Answer:
y≈94.31
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the 90 degree angle), the measure of one of the legs (one of the sides that make up the right angle) as 46, the other one as y, and one of the angles as 26°
We want to solve for y
We can use a trigonometric ratio to do that.
First, let's recall the three most-well known ratios:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we are given one of the angles, let's find out which sides are the opposite, adjacent, and hypotenuse, in reference to the given angle (the 26° angle)
In reference to that angle, the side opposite to that angle (also the side known as "opposite) is the side marked as 46, the adjacent side is y, and the hypotenuse is the unmarked side
Since we know the opposite and adjacent, let's use the ratio for tangent
Since we based our labels off of the 26 degree angle, the tangent ratio is the tangent OF 26, or tan(26)
tan(26)=[tex]\frac{46}{y}[/tex]
Now we need to solve the equation
Start by multiplying both sides by y
tan(26)*y=46
Divide both sides by tan(26)
y=[tex]\frac{46}{tan(26)}[/tex]
Plug [tex]\frac{46}{tan(26)}[/tex] into your calculator, and remember to have the calculator on degree mode
[tex]\frac{46}{tan(26)}[/tex]≈94.31
Remember that [tex]\frac{46}{tan(26)}[/tex] is equal to y, which means that y is about 94.31
Hope this helps!
What kind of decimal is 0.05? How do you know?
Answer:
0.05 is a terminating decimal
Step-by-step explanation:
0.05 is a terminating decimal because it has finite digits.
Answer:
a terminating decimal
Step-by-step explanation:
it has finite digits and when 1 is divided by 20, it leaves no remainder
mark me brainliest :D
How to write the value of 17 tens in standard form
Is p→q≡∼p∨q true or false?
Show that (p → q) ∨ (p → r) and p → (q ∨ r) are logically equivalent. By the definition of conditional statements on page 6, using the Com- mutativity Law, the hypothesis is equivalent to (q ∨ ¬p) ∨ (¬p ∨ r). ... This means that the conditional from the second-to-last column the last column is always true (T).
hi people a pus 7 a= 16000
Answer:
A=2285.71428571 or rounded up is 2286
Step-by-step explanation:
7A=16000
7. 7
A=2286
Divide 7A to get A alone
:D hope i was able to help
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See Below
Step-by-step explanation:
<4 and <8 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.
<1 and <8 are on the outside, meaning they are exterior and on opposite sides. This means they are alternate exterior angles.
<1 and <5 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.
<4 and <7 are on the inside, meaning they are interior and on the same side. This means they are same side interior angles.
Complete each short proof by providing the reason.
Answer:
B) Substitution Property of EqualityStep-by-step explanation:
According to the given:
m∠2 + m∠5 = 180° andm∠5 = 90°Substitute m∠5 into the first line to get line 3:
m∠2 + 90° = 180°This is option B:
Substitution Property of EqualityOption C
This is substitution property of inequality
Here given two expressions
m<2+m<5=180°m<5=90°Substitute m<5 in eq(1)
m<2+90=180m<2=180-90m<2=90what is 5 ft to 18 in.
Answer:
68 inches
Step-by-step explanation:
its sixty eight inches
y=1/2(x+8)+3 please show work also write in y=mx+b
Answer:
y = 1/2x + 7
Step-by-step explanation:
y= mx + b is written in slope- intercept form. Plug in the numbers.
you distribute 1/2 to x and to 8
y= 1/2x + 4 + 3
simplify
y= 1/2x + 7
the problem can't be anymore simplified
If you have any questions pls ask!
1/4 times the sum of a number and −3.2 is 1.8. What is the number?
