In the diagram below,
ZCAB≈ ZCDE. Solve for x. Round
your answer to the nearest tenth if
necessary.
14
A
D
X
с
18.7
E
9.3
B

The distance from the top of the tree of height 30 tall to the end of the shadow is 50.

Distance is the length between two point.

To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.

Note: The tree and the shadow form a right angle.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the distance from the top of the tree to the end of the shadow is 50.

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Answer:

A. Invalid

B. Valid

C. Valid.

Step-by-step explanation: A valid statement or argument is one in which the premise correlates with the conclusion.

It means that if all the premises are true then the conclusions from such premises must also be true. In the above statement, the first conclusion is invalid as it's conclusion does not correlates with its premise when considering the argument. Both conclusions B and C are valid as they correlates with their respective premises when considering the argument or statement made.

Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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1.  you are asked to find how many weeks it would take Alex to work 51 hours.

2. Alex  works  [tex]3\frac{1}{7}[/tex] weeks.

3. It makes sense in fractional from.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

Alex works 3 hours a day and 4 days a week.

Alex works in a week = ( 3×4) hour = 12 hour

Alex  works = 51 hours = 48 hours + 3 hours = (48/12) weeks + 1 day

= 3 weeks and 1 day.

= [tex]3\frac{1}{7}[/tex] weeks.

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Answer:

The tourists will meet at the midpoint of the bridge, which is 2738/2 = 1369 meters from each end.

At their respective walking speeds, it will take the first tourist 1369/0.9 = 1521.67 seconds to reach the midpoint, and it will take the second tourist 1369/1.1 = 1242.73 seconds.

Therefore, it will take them a total of 1521.67 + 1242.73 = 2764.4 seconds to meet.

Since there are 60 seconds in a minute, the time in minutes is 2764.4 / 60 = 46.07 minutes.

Therefore, it will take the tourists 46 minutes and 0.4 seconds to meet.

Uday Tahlan

Answer: 11 quarters and 9 nickels

Step-by-step explanation:

11 quarters = $2.75 or 275 cents

9 nickels = 45 cents

275 + 45 = $3.20

Answer:

no

Step-by-step explanation:

y > 2x - 5

9 > 2(7) - 5

9 > 14 - 5

9 > 9. not a solution

9=9

Answer:

3, 11

The only common factor of Prime Numbers is 1

Answer:

7

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

If shes going 59mph and the total trip is 295mph

then you would divid 295 by 59 and get 5

Answer:

5.5 (five and a half weeks)

Step-by-step explanation:

If she was withdrawing 20$ twice a week that means that she withdrew 40$ (20$x2) a week, and 220$ divided by 40$ is 5.5.

To simplify this expression, you can first simplify the logarithms by using the properties of logarithms and the simplified expression is -0.00195

A logarithm is a mathematical function that is used to determine the power to which a number must be raised in order to produce a certain value. The logarithm of a number "b" to base "a" is represented as loga(b) or logb. The logarithm of b to base a is equal to the exponent to which we must raise a to get b.

[tex]1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]

To simplify this expression, you can first simplify the logarithms by using the properties of logarithms.

[tex]1/2 log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]

=[tex]1/2( log10 25 - log10 4) - 2 (log10 4 - log10 5) + (log10 320 - log10 125)[/tex]

= 1/2(1.397940008672037 - 0.6020599913279624) - 2*(-0.6020599913279624 - 0.6989700043360187) + (2.505149978319906 - 2.0969100130080566)

= 0.397940008672037 - 1.204120018655925 - 1.397940008672037 + 0.40825006983185

= -0.2 - 0.2062 + 0.40825

= -0.00195

So the simplified expression is -0.00195

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Complete question is: simplify the given equation:  1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125

Answer:

Step-by-step explanation:

The LCM of 10,12,15 is 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .

Answer:

No

Step Explanation:

I calculated it logically

Answer:

(C) -6

Step-by-step explanation:

Given the following data;

Points on the graph (x1, y1) = (1, -9).

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the zero of the linear function f, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-9) = -3(x - 1)

y + 9 = -3x + 3

y = -3x + 3 - 9

y = -3x -6 = mx + c

Intercept (c) or zero of a function = -6

Answer:

Okay, that was smooth-

Step-by-step explanation:

Use that when you ask someone out.

Answer:

here,base=16*3+7/16

=55/16

=3.43

height =5*1+3/5

=8/5

=1.6

now use formula h*b/2

=3.43*1.6/2

=5.48/2

=2.74

Step-by-step explanation:

therefore area of triangle is 2.74

Answer:

8x² + 11x + 6

Step-by-step explanation:

6x + 7 + 8x² + 5x - 1 ← collect like terms

= 8x² + (6x + 5x) + (7 - 1)

= 8x² + 11x + 6

Answer:

degree 24.7

Radian 0.43

Step-by-step explanation:

Answer: 1/104976

Step-by-step explanation:

You can get rid of negative exponents by flipping the number. So in this case,  the expression would change to: 1/(36)^2 x (9)^2.

From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.

1/104976 is your answer!

On solving the provided question we cans ay that - here in linear equation, y = 3 and x = -1/2

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y = 2x + 1 - linear equation.

value of y;

[tex]x = 0\\y = 2(0) + 1\\y = 2 + 1\\y = 3[/tex]

value of x;

[tex]y = 0\\0 = 2x + 1\\2x = -1\\x = -1/2[/tex]

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Answer:

60

Step-by-step explanation:

12a - 3b²

12(9) - 3(4)²

108 - 3(16)

108 - 48

60

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:1030.77

Step-by-step explanation:

Answer:

139 cm

Step-by-step explanation:

If he was 152 cm, and he grew 13 cm over the past year, he was 13 cm less than what ge is now. So, 152-13=139 cm. So, Jim was 139 cm a year ago

Answer:

30.5

Step-by-step explanation:

4.25÷17×122

0.25×122

30.5

Answer:

30.5

Step-by-step explanation:

The average monthly wage for the entire workforce of the business is $7489.09.

The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Given, The six departments of a company consisting of 22, 32, 18, 16, 10, and 12 employees have equal monthly salaries of $7200, $7600, $6900, $8200, $7800, and $7400 respectively.

First, calculate the total monthly salary

22*7200 + 32*7600 + 18*6900 + 16*8200 + 10*7800 + 12*7200  dollars.

Total monthly salary = $823,800

Then divide this sum by the total number of employees  

 22 + 32 + 18 + 16 + 10 + 12

Total number of employees = 110

the mean monthly salary of all the employees  = [tex]\frac{Total salary}{total number of employee}[/tex]

the mean monthly salary of all the employees  = 823800/ 110

the mean monthly salary of all the employees = 7489.0909

Therefore, the mean monthly salary of all the employees of the company is $7489.09.

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