Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?
Answer:
s
Step-by-step explanation:
A)$150 at 3 % interest for 2 years
B)$750.00 at 1/2% interest for 3 years C) $2,250.00 at 1 3/4% interest for 1 year
D)$2.550.00 at 3 1/4 interest for 4 years
Answer:
A) 159.135 = X
B) 2,531.25 = X
C) 6,187.5 = X
D) 831,947.46 = X
Step-by-step explanation:
The following investments are required to be calculated:
A) $ 150 at 3% interest for 2 years
B) $ 750.00 at 1/2% interest for 3 years
C) $ 2,250.00 at 1 3/4% interest for 1 year
D) $ 2,550.00 at 3 1/4 interest for 4 years
Therefore, the following calculations must be performed:
A)
150 x (1 + 0.03) ^ 2 = X
150 x 1.03 ^ 2 = X
159.135 = X
B)
750 x (1 + 0.5) ^ 3 = X
750 x 1.5 ^ 3 = X
2,531.25 = X
C)
2,250 x (1 + 1.75) = X
2,250 x 2.75 = X
6,187.5 = X
D)
2,550 x (1 + 3.25) ^ 4 = X
2,550 x 4.25 ^ 4 = X
831,947.46 = X
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.
Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.
Answer:
[tex]5+2.25m=38.75[/tex]
Step-by-step explanation:
Let [tex]m[/tex] represent the number of miles to Jazmin's home.
Initial cost to pick Jazmin [tex]=\$5[/tex]
Cost per mile [tex]=\$2.25[/tex]
Therefore,
Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]
Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles
= [tex]5+2.25m[/tex]
Also, total cost incurred [tex]=\$38.75[/tex]
So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]
Write 8/15 as a decimal. If necessary round your answer to the nearest
hundredth.
Answer:
53%
Step-by-step explanation:
8 divided by 5 is equal 0.533333333
8/15 (just divide) is equal to 0.5333... or 0.54
:)
On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday.
Answer:
3/100 × 30000 is the answer to your question.
Due VOL
One number is 2 more than 2 times another. Their product is 12. Find the numbers.
What net is shown below?
rectangular prism
square pyramid
triangular pyramid
triangular prism
Answer:
Square pyramid.
Step-by-step explanation:
Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.
I hope this helps! Good luck!
(please give me brainliest!)
A model rocket builder moved 50 feet away from the base before launching his model rocket straight up in to
the air. The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees.
What is the maximum height reached by the rocket?
Answer:
tan(84)=x/50
please mark as brainliest
7•2 + 7•23= pls help
Answer:
175
Step-by-step explanation:
if thats what you mean
Answer:
175
Step-by-step explanation:
7 times 2=14
7 times 23=161
161+14=175
hope this helps:)
plz can i get brainliest
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test?
a. There is a 26.23 percent chance that grade level and how a student commutes to school are independent.
b. There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school.
c. Assuming there is no association between a student's grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
d. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
e. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.
Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
[tex]\mathbf{H_o :}[/tex] A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
[tex]\mathbf{H_1: }[/tex] There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer: C
Step-by-step explanation: Because the p value is less than 0.05 you know that your null hypothesis can be rejected and thus your alternative can have significant evidence to be proven. Thus you can eliminate answer choices B, and E. A and B can be rejected because your p value from your chi square test is telling you the likelihood of your chi square falling in a certain category of the graph.
Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If
Please help, will give brainliest
4y^2 +9=x
Standard form?
Answer:
y = 1/2 ⋅ √ x − 9
y = − 1 /2 ⋅ √ x − 9
Step-by-step explanation:
Given z, find lzl.
Z = 10i
IzI = [?]
Answer: it's 10, not 210.
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
19. √12
rational ir iraational
Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<VUR and <TUR; <VUW and <VUR; <VUW and <TUW; <SRP and <SRU
Step-by-step explanation:
All the angles that are next to each other would be considered ajacent.
Please tell me please
Answer:
C
Step-by-step explanation:
It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%
Answer:
a or c
Step-by-step explanation:
What value of n makes the equation true ? Show your work.
Answer:
n = 6
Step-by-step explanation:
Given the expression
[tex](\frac{19^8}{7^n})^4 = (\frac{19^4}{7^3})^8 \\\frac{19^{32}}{7^{4n}} = \frac{19^{32}}{7^{24}}\\\frac{1}{7^{4n}} = \frac{1}{7^{24}} \\Reciprocate \ both \ sides\\7^{4n} = 7^{24}\\4n = 24\\n = \frac{24}{4}\\n = 6[/tex]
Hence the value of n is 6
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is [tex]\sqrt{(10^2+5^2)}[/tex]. Notice this will form a right triangle with the vertical side. We get that the face diagonal = [tex]\sqrt{125}[/tex]. Now, we can use Pythagorean theorem again to get the straw length:
[tex]s^2 = 9^2+\sqrt{125}^2[/tex] where s = the straw length.
We can solve that s = [tex]\sqrt{206}[/tex]
You deposit
$
6500
into an account paying
8
%
annual interest compounded monthly. How much money will be in the account after
7
years?
Use the formula A = p(1 + r/n)^(nt).
Here is the set up:
A = 6500[1 + (0.08/4)]^(4•7)
Solve for A.
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
Mr. Sanchez built a fence to enclose a rectangular
yard for his horse. If the area of the yard to be
enclosed is 2835 square feet, and the length of
the yard is 45 feet, how much fencing is needed?
9514 1404 393
Answer:
216 feet
Step-by-step explanation:
The area is given by the formula ...
A = LW
Solving for width, we have ...
W = A/L = 2835 ft²/(45 ft) = 63 ft
__
The perimeter is given by the formula ...
P = 2(L +W)
P = 2(45 ft +63 ft) = 2(108 ft)
P = 216 ft
216 feet of fencing are needed to enclose the area.
The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
use the "or" button
The two numbers are 3 and 8.
What are squares of a number?Square numbers are numbers that can be multiplied by themselves.
Given that, The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55.
Let the numbers be x and y, then,
x²+y² = 73
x²-y² = 55
On solving, we get,
x² = 9
x = 3
Putting x = 3 in first equation, we get
3²+y² = 73
y² = 64
y = 8
Hence, the required numbers are 3 and 8.
For more references on square of a number, click;
https://brainly.com/question/28610159
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The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answer:
yo
Step-by-step explanation:
jy
The ratio of games won to games lost for a baseball team is 7:2. The team
won 14 games. How many games did the team lose?
Answer:
They lost 4 games.
Step-by-step explanation:
brainliest pls
Question 11 of 25
What is the solution to this inequality?
X/12 +3 <=7
A. X>=48
B. X<= 81
C. x>=81
D. X<=48
SUBM
Answer:
D
Step-by-step explanation:
first multiply both sides by 12
collect like terms
x/12×12+3×12<=7×12
x+36<=84
x<=84-36
x<=48
Can you help thanks!
Answer:
y = 3x + 41
Step-by-step explanation:
First, lets set up the slope-intercept form equation, that is...
y = mx + b
m = slope
b = y-intercept
because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41
now, we know that b = 41, but what is the slope?
Well, here are tips for doing slope
if the line is gradually increasing upwards, then it is a positive slope
if the line is gradually decreasing downwards, then it is a negative slope
because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer
Therefore, your correct answer is y = 3x + 41