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joja [24]
3 years ago
5

What is In algebraic expression

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Expression without an equal sign with at least one variable

Hope this helps!

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A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
Five students wrote a mathematics test. The average mark was 68. If the marks for four of the students were 75, 62, 84 and 53, t
konstantin123 [22]

Answer:

66

Step-by-step explanation:

Use the formula for the mean of a set of numbers:

                  sum of the numbers

average = --------------------------------

                     count of numbers

Here we know that the average mark was 68, so we can write:

               

                           75 + 62 + 84 + 53 + x

average = 68 = ----------------------------------

                                           5

or                            274 + x

                  68 = -------------------

                                    5

Solving for x, we multiply both sides by 5:     340 = 274 + x.

Subtracting 274 from both sides effectively isolates x:

 340 = 274 + x

- 274    -274

------------------------

  66      =    x

The fifth student's mark was 66.

4 0
3 years ago
Charlie's weight is nine kilograms greater than his brother's. Together they weigh 99 kilograms. Let x represent the weight of t
spayn [35]
C=x+9, c+x=99, c=99-x

So we have two equations equal to c, c=x+9 and c=99-x, since c=c:

x+9=99-x

2x+9=99

2x=90

x=45, and since c=x+9, c=54

So Charlie weighs 54 kg and his brother weighs 45 kg.
4 0
3 years ago
The picture shows a circular clock face.
marysya [2.9K]

Answer:

[C] 25π square inches

Step-by-step explanation:

<u><em>Given that:</em></u>

<em>the long hand of the clock is about 5 inches long.</em>

<u><em>To Find:</em></u>

<em>What is the approximate area of the clock face?</em>

<u><em>Solve:</em></u>

<em>Formula - </em><em>A =πr²</em>

<em>Note that;</em>

<em>π = 3.14 (about)</em>

<em>Radius - 5 inches</em>

<em>A =πr²</em>

<em>A = 3.14(5)²</em>

<em>A = 3.14(25)</em>

<em>A = 78.5</em>

<em>Now let see the answer choices:</em>

<em>A.  5π square inches                     ≈   5(3.14) = 15.7</em>

<em>B. 10 π square inches                    ≈  10(3.14) = 31.4</em>

<em>C. 25 π square inches                    ≈  25(3.14) = 78.5</em>

<em>D. 100 π square inches                    ≈ 100(3.14) = 314</em>

<em />

<em>Hence, the answer is [C] 25 π square inches </em>

<em />

<u><em>Kavinsky~</em></u>

6 0
1 year ago
Read 2 more answers
9. (X + 8)^2 - 5 = 0
d1i1m1o1n [39]

Answer:

x + 59 = 0    

X= -59

Step-by-step explanation:

7 0
3 years ago
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