Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
Find the area of the right triangle.
Answer:
Step-by-step explanation:
Comment
The area of a right triangle is the product of the two smaller legs divided by 2.
Givens
Horizontal Leg = 4 units.
Vertical Leg = 8 units
Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...
Solution
Area = 4 * 8 / 2
Area = 32 / 2
Area = 16
Answer
Area = 16
can you please help me solve the problem
Answer:
a
Step-by-step explanation:
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
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Hi guys !
Find the missing angle in the given figure .
All the best *
Answer:
third angle: 50°
Explanation:The interior angles of a triangle sum ups to 180°.
Here given two angles: 95°, 35°, x - Let the missing angle be x
When they sum up, they equal to 180:
x + 35 + 95 = 180
x + 130 = 180
x = 180 - 130
x = 50
Given two angles are 35° and 95°
Let the unknown angle be "x"
We know that sum of angles of a triangle is 180°
Therefore,
[tex]\sf{35°+95° + x = 180°}[/tex]
[tex]\sf{130° + x = 180°}[/tex]
[tex]\sf{x = 180°-130°}[/tex]
[tex]\sf{x = 50°}[/tex]
Hence, the missing angle is 50°.
Help pretty please?.?.?? Prize is 20 points :)
Answer:
7
Step-by-step explanation:
Because 2x-4 equals -8
Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction
The conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
How to determine the true conditional probabilities ?The conditional probability P(A|B) is calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula and the data in the complete question (see attachment), we have the following computations:
P(D | F) = 6/34
P(E | D) = 7/25
P(D | E) = 7/18
P(F | E) = 8/18
P(E | F) = 8/34
By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
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Answer:
A, B, D
Step-by-step explanation:
yw :)
Jonah bought 4 boxes of donuts that each contained 12 donuts. When he gets to work, he will serve the donuts on 5 plates. If he puts the same number of donuts on each plate, what is the greatest number of donuts he could put on each plate?
Can a triangle have sides with the given lengths?
9 cm, 4 cm, 11 cm
If the length of a rectangle is 2x + 4 and the width is x - 2. write
an expression to represent the perimeter of the rectangle.
Will Give BrainlyIst
Answer:
P = 6x +4
Step-by-step explanation:
Use the given values in the formula for the perimeter of a rectangle:
P = 2(L +W)
__
You have ...
L = 2x +4
W = x -2
So, the perimeter is ...
P = 2((2x +4) +(x -2)) = 2(3x +2)
P = 6x +4
The perimeter of the rectangle is 6x+4.
Please see attached question 3 of 25
Answer:
2(3x+4)
Step-by-step explanation:
Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2
2 x 3x = 6x
2 x 4 = 8
There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8
Option 2(3x + 4 ) is correct.
Step-by-step explanation:
We have equation 6x + 8 .if we take 2 as common, then we will get 3 x and 4 .As we know 2×3= 6 and 2×4 = 8 .=> 2 ( 3x + 4 ) = 6x + 4 .
Isabel works for a company that makes toys. She is trying to figure out what types of toys kids enjoy playing with most. She started with a survey asking whether kids liked dolls or trains. She surveyed 80 kids. Of the kids who don't like dolls, 30% more kids like trains than don't like trains. Fill out the rest of his table.
The table that represents the survey conducted by Isabel is:
Like Dolls Don't like Dolls Total
Like Trains 40 15 55
Don't like Trains 17 8 25
Total 57 23 80
How can the table be filled?The total number of kids that like dolls = total number kids - total number of kids that don't like dolls
80 - 23 = 57
Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that like Trains and dolls
57 - 40 = 17
Number of kids that don't like dolls and but like trains :
30% x 23 = 7
(23 - 7) /2 + 7 = 15
Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8
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PLEASE HELP 15 POINTS!!!
Sequence: 24 + 12 + 6 + 3 +...
Explanation:
This is infinite geometric series converges.
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 24r = 12 ÷ 24 = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This is series has a sum of 48.
Surface area and radis
Answer:
what do you want to say......?
which inequality is represented by this graph?
