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goldenfox [79]
4 years ago
11

a group of students at 5/12 of a cheese pizza seventh eighth of a pepperoni pizza and 5/8 of a veggie pizza how many pieces were

eaten
Mathematics
1 answer:
dmitriy555 [2]4 years ago
6 0
The answer would be:12
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3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.
Oduvanchick [21]

The exact area of triangle ABC is 93.51 cm².

The given parameters;

  • <em>Height of the triangle, h = 18 cm</em>

The base of the triangle is calculated by using trigonometry ratio as follows;

tan (30) = \frac{b}{18} \\\\

where;

  • <em>b </em><em>is the </em><em>base </em><em>of the </em><em>triangle ABC</em>

<em></em>

<em></em>b = 18 \times tan(30)\\\\b = 10.39 \ cm<em></em>

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

3 0
2 years ago
Describe the relationship between the value of the digits in the number 9,999,999
algol [13]
9 999 999 in words is read as nine million, nine hundred and ninety-nine thousand, and nine hundred and ninety-nine

By partitioning, we can write 9 999 999 as follow
9 000 000 + 900 000 + 90 000 + 9000 + 900 + 90 + 9

If we start at the first digit of '9' on the left, the next digit is ten times smaller than the previous one.
4 0
3 years ago
Complete the proof of the identity by choosing the rule that justifies each step.(1-cosx)(1+cosx)=sin^2x
Elena-2011 [213]

You have the following expression:

(1+cosx)(1-\cos x)=\sin ^2x

To verify the identity, you have that the left side of the equation becomes:

(1 + cosx)(1 - cosx) = (1 - cos^2 x)

because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.

Next, you have:

1 - cos^2 x = sin^2 x

because the Pythagorean identity.

Then, the identity is verified.

6 0
1 year ago
What is the quotient of 1.728 x 109 and 4.8 x 106 expressed in scientific notation?​
fenix001 [56]

Step-by-step explanation:

\to 1,728 \times {10}^{9}

= 1,728 \times {10}^{9}

= 1,728 \times 1.000.000.000

= 1.728.000.000

1,728 \times {10}^{9} = 1.728.000.000

\:

\to 4,8 \times {10}^{6}

= 4,8 \times {10}^{6}

= 4,8 \times 1.000.000

= 4.800.000

4,8 \times {10}^{6} = 4.800.000

4 0
3 years ago
Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times t
alisha [4.7K]
Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12
3 0
3 years ago
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