4 = 9.25 quarts.
We know that, 1 gallon = 4 quarts
Here, the number of quarts of maple syrup left
= 3.5×4-9.25
= 14-9.25
= 4.75 quarts
Therefore, the number of quarts of maple syrup Ray has left is 4.75 quarts.
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help please quick!!!
Answer:
9,000 is the answer you are looking for
Find the tangent of ∠T
Answer:
tangent angle T = 2.3999
Step-by-step explanation:
sin T = 48/52 = 0.9231
angle T = 67.3801 degrees
tangent angle T = 2.3999
Find the exact value of x.
Thank you
Answer:
Step-by-step explanation:
Using the same proportion as the previous question
11/x = x / 8 Cross multiply
x^2 = 88 Factor 88 into at least 1 perfect square and something
x^2 = 4 * 22 Take the square root of both sides
x = sqrt(4 * 22)
x = 2*sqrt(22)
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answer:
triangle
Step-by-step explanation:
NEED HELP!!! What are the missing measures???
Answer:
jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90
Step-by-step explanation:
A bag holds 4 red marbles, 3 green marbles, 2 yellow marbles, and 1 blue marble. You pull one out without looking. What is the probability that you pull a marble that is not green?
Answer:
the probability of pulling a marble that is not green is 7/10
Answer:
- 7 / 10
- 70%
Step-by-step explanation:
4 red + 3 green + 2 yellow + 1 blue = 10 marbles
If you remove green marbles:
4 red + 2 yellow + 1 blue = 7 marbles
So the probability of not pulling a green marble is 7 out of 10.
Slope Instruction: Calculate the slope of the two points. (8,6)(2, 12) m
The measure of one angle is 130. Which statement is true regarding the 130 angle and angle 3?
Answer: The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°.
Step-by-step explanation:
answer:
the answer is b
Angle P and angle Q make a
90° angle.
Angle P = 62°
Angle Q = 4x
What is the value of x?
Hope this helps
Substitute the values of angles P and Q in an equation that equals 90 degrees
62° + 4x = 90°
Then isolate the variable by first subtracting 62 from both sides
62 + 4x = 90 → 4x = 28
-62 -62
Then divide both sides by 4
4x = 28 → x = 7
/4 /4
What's true about a regular polygon?
Answer:
Both the angles and sides are congruent.
Answer:
B
Step-by-step explanation:
I think
HURRY HELP i need helppp
Answer:
that answe is b
Step-by-step explanation:
b because i took this test
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Information : Ali makes $50 in savings a month. Also i need the months of the fee and ali to go up to 12 months. thank youuu
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.
Answer: Choice D
They should be blocked by pain resistance so the subjects are as similar as possible.
============================================================
Explanation:
The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.
Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.
This is why choice D is the final answer.
-------------
Extra info:
Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.Answer:D
Step-by-step explanation:
This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D
I need help pls can someone help pls
= 23.5
hope it helps
HELP QUICK PLEASEEEEEEE
(ILL MARK BRAINLIEST)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
Answer:
D.) or (2, -1)
Step-by-step explanation: