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2 years ago

Helpppp!! i’m willing to give all my points and brainliest, especially w explanation!

Mathematics

1 answer:

Rainbow [258]2 years ago

8 0

Here are the basic rules for a right triangle:
One angle is always 90° or right angle.

The side opposite angle 90° is the hypotenuse.

The hypotenuse is always the longest side.

The sum of the other two interior angles is equal to 90°.

The other two sides adjacent to the right angle are called base and perpendicular.

a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)

hope this helps! lmk.

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

Elsies math class has 11 female students and 10 male students. Write the ratio of female students to total number of students in

stiv31 [10]

Answer:

Step-by-step explanation:

Download pdf

7 0

3 years ago

Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

$\frac{125x+96}{4}$

Step-by-step explanation:

Step 1: Simplify $\frac{4}{5}$

Step 2: Rewriting the whole as an Equivalent Fraction

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

5x = 5x/1 = 5x * 5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4) 25x - 4

-------------- = ---------

5 5

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4 125x + 96

--------------------------- = -----------

4 4

Final result :

125x + 96

—————————

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Terms and topics:

Dividing exponents
Polynomial roots
Nonlinear equations
Equations which are reducible to quadratic
Reducing fractions to lowest terms

7 0

2 years ago

Estimate 12.56+12.69 using front-end estimation.

marissa [1.9K]

12.56+12.69 = 12.60 + 12.70 = 25.30

answer

A. about $25.30

5 0

3 years ago

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

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3 years ago