Answer:
[tex] x\approx 18.0[/tex]
Step-by-step explanation:
Here, a = 30, b = 16, C = x
By law of cosines
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos C \\ \\ {x}^{2} = {30}^{2} + {16}^{2} - 2 \times 30 \times 16 \: cos 30 \degree \\ \\ {x}^{2} = 900 + 256 - 960 \times \frac{ \sqrt{3} }{2} \\ \\ {x}^{2} = 1156 - 480 \times \sqrt{3} \\ \\ {x}^{2} = 324.615612 \\ \\ x = \sqrt{324.615612} \\ \\ x = 18.0170922 \\ \\ x \approx \: 18.0[/tex]
Please help me with these please i give brainliest.
Answer:
the answer is x<4
and the line is an open circle line going to the left from positive 4 onward
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)
I need help pls can someone help pls
= 23.5
hope it helps
What's true about a regular polygon?
Answer:
Both the angles and sides are congruent.
Answer:
B
Step-by-step explanation:
I think
ABC
A rectangular prism has a volume of 990 feet cubed, a width of 9 feet, and a height of 10 feet. What is the measure of the length of the
prism
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.
Which of the following choices is the definition for a "variable"? *
Answer:
a symbol, usually a letter, used to represent a number in mathematical expressions or sentences
Step-by-step explanation:
Hope it helps
Answer:
4) choice 2, "a symbol, usually ......."
5) choice 1, "one variable equals ...."
Step-by-step explanation:
a term is either a single number or variable, or the product of several numbers or variables.
a
.
b.
2.
L
37°
B
LABD =
LHFG =
d.
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
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
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
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:
HURRY HELP i need helppp
Answer:
that answe is b
Step-by-step explanation:
b because i took this test
HELP QUICK PLEASEEEEEEE
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?
help please quick!!!
Answer:
9,000 is the answer you are looking for
Please help asap will mark brainliest if right #32 points!
1a.) -5.36
Franco is requesting a group of negative numbers, so in this case, -5.36 is negative and would fall under that category.
1b.) 4.6272727
Mai is requesting the group to have repeating decimals, in this case, 4.62727 would work.
The cost of chartering a bus for the great america trip was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. dividing the cost evenly among all 30 students brought the average cost down by $9.00 per person. What was the total cost of chartering the bus? Please answer me with an explanation
Answer:
20c= 30(c-9)
Step-by-step explanation:
The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.
Let c be the cost per student originally.
The cost of the bus has not changed, so the cost/student * the number of students has not changed:
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.
NEED HELP!!! What are the missing measures???
Answer:
jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90
Step-by-step explanation:
YO SOMEBODY HELP PLS IM STUCK
Answer:
X is less than or equal to -3
Hope that answers your question
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
HELP PLEASE OMGGGGGGGGGGGGG
Answer:
7x-2+5x-10+4x=180°
16x-12=180
16x=192
x=192/16
x=12
please help i don’t understand
Step-by-step explanation:
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pls can anyone pls help!! asap and you will get brainliest if you are right
Answer:
1. no
2. yes
Step-by-step explanation:
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
regan's website had 7 links on each of 9 pages. how many links did she have on her website? i need equation and solution!!
Answer:
63
Step-by-step explanation:
all you need to do is 9*7
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
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
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!