Answer:
202 m
Step-by-step explanation:
Given :
Angle of depression, θ = 36°45' ; 45/60 = 0.75 = 36 + 0.75 = 36.75°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 36.75 = d / 270
d = 270 * Tan 36.75
d = 201.61856
d, distance of Park bench from building is 202 m
There are 1,453 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
trust me its right
3x^2=12 solve the equation algebraically?
Answer:
x = 2
Step-by-step explanation:
Problem: 3x^2 = 12
Divide both sides by 3 to isolate x: x^2 = 4
Take the square root of both sides of the equation: x = 2
Answer: x = 2
don't mind the yt but how/?
r = 44
12 = r -(34-2)
12 = r -(32)
12 = r-32
r = 32+12
r = 44
if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC
Answer:
BC
Step-by-step explanation:
BECAUSE BC IT'S EQUAL TO EF
Answer:
B. BC
Step-by-step explanation:
By SSS rule in ∆ ABC and DEF,
AB = DEBC = EFCA = FDDivide 20 by the difference of 14 and 9.
Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 desserts, but she does not have time to cook. She can choose from 15 bottled drinks, 10 frozen appetizers, and 13 prepared desserts at the supermarket. How many different ways can Luisa pick the food and drinks to serve at the bridal shower
Answer:
Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
Also
The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Beverages:
3 from a set of 15. So
[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]
Appetizers:
3 from a set of 10. So
[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]
Desserts:
3 from a set of 13. So
[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]
How many different ways can Luisa pick the food and drinks to serve at the bridal shower?
By the fundamental counting principle, as beverages, appetizers and desserts are independent:
[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]
Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
You roll a 6-sided die.
What is P(odd)?
Write your answer as a percentage.
%
Submit
Answer:
it is 50%
Step-by-step explanation:
>:( im doing ixl and im in paine but here is the answer ok
Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?
Answer:
89
Step-by-step explanation:
341 ( total of previous 4 tests) + 89= 430
Divide 430 by 5 ( number of tests)
Simplify the expression 2(4x – 2) + x if x = 6.
Answer:
44
Step-by-step explanation:
2(4x-2)
2(4(6)-2)
2(24-2)
2(22)
44
Hope this helps! :)
Answer and Step-by-step explanation:
Simply plug 6 in for x.
2(4(6) - 2) + 6
Multiply 4 by 6.
2(24 - 2) + 6
Subtract 2 from 24.
2(22) + 6
Multiply 22 by 2.
44 + 6
Add.
50
The answer is 50.
#teamtrees #PAW (Plant And Water)
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
A: ( g o f) ( x) = x^2 ( x + 1)
B: ( g o f) (x) = x^2 + 1
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = ( x + 1) ^2
Question: Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
Answer: (C)---(g o f) (x) = x^2 + x + 1
Why? I just took this quiz on Plato and this was the correct answer.
Hope this help's!!!
~Kenzie~
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
D) (gºf)(x) = (x + 1)^2
In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]
The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]
Step-by-step explanation:
The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.
At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:
[tex]H_0: \mu = 22.6[/tex]
At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So
[tex]H_1: \mu < 22.6[/tex]
Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?
Answer:
9 weeks
235 -73=162 (this is the amount he paid)
162/18=9 (he has been paying his mom for 9 weeks)
Answer:
9 weeks
Step-by-step explanation:
235-73 = 162 (how much he has paid her thus far)
162/18 (how many times he payed her) = 9
Help please I don’t know how to do this
[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]
help help please help help
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9
Cuánto es 1/4 mas 1/4
Answer:
0.5
Step-by-step explanation:
What are the coordinates for b?
Answer:
Step-by-step explanation:
(0,-3.5)
Answer:
(0, -3.5)
Step-by-step explanation:
The x coordinate is first
We stay on the y axis so the x coordinate is 0
The y coordinate is second
We go down 3 1/2 units so the y coordinate is -3 1/2
(0, -3.5)
Which of the following questions are statistical? A. How many hours did you sleep last night. B. How many hours did the students in your class sleep last night. C. How many hours did your friend spend reading last night. D. How many hours did your teacher spend reading on Saturday.
If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB
Answer:
B
Step-by-step explanation:
26 divides by 2 = 13
13+2=14
I need help asp please!!
Answer:
337.5 g
Step-by-step explanation:
mass=volume x density=112.5 x 3=337.5
Consider the function f(x) = 2^x
and function g
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function ?
Answer:
The graph of function g is the graph of function f shifted 6 units up
Step-by-step explanation:
If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.
A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
The price decreases by $288,000*(0.19)=$54,720
The current value is then $233,280.
Please help, I’m so lost question in picture
Find the area of the kite with diagonals a= 12 and b=9
A) 30
B) 72
C) 54
D) 108
maybe 108 is the answer.
What are the coordinates of the point plotted on this graph?
The answer is C: (-1, -8)
Hank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?
Answer:
The height of the tree is 430cm
Step-by-step explanation:
Given
The attached illustration
Required
The height of the tree
Let:
[tex]h \to[/tex] Hank's height
[tex]H \to[/tex] Tree height
[tex]d \to[/tex] distance between Hank and Mirror
[tex]D \to[/tex] distance between tree and Mirror
From the question, we have:
[tex]\angle 1 = \angle 2[/tex]
This means that:
[tex]\frac{H}{D} = \frac{h}{d}[/tex]
Make H the subject
[tex]H = \frac{h}{d} * D[/tex]
So, we have:
[tex]H = \frac{172cm}{190cm} * 475cm[/tex]
[tex]H = \frac{172* 475cm}{190}[/tex]
[tex]H = \frac{81700cm}{190}[/tex]
[tex]H = 430 cm[/tex]
For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.
Answer:
H0 : p = 0.236
H1 : p > 0.236
Type 1 error is committed by incorrectly rejecting a true null hypothesis
Type 11 error is committed by incorrectly accepting a false null
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p = 0.236
H1 : p > 0.236
A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236
A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
The following function represents exponential growth or decay.
P= 2.9(1.05)^t
a. The initial quantity is :_______________
b. The initial quantity is :__________
c. Is the quantity growing or decaying?
Answer:
a) The initial quantity is 2.9.
b) The initial quantity is 2.9.
c) The multiplier is 1.05 > 1, and thus, the quantity is growing.
Step-by-step explanation:
Exponential equations:
Have the following format:
[tex]A(t) = A(0)(k)^t[/tex]
In which A(0) is the initial amount and k is the multiplier.
If k > 0, the quantity is growing.
If k < 0, the quintity is decaying.
In this question:
[tex]P(t) = 2.9(1.05)^t[/tex]
a, b. The initial quantity is
P(0). So
[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]
The initial quantity is 2.9.
c. Is the quantity growing or decaying?
The multiplier is 1.05 > 1, and thus, the quantity is growing.
can anybody help me please?! I'll give brainlest for correct answer
Yes I can help you. what do you want the help for?
Answer:
AOB = 65 degree angle
DOE = 35 degree angle
AOC = 90 degree angle
EOB = 115 degree angle
DOB = 80 degree angle
Step-by-step explanation:
Use the protractor to measure. Each dash around the edge is equal to 5 degrees.
can someone please help me solve?
Answer:
0.75
Step-by-step explanation:
d = FE = 4
e = DF = 3
f = ED = 5
f/sin(F) = e/sin(E)
5/sin(90) = 3/sin(E)
5 = 3/sin(E)
sin(E) = 3/5 =0.6
E = asin(0.6) = 36.869898... degrees
tan(E) = tan(36.869898...) = 0.75