MATHEMATICS
MIDDLE SCHOOL

x 2 + 5x + 4 = 0

Answer:

Answer:

Answer:

9

Step-by-step explanation:

This equation is in the form

ax²+bx+c = 0

Substituting our values