Answer:
10.4
Step-by-step explanation:
Let the number be x
Sum of x and -3.2 : x + (-3.2) = x - 3.2
1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)
[tex]\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \ 3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\[/tex]
x = 10.4
Answer:
10.4
ANSWER:
(10 2/5)
Step-by-step explanation:
k12
The survey below shows a science test grades from one state
What type of graph would be the most appropriate to use to graph the information
A. Double bar graph
B. Line graph
C. Histogram
D. Double line graph
Please help ASAP thanks:)
Answer:
A. [tex]\frac{rs-t}{2}[/tex]
Step-by-step explanation:
Given the expression [tex]s = \frac{2x+t}{r}[/tex] isolate [tex]x[/tex]
The first step is multiply both sides by [tex]r[/tex] then you have
[tex]sr = 2x + t[/tex]
know substract both sides by [tex]t[/tex]
[tex]sr - t = 2x[/tex]
The last step is multiply by [tex]\frac{1}{2}[/tex] both sides of the equation and get the answer
[tex]\frac{sr - t }{2} = x[/tex]
Raul can hit a golf ball 26.4 yards.A.J. can hit a golf ball 10 times as far how far can A.J. hit the ball
Help this is due today!!!!
Answer:
The second option: 3.5x+685[tex]\leq \\[/tex]85
Step-by-step explanation:
The addition fee is 6 meaning adding not subtracting. Cancel out the first and last one. Then, it says without going over. Meaning it could equal exactly $85. Which means [tex]\leq[/tex]. So it would be the second option.
Solve this equation by completing the square 2 −12 + 36 = 44. Show your work. No other method will be accepted
Iḿ sorry I cannot be specific but it´s either 12.633 or 0.6.33
Sorry if it is not helpful
Charlene operates an oil change and tune up service she chargers $33.95 per oil change a tune up is $72.50 for a four cylinder engine,$82.50 for a six cylinder engine and $92.50 for an eight cylinder engine what are the chargers for a week in which Charlene’s facility did 35 oil changes and tuned 5 four cylinder engines 7 six cylinder engines and 2 eig cylinder ht engines
There are 22 children at the park. 5 children are on the swings. The rest of the children are playing ball. How many children are playing ball?
Answer: 17
Step-by-step explanation:
22-5=17
2/3(x-6)=6 what value does x have to be to get 6
Answer:
The X would have to be 12!
Step-by-step explanation:
Because 2/3 is 6, 6 x 2 = 12 - 6 = 6
Answer:
15
Step-by-step explanation:
Using gemdas you would have to work in the parenthesis first and 15-6 is 9 multiplied by 2/3 is 6
Help me for 100 points yessir thanks you
Answer:
Step-by-step explanation:
what is 10000 times 12
Answer: 120,000
Step-by-step explanation:
10,000 x 12 = 120,000
.A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83,500.
There is 1.70% that 50 homes have a value greater than $83,500.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard \ deviation,n=sample\ size[/tex]
μ = $82000, σ = 5000, n = 50. Hence for x > 83500:
[tex]z=\frac{83500-82000}{5000/\sqrt{50} }\\\\\\z=2.12[/tex]
From the normal distribution table, P(x > 83500) = P(z > 2.12) = 1 - P(z < 2.12) = 1 - 0.9830 = 0.0170 = 1.70%
Find out more at: https://brainly.com/question/7449180
A tortoise or land turtle might cover about 450 feet in half an hour. What is this speed in feet per minute.
Please explain step by step and I’ll mark you brainliest!
Answer:
15 feet per minute.
Step-by-step explanation:
speed = distance ÷ timespeed = 450 feet ÷ 30 minutes15 feet per minute = 450 feet ÷ 30 minutesA manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hours, with a standard deviation of0.20 hours. A consultant has developed a new instruc- tional booklet intended to reduce the time an inexpe- rienced kit builder will need to assemble the device. In a test of the effectiveness of the new booklet, 15 nov- ices require a mean of 2.90 hours to complete the job. Assuming the population of times is normally distrib- uted, and using the 0.05 level of significance, should we conclude that the new booklet is effective? Determine and interpret the p-value for the test.( DATA SET ) Note: Exercises 10.33 and 10.34 require a computer and statistical software.
Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:
[tex]H_0: \mu = 3[/tex]
At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:
[tex]H_1: \mu < 3[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\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.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are: [tex]\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}[/tex]
[tex]z = -1.94[/tex]
The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.
