1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kicyunya [14]
3 years ago
8

6: REDUCE to simplest term. 4/1 + 15/2​

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

You might be interested in
579ml = how many oz?
frutty [35]
It would be 19.5783 liquid oz

4 0
3 years ago
Read 2 more answers
In △ABC, AB = 13, AC = 20, BC = 21. Find the length of the altitude AD
nika2105 [10]

The length of the altitude AD is 12 units.

<h3>How to find the height of a triangle?</h3>

The height of the triangle can be found as follows:

We have to find an angle using cosine law before  we can find the height.

Therefore,

20² = 13² + 21² - 2 × 21 × 13 cos B

400 = 169 + 441  - 546 cos B

400 - 610 = - 546 cos B

-210 = - 546 cos B

cos B = -210 / -546

cos B = 0.38461538461

B = cos⁻¹ 0.38461538461

B = 67.3810899783

B = 67.38°

Hence,

sin 67.38° = opposite / hypotenuse

sin 67.38° = AD / 13

cross multiply

AD = 13 sin 67.38°

AD = 11.9999882145

AD = 12 units

learn more on triangle here: brainly.com/question/13387814

#SPJ1

6 0
2 years ago
Solve 2^10 + 2^10 = 2^n.
Lina20 [59]

Answer: n = 11

Step-by-step explanation:

2^10 = 1,024

1,025 + 1,025 = 2,048

2^11 = 2,048

8 0
3 years ago
Read 2 more answers
The question is below
Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

  1. Solve for the length of the fence (aka height)
  2. Find the area of the lawn (trapezoid)
  3. Find the number of cans needed
  4. Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

\frac{B_1 + B_2}{2}* h

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

  • 8² + fence² = 17²
  • 64 + fence² = 289
  • 225 = fence²
  • fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

  • A = \frac{B_1 + B_2}{2} * h
  • A = \frac{12 + 20}{2} * 15
  • A = \frac{32}{2} * 15
  • A = 16 * 15 = 240

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

  • 240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

  • 3 * 19.75
  • 59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : a^2 + b^2 = c^2

  • a is a leg
  • b is a leg
  • c is the hypotenuse

Images attached for your reference

7 0
2 years ago
If a 12 ounce can of peas costs $1.02, what is the unit rate in<br>ounces?​
Sladkaya [172]
1ounce = $1.02/12
1ounce = $0.085

7 0
3 years ago
Other questions:
  • Help mee plzz worth 10 points
    11·2 answers
  • A cylinder has a base diameter of 5 cm and a height of 8 cm.
    6·1 answer
  • What is the value of x?<br> x/4 - 5 = 6
    8·1 answer
  • PLEASE HELP SUPER EASY GRAPHING PROBLEM WILL MARK BRAINLIEST
    10·2 answers
  • If the radius of a cylinder is doubled and the height is tripled, what happens to the volume? A) It is multiplied by 6. Eliminat
    5·1 answer
  • Miguel selects five DVDs to purchase. A few of the DVD cases appear to be damaged, so the manager gives Miguel a 20% discount on
    14·1 answer
  • 5n+2 (11-7n)=12+4 (n-4)
    14·1 answer
  • The number of motor vehicles registered in millions in the US has grown as follows:
    9·1 answer
  • Apply the distributive property to factor out the greatest common factor.<br> 35 + 14 =
    9·1 answer
  • PLEASE HELP QUICK I NEED IT TO PASS
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!