If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.

9514 1404 393

Answer:

  47

Step-by-step explanation:

Given:

  a1 = 26, a37 = 278

Find:

  a4

Solution:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47

Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

Answer:

The geometric mean is 9.798

Step-by-step explanation:

Answer:

13.416407864998738

Answer:

-5

Step-by-step explanation:

[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]

[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]

[tex]10x = -50[/tex]

[tex]x=-5[/tex]

Answer:

Okay

Step-by-step explanation:

I will try to help you

Answer:

Ok I also have a code: F5LS4F

Step-by-step explanation:

I heard you can get tickets in their discord community or something like that.

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.

Here,

Sin 30 = Opposing Side/High

1/2 = 5 / y

y = 5 / (1/2)

y = 10

Cos 30 = Adjustment Side/ Hyp

√3/2 = x/y

√3/2 = x/10

x = 10√3 / 2

x = 5√3

In light of this, the given fractional problem's answer is

x = 5√3 and y = 10.

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

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Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

she will be able to knit 13 scarfs

Given ,

To Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn

2.34 yards of yarn = 1 scarf

30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]

                                 = 13 scarfs

Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, given that,

A chef makes small and large snacks to sell at a local art show.

He cannot make more than 30

snacks before the show, with no more than 6 large snacks.

The chef must make at least 10 small snacks to earn a profit.

Let,

x represent the number of small snacks

and y represent the number of large snacks.

Given x ≥ 0 and y 20

So, we get,

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

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Answer:

Step-by-step explanation:

a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)

b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).

Answer:

b

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

Formula for area -> A= PI times radius squared

10x10=100x3.14+314

Answer:

314.16ft

Step-by-step explanation:

Diameter = 2  

×

Radius

Diameter = 2

×

10

Diameter = 20 feet

If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

Pattern A

3.675×10 =3.7650 Incorrect

3.675×10 = 36.75 Correct

3.675× 100= 3.67500  Incorrect

3.675×100= 367.5 Correct

3.675×1,000= 3.675000 Incorrect

3.675×1,000 = 3,675 Correct

Pattern B

3.675×10=3.0675 Incorrect

3.675× 10= 36.75 Correct

3.675×0.01= 3.00675 Incorrect

3.675×0.01= 0.03675 Correct

3.675×0.001= 3.000675 Incorrect

3.675×0.001= 0.003675 Correct

The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

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Answer:

x=57

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

(x-5) + (2x-7) + 21  = 180

Combine like terms

3x +9 = 180

Subtract 9 from each side

3x+9-9= 180-9

3x = 171

Divide by 3

3x/3 =171/3

x =57

Answer:

The answer is -2

Step-by-step explanation:

Hope it helps :)

Answer:

~22381

Step-by-step explanation:

a=starting value = 18000

r=rate = 2%=0.02

Exponential Growth:

b=1+r=1+0.02=1.02

b=1+r=1+0.02=1.02

Write Exponential Function:

y=18000(1.02)^x

y=18000(1.02)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=18000(1.02)^{11}

y=18000(1.02)

11

Evauate:

y= 22380.73755

y=22380.73755

Round:

y\approx 22381

y≈22381

Answer:

A.) Parameter = 1.67 ; 0.25

B.) Statistic = 1.59, 0.30

C.) Population distribution

D.) Sampling distribution of means

E.) 0.058

F.) 0.395

G.) 0.072

Step-by-step explanation:

A.) The parameters are measured quantities or characteristics derived from the population. The parameter here describes the mean and standard deviation of all participants ;

Population mean = 1.67

Population standard deviation = 0.25

B.) Statistic are measured quantities which are characteristics of the sample. Here, we have the sample mean and standard deviation

Sample mean = 1.59

Sample standard deviation = 0.30

C.) The population distribution is the plot of the histogram prepared using data from the population (all participants)

D.) The plot of the mean value obtained from the repeated measurement or simulation of the sample data is called sampling distribution of the means.

E.) Mean finish time of 30 randomly participants :

Sample size, n = 30

Standard Error = s/√n

Standard Error = 0.30 /√30 = 0.0548

F.) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours

P(x < 1.59)

Z = (xbar - μ) / σ ; (1.59 - 1.67) / 0.30 = - 0.267

P(Z < - 0.267) = 0.395 (Z probability calculator)

G.) P(x < 1.59)

Z = (xbar - μ) / s ; (1.59 - 1.67) / (0.30/√30) = - 1.46

P(Z < -1.46) = 0.072 (Z probability calculator)

Answer:

A, D

Step-by-step explanation:

1.67+1.4>3, 4.6-1.47>3.

Answer:

A and D

Step-by-step explanation:

Answer:

where is the other part of the question

The given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the statement as -

"12 x squared minus 14 x equals 10"

The given function can be written as -

f(x) = 12x² - 14x - 10

Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -

(x + 1/2)(x - 1.667) = 0

(x + 1/2) = 0     and     (x - 1.667) = 0

x = -1/2     and      x = 1.667

Therefore, the given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

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