Answer:
the answer is A for the shaded region
Two angles are complementary. One angle measures (x+15) degrees and the other angle measures 40 degrees solve for x
Answer:
x = 35
Step-by-step explanation:
Complementary angles refers to a pair of angles which add up to make a 90° right angle.
Lets assume them as Angle A And Angle B.
Angles A = 40°
Angles B = x+15
Angle A + Angle B = 90°
40+15+x = 90°
x = 90 - 55
x = 35°
So, x = 35°
Find p write your answer in simplest radical form
Answer:
[tex]p =[/tex] [tex]7\sqrt{2}[/tex]
Step-by-step explanation:
The side length ratio for a 45-45-90 angle triangle is [tex]1:1:\sqrt{2}[/tex]
The length of the bottom adjacent side of the 90-degree angle is 7, so p would be [tex]7\sqrt{2}[/tex]
in its Simpliest form, The Ratio of 825g to 1kg
Answer:
Step-by-step explanation:
1g = 0.001 kg.
82.5g = 0.001 x 82.5 kg
= 0.0825 kg
= 825/1000 kg
Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER
Answer:
Your answer is in the picture.
Step-by-step explanation:
Visit the website if you want to factor polynomial.
Calculate the median of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5 ,7 ,3?
Check the picture below.
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
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What are the answers to these 3 problem 3 is how tall the tree was before it was broken
What is the area of triangle TUV?
Answer:[tex]5.25cm^2[/tex]
Step-by-step explanation:
The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:
1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2
The area = [tex]5.25 cm^2[/tex]
Gary's daily jogging track is 0.9 miles long. In how many days will she have covered a distance of 27 miles?
Answer:
30 days.
Step-by-step explanation:
27 ÷ 0.9 = 30.
Answer:
in 30 days she will reach 27 miles.
Step-by-step explanation:
27 miles / 0.9 miles = 30 days
Evaluate the following expression when t=5 when t^2-2t-2
Answer:
13Step-by-step explanation:
Evaluate the following expression when
t=5 when t^2-2t-2
replace t with 5 and remember PEMDAS
5² - 2 * 5 - 2 =
25 - 10 - 2 =
13
Answer:
when t=5
5² - 2×5 -2 = 13
hope it's right
30% tip on a bill of $150.47
Answer:
45.141 or if you round 45.14
Step-by-step explanation:
150.47 x 0.30 = 45.141
A cube has edge length of 12 in. Find its volume.
Answer:
1728 units^3
Step-by-step explanation:
The volume of a cube is given by the formula: a^3, where a is edge length.
a^3
(12)^3
1728
Can someone help me with this?
Answer:
B
Step-by-step explanation:
4x4= 8
10x10= 20
8+20= 28
5x2= 10
9x2= 18
10+18= 28
Answer:
[tex]4x + 10y = 28 \\ 5x + 9y = 28 \\ 10y = 28 - 4x \\ y = \frac{28 - 4x}{10} \\ y = 2.8 - 0.4x \\ 5x + 9(2.8 - 0.4x) = 28 \\ 25.2 - 3.6x + 5x = 28 \\ 1.4x = 2.8 \\ x = 2 \\ [/tex]
[tex]y = 2.8 - 0.4 \times 2 \\ y = 2[/tex]
B
What percent of 75 is 24?
Answer:
Your Answer is 32%Explaination:
We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.
We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1 >> Y = 24
75
STEP 2 >>
24 × 100 = 32
75 × 100 100
STEP 3>> Y = 32%
Finally, we have found the value of Y which is 32 and that is our answer.
You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.
Answer:
32
Step-by-step explanation:
(75/100) × X = 24
75X = 2400
75X/75 = 2400/75
X = 32
32% of 75 gives you 24
Find the value of y, rounded to the nearest tenth
Answer:
3.9 to nearest tenth.
Step-by-step explanation:
Using the theorem of intersecting chords:
9 * y = 5 * 7
y = 35/9
= 3.888...
Simplify 2x - 4) + 7(x + 2).
9x + 6
9x - 4
09x - 6