Answer:
2.52
Step-by-step explanation:
QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.
Answer:
the other sides are 6 and 3√3
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Right Triangle
We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.
The triangle is shown in the figure attached.
The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:
[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]
Solving for y:
[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]
Since:
[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]
[tex]\displaystyle y=3\sqrt{3}[/tex]
Now applying the sine to find the hypotenuse x:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]
x = 6
A baby weighs 8 pounds. How many kilograms is it equal to?
Explain your reasoning. Note: 1 pound equals 0.45 kilograms.
Please hurry
Answer:
3.6
Step-by-step explanation:
if 0.45 is 1 pound then you could do 8 x 0.45 because the baby is 8 pounds
the product of two number is 20 and the sum of square is 41 find the number
Answer:
Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.
A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120
Answer:
ne hamla que estas no habla espanol
Step-by-step explanation:
que
PLEASE HELP 17 points
Answer: I say B its a bit hard but i think i got it not sure but Good Luck!
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
When dilating a shape, you need to take the side length and multiply it by the scale factor.
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is
[tex] \frac{9}{5} [/tex]
Which set of ordered pairs is linear?
A. {(2, 1), (5, 1), (6, 1)}
B. {(-1, 4), (0, 0), (1, 6)}
C. {(-3, 5), (1, 0), (2, 4)}
D. {(0, 0), (1, 3), (2, 7)}
3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y?
please add an explanation.
3(x+y)=y
y is not equal to zero
*Solution
1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,
3(x+y) = y
3x + 3y = y
Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give
3x = -2y
Dividing both sides of the equation by 3,
x = (-2/3)y
Dividing both sides of the equation by y,
x/y = -2/3
Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.
Students were asked to choose their favorite sport
and 5/9chose either basketball or soccer. If 1/9 of the
students chose basketball, what fraction chose
soccer?
Answer:
5/9-1/9=4/9
Step-by-step explanation:
5/9 chose basketball or soccer. 1/9 chose basketball.
answer is 4/9You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?
Answer:
Step-by-step explanation:
In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.
A job pays $10.00 an hour today.If the same percentage applies to income as well as bread {previous slide}, how much would that job have paid 1955
Answer:
67 cents
Step-by-step explanation:
Answer:
67 cents
Step-by-step explanation:
im smart
Which operation should you perform first in the expression 12x4 to the 2 power
Answer:
96
Step-by-step explanation:
12 times 4 gets you 48
48 times 2 gets you 96
PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I PROMISE ILL MARK BRAINLEIST PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Stephanie swims 4/5 of a mile in 5/6 of an hour.
Enter the number of miles Stephanie swims in 1 hour.
Hi.. U should do like this
4/5 mile in 50 min
X mile in 60 min
X=5/4 mile
Answer:
5 milesss
:)))
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
PLEASE I NEED HELP RIGHT NOW PLZZZ!!!
Answer:
A.elastic potential energy I Hope It Helpsy = |cosx|
any body can answer my question
Please help with this worksheet
real numbers
I DO NOT KNOW JUST GIVE ME A SECOND.
help asap:)! i will give brainliest
2/3 is the correct answer
How to Simplify (7x+2)+(x+8)-2x
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
True or false: (x−6) is a factor of 4x3−18x2+3x−13.
Answer:
The answer is false
Which of number below are whole numbers
Answer:
D and F
Step-by-step explanation:
Numbers such as 0,1,2,3 etc are Whole numbers
Answer:
Your answer is D and F
Step-by-step explanation:
because only 951 and 3 are the numbers with no points and whole numbers require this..
HOPE THIS HELPS YOU
PLS MARK AS BRAINLIEST
find the cube root of 0.000216
Answer:
0.06
Step-by-step explanation:
hope that helps :))
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
Evaluate: (2.3)2
I need help fast !!!!!!!!!!!!!!!!
Answer:
4.6???
Step-by-step explanation:
Answer: 4.6
(2.3)2
2.3+2.3 = 4.6
9.66 rounded to 1 decimal place
Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
please mark brainelist!!!
Help plis plis
18. Find the sum of (x + 3) and
(- x - 4).
Help plis
Answer:
-1...................
Step-by-step explanation:
x+3-x-4
o-1
-1
Answer :
-1
Explanation:
please mark me brainliest and follow me my friend.
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend
Answer:
FGCG
Step-by-step explanation:
Answer: 72 dollars
Step-by-step explanation:
each=1
1 record cost 9$
8 record costs (9)(8)$
I did multiplication here
(9)(8)=72 $
help I'm confused there are many formulas, and do not know which one is right
9514 1404 393
Answer:
384 cm²
Step-by-step explanation:
It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.
__
Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.
The formula for the area of a square is ...
A = s² . . . . . where s represents the side length
Here, the side of the square is 12 cm, so the area of the square base will be ...
A = (12 cm)² = 144 cm²
__
The formula for the area of a triangle is ...
A = 1/2bh . . . . . where b is the base length and h is the altitude
In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.
Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.
In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:
slant height = √(8² +6²) = √100 = 10 . . . . cm
Now, we can find the area of one of the four triangular faces:
A = (1/2)(12 cm)(10 cm) = 60 cm²
__
The surface area of the pyramid is then ...
surface area = base area + 4 × triangular face area
surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²
surface area = 384 cm²
The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14
Answer:
18
Step-by-step explanation: