What is the value of x to the nearest degree?
8
15
Answer:
x ≈ 62°
Step-by-step explanation:
By applying tangent rule in the given right angled triangle,
tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(x) = [tex]\frac{15}{8}[/tex]
tan(x) = 1.875
x = [tex]\text{tan}^{-1}(1.875)[/tex]
x = 61.93
x ≈ 62°
Define what congruent means?
Answer:
identical in form or shape
Step-by-step explanation:
two triangles could be congruent as they both have 3 sides.
if 25 kilograms of butter cost $37.50, how much does 8 kilograms cost?
Answer:
$12
Step-by-step explanation:
37.50 / 25 = 1.5
1.5 x 8 = $12
Help me pls & thanksss
Answer:
135 degrees.
Step-by-step explanation:
Assuming that it is a regular octagon, you can use the formula (n-2) (180) divided by n. n = sides. Therefore, (8-2) (180) divided by 8, which is 135.
Answer:
135 degrees
Step-by-step explanation:
(just took that test!!)
(Asher)
A city currently has a population of 72,300 people the population will grow at a rate of 0.8% per year determine an exponential equation that can be used to predict c the miner of years it will take the population to reach 100,000 people
Answer:
Step-by-step explanation:
72,300 × 1.008^c = 100,000
1.008^c = 1,000/723
[tex]\huge\colorbox{pink}{An§wer}[/tex]
72,300 × 1.008^c = 100,000
1.008^c = 1,000/723
what is 6⅓ + 5 3/10 =
Answer:
11 19/30
Step-by-step explanation:
Given 6⅓ + 5 3/10
Convert to improper fraction
= 19/3 + 53/10
Find the LCM
= 19(10)+3(53)/30
= (190+159)/30
= 349/30
= 11 19/30
Hence the sum of the fractions is 11 19/30
Ms. Federman graded 5 papers in 40 minutes. At this rate, how many minutes will it take her to grade 30 papers?
Answer:
240 minutes
Step-by-step explanation:
If it's 40 minutes for just 5 papers, we need to figure how many minutes it would take to grade just 1. So you have to divide 40 by 5 which is 8. Then 8 time 30 which is 240.
Solve for x
3(4x-1)+9-x=2x+8+9x
Answer: no solution
Step-by-step explanation:
find the squaret of 22
Answer:
the square root of 22 is 4.69
Step-by-step explanation:
Answer:
4.69041575982
Step-by-step explanation:
find the square root of 22
Answer:
4.6
Step-by-step explanation:
Answer:
4.69041575982
Step-by-step explanation:
(1) The tuition T for one year at a college can be approximated by the equation T = 1/8 + 9 where x is the year since 2000, and T is tuition in thousands of dollars. Use this equation to estimate the tuition for one year at this college in 2020.
Answer:
Step-by-step explanation:
I’m assuming you meant to write
T = ⅛x + 9
T = ⅛(20) + 9 = 11.5
The required estimate of tuition for one year at the college in 2020 is $11500
Given,
The tuition T for one year at a college can be approximated by the equation.
T = 1/8x + 9 - - - - - - (1)
where x is the year since 2000, and T is tuition in thousands of dollars.
Tuition fee in the year 2020 to be calcuate.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The expression is given, since 2000
so the change in years
x = 2020 - 2000
x = 20
Put this x in equation 1
T = 20/8 + 9
T = 2.5 + 9
T = 11.5
SInce t is in thousand so Tuition fee = $11,500.
Thus, the required estimate of tuition for one year at the college in 2020 is $11500
Learn more about function here:
brainly.com/question/21145944
#SPJ2
PLEASE SOMEONE HELP ME PLEASE :(
Answer:
1 and 5= corresponding angles.
4 and 2=vertical opposite angle
3 and 6=co interior angle.
5 and 8=linear pair.
5 and 3= alternate interior angle
2 and 8=alternate exterior angle.
Answer:
Ezzzz i got u lol
Step-by-step explanation:
1 and 5 are corresponding
4 and 2 are vertical angles
3 and 6 are same side interior
5 and 8 are Consecutive interior
5 and 3 are alt interior
2 and 8 are alt exterior
Brainliest is much apreciated Hope i helped u
Three radar sets, operating independently, are set to detect any aircraft flying through a certain area. Each set has a probability of 0.03 of failing to detect a plane in its area. Consider one of the radar sets. What is the probability that it will correctly detect exactly three aircraft before it fails to detect one, if aircraft arrivals are independent single events occurring at different times?
Answer:
[tex]Probability = 0.00002619[/tex]
Step-by-step explanation:
Given
Let d represents the event that a radar detects an aircraft.
So:
[tex]P(d) = 0.03[/tex]
Required: Determine the probability that a radar detects three before it fails to detect 1.
This event is represented as: d d d d'
And the probability is calculated as thus:
[tex]Probability = P(d) * P(d) * P(d) * P(d')[/tex]
Using complement rule:
[tex]Probability = P(d) * P(d) * P(d) * (1 - P(d))[/tex]
So, we have:
[tex]Probability = 0.03 * 0.03 * 0.03 * (1 - 0.03)[/tex]
[tex]Probability = 0.03 * 0.03 * 0.03 * 0.97[/tex]
[tex]Probability = 0.00002619[/tex]
t−5≤−7=?????????????????????
Answer:
t≤−2
Step-by-step explanation:
t−5≤−7
add postive 5 on both sides
t≤-2
A single fair die is rolled. The number on the die is a 3 or a 5.
Answer:
whats the question...
Step-by-step explanation:
HURRY PLEASE HELP! GIVING BRAINLIEST!!
what goes into 120.160,80
Answer:
2, 4, 5, 10, 20, 40, 80
Suppose a new regulation that a maximum angle of a ramp for a wheelchairs is 8°. At least how long must the new ramp be? Round to the nearest tenth of a foot.
Answer:
The length of the ramp is at least 17.2 feet
Step-by-step explanation:
See attachment for the appropriate diagram.
The length of the ramp is represented with z
So, we have:
[tex]\theta = 8[/tex]
[tex]BC = 2.4[/tex]
Required
Find z
To find z, we make use of sine formula:
[tex]sin\theta = \frac{BC}{z}[/tex]
Make z the subject
[tex]z= \frac{BC}{sin\theta }[/tex]
So:
[tex]z= \frac{2.4}{sin(8)}[/tex]
[tex]z= \frac{2.4}{0.1392}[/tex]
[tex]z= 17.2ft[/tex]
The length is at least 17.2 feet
...........................
Kindred invested $38,976 into first company his investment decreased by 3.5% each years over the first 3 years. Which exponential decay model could use to determine the amount his investment will be worth if in continue to decrease at the same rate?
Answer:
35,025.08 x 0.965 ^ X = Y
Step-by-step explanation:
Given that Kindred invested $ 38,976 into First company, and his investment decreased by 3.5% each year over the first 3 years, to determine which exponential decay model could use to determine the amount his investment will be worth if it continues to decrease at the same rate the following calculation must be performed:
100 - 3.5 = 96.5
38,976 x 0.965 ^ 3 = 35,025.08
Thus, after 3 years of losses, the value of the account will be $ 35,025.08. In turn, if we wanted to determine the amount his investment will be worth if it continues to decrease at the same rate, the following equation should be applied:
35,025.08 x 0.965 ^ X = Y
In this case, X will be the number of years the investment has fallen, and Y will be the value of said investment after the years of decline.
4x + 112° Find x.
9x + 72°
Answer:x = 8 Step-by-step explanation:4x + 112 = 9x + 72-112 -1124x = 9x - 40-9x -9x-5x = -40----- -------- -5 -5x = 8
Explanation;
the answer is 5x=8
Is the volume of congruent figures for same
Answer:
Yes, the volume of congruent figures are the same.
Step-by-step explanation:
They are the same shape and size
Find the volume of the following prism using the formula V = Bh.
Answer:
260
Step-by-step explanation:
Volume of the base can easily be solved as:
[tex]\frac{1}{2} * 10 * 13 = 65[/tex]
Now multiply the result by the height:
[tex]65*4 = 260\\[/tex]
MP is the angle bisector of
Answer: ∠LMN
Step-by-step explanation: Since ∠LMN is a right angle
I WILL MARK BRAINLIST
The "Converse of the Pythagorean Theorem" states that if the sum of the square of the legs is = to the square of the hypotenuse then the triangle is a right triangle
TRUE
FALSE
Answer:
its true
Step-by-step explanation:
CAN YOU PLEASE MARK ME BRAINLIEST THANK YOU AND HAVE A NICE DAY!
#
A four group with 22 people in his getting rooms in a more to sny in to the
night. No more than 3 people can stay in each room. How many terms will
they need?
Answer:
To find the answer you will have to divide 22 by 3 so 7 with 1 person left over so you round up and there will be 8 rooms needed.
Hope I helped :)
A deli shop sells sandwiches for $4.85 each, including tax. The shop received a total of $63.05 from the sales of sandwiches one afternoon. Write and solve an equation that can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon.
Answer:
13 sandwiches were sold
Step-by-step explanation:
Can you please help me :) you are supposed to use a^2+ b^2 =c^2 format I will mark brainliest
13 is x
144+25=169
169 is 13 squared
Daniel's car used 8 gallons to travel 136 miles. How many miles can the car go on one gallon of gas?
QUESTION: Daniel's car used 8 gallons to travel 136 miles. How many miles can the car go on one gallon of gas?
ANSWER: 17
The sum of six times a number and thirteen is five less than the product of three and the number
Answer:
1 and 1/3
Step-by-step explanation:
I got this because you can first take 13-5 which is 8 then you can divide 8 by 6 to get your final answer.
Hope this helps.