Looking at the z-table, z = -1.94 has a p-value of 0.0262.
Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
A similar problem is given at https://brainly.com/question/25413422
What are the solutions to the following equation?
Answer:
What equation?
Step-by-step explanation:
How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?
Answer:
I believe it's 2401.
Step-by-step explanation:
7 x 7 x 7 x 7 = 2401
Answer:
2 answers.
Step-by-step explanation:
ANSWER 1: With Repetition
Numbers: 1,2,4,5,7,8
There are 4 digits __ __ __ __
1st digit can be filled by any of the 6 numbers.
Similarly 2nd, 3rd and 4th digits.
Hence each digit will have 6 possibilities.
Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296
ANSWER 2: Without Repetition
4 digits __ __ __ __
Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities
The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.
Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.
Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360
6. Light travels about 180 million kilometers in 10 minutes. How far des trave
minute? How far does it travel in 1 second? Show your reasoning,
from Unit 2, Lesson 9.)
260 Student Edition
Grates in KM
Answer:
The light travels distance in 1 minute=18 million kilometers
The light travels distance in 1 second=0.3 million kilometers
Step-by-step explanation:
We are given that
Light travels total distance in 10 minutes=180 million kilometers
We have to find the distance travels by light in 1 minute and in 1 seconds.
By unitary method
Distance travel by light in 1 min=million kilometers=18 million kilometers
Distance travel by light in 1 min=18 million kilometers
We know that 1 minute=60 seconds
In 60 seconds, light travels distance =18 million kilometers
In 1 second, light travels distance = million kilometers
Hence, the light travels distance in 1 minute=18 million kilometers
The light travels distance in 1 second=0.3 million kilometers
Hope this helps, have a nice day/night! :D
in order to select new board members, the french club held an election. 8 members voted in the election and 42 did not vote. what percentage of the members voted
Answer:
16%
Step-by-step explanation:
If you do 8+42, you will find out there are 50 members. Do 8/50 and you get 0.16. Multiply it by 100 and you get your answer of 16, add the percentage at the end. Then you get your answer of 16%.
Answer:
16%
Step-by-step explanation:
Total members: 8+42 = 50
What percentage is 8 of 50
x/100 = 8/50
(8 * 100) / 50 = 16%
The width of a rectangular painting is 3 in. less than the length. The area of the painting is 40 in ^2 .Find the length and width.
Answer:
Mark me as brainlist
Step-by-step explanation:
a) (h + 5)(2h + 8) is the expression for the combined area of the painting and frame
b) The combined area when h = 12 is 544 square inches
c) The combined area when h = 15 is 760 square inches
Solution:
Given that,
A frame that is 2.5 inches wide goes around the painting
The frame will go around all 4 sides of the painting.
That means that the length of each side of the painting will increase by 2.5 inches
Therefore,
The height of painting and frame is:
h = h + 2.5 + 2.5
h = h + 5
(2.5 inches on the top and the bottom)
Also given that,
Width of a rectangular painting is 3 inches more than twice the height
w = 3 + 2h
Now the width of painting and frame is:
w = 3 + 2h + 2.5 + 2.5
(Again, 2.5 inches on the top and the bottom)
w = 2h + 8
Thus the combined area of the painting and frame is:
B) Substitute h = 12 inches
Thus the combined area when h = 12 is 544 square inches
C) Substitute h = 15 inches
Thus combined area when h = 15 is 760 square inches
The angles of a triangle add up to 180 degrees.
The second angle is 25 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Given the figure below, find the values of x and z.
Answer:
x=5, z=107
Step-by-step explanation:
z=107 (vert opp angles)
z+13x+8=180 (adj angles on a str line)
107+13x+8=180
13x+115=180
13x=180-115
=65
x=65÷13
=5
HELP ASAP WILL MARK BRAINLIEST PLEASE!!
Express your answers in simplest form. An isosceles triangle has a base with a measure of u cm. If the triangle has a perimeter of 16 cm, what is the measure of one of its legs in terms of u?