Hello,<br> umI need help with this math problem.

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8

Vaselesa [24]

Answer:

There is no question here, but suppose you want to find the number of signs they can make in half an hour, the answer is 14.

Step-by-step explanation:

Times it take to complete a sign.

Mai = 6 minutes

Clare = 8 minutes

Noah = 5 minutes.

Since they keep working for half an hour, which is 30 minutes. Suppose we want to find how many signs they can all make in that time, all we have to do is determine how many signs each person can make and then sum it.

Mai, who makes one every 6 minute, can make only 30/6 signs in 30 minutes. 30/6 = 5

Mai can make 5 signs in that time

Clare, who makes one every 8 minute, can make only 30/8 signs in 30 minutes. 30/8 = 3.75

She can only make 3 signs.

Noah, who makes one every 5 minute, can make only 30/5 signs in 30 minutes. 30/5 = 6

He can only make 6 signs.

In total, they can make 6 + 5 + 3 = 14 signs in half an hour.

8 0

3 years ago

Angle JKL is 54 degrees. What is the measure of angle MKL? *

hoa [83]

Answer:

MKL = 36°

Step-by-step explanation:

(3x + 6) + (6x + 12) = 54°

3x + 6x + 6 + 12 = 54

9x + 18 = 54

9x = 54 - 18

9x = 36

x = 36/9

x = 4

MKL = 6x + 12

MKL = 6(4) + 12

MKL = 24 + 12

MKL = 36°

6 0

3 years ago

Solve the above que no. 55

aleksandr82 [10.1K]

Answer:

Let $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ , we proceed to prove the trigonometric expression by trigonometric identity:

1) $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ Given

2) $\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)$ $\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}$

3) $\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)$

4) $\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)$ $\sin^{2}A+\cos^{2}A = 1$

5) $\frac{1}{\sin^{2}A\cdot \cos^{2}A}$

6) $\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}$ $\sin^{2}A+\cos^{2}A = 1$

7) $\frac{1}{\sin^{2}A-\sin^{4}A}$ Result

Step-by-step explanation:

Let $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ , we proceed to prove the trigonometric expression by trigonometric identity:

1) $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ Given

2) $\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)$ $\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}$

3) $\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)$

4) $\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)$ $\sin^{2}A+\cos^{2}A = 1$

5) $\frac{1}{\sin^{2}A\cdot \cos^{2}A}$

6) $\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}$ $\sin^{2}A+\cos^{2}A = 1$

7) $\frac{1}{\sin^{2}A-\sin^{4}A}$ Result

4 0

3 years ago

A lunch menu has a 4-piece lunch special which consists of a sandwich, soup, dessert and drink. They offer the following choices

ryzh [129]

Answer:

There are 160 possible 4-piece lunch special meal.

Step-by-step explanation:

The lunch menu has a 4-piece lunch special which consists of a sandwich, soup, dessert and drink.

The available options for the sandwiches, soups, desserts and drinks are:

Sandwich: chicken, cheese and tomato, tuna, ham and lettuce, turkey

Soup: tomato, chicken noodle, vegetable

Dessert: ice-cream, piece of cake

Drink: tea, coffee, Coke, Sprite

So, the number of options are:

n (Sandwich) = n (A) = 5

n (Soup) = n (B) = 4

n (Dessert) = n (C) = 2

n (Drink) = n (D) = 4

There are 5 ways to select a sandwich, 4 ways to select a soup, 2 ways to select a dessert and 4 ways to select a drink.

The total number of possible 4-piece lunch special is:

Total number of 4-piece lunch special = n (A) × n (B) × n (C) × n (D)

$=5\times4\times2\times4\\=160\\$

Thus, there are 160 possible 4-piece lunch special meal.

8 0

3 years ago

The price of a laptop went down by $175. The new price is $950. Which of the expressions shows the price of the laptop before th

Fittoniya [83]

Answer:

950 + 175

Step-by-step explanation:

to find the original price before the sale, you need to add.

5 0

3 years ago

Hello, umI need help with this math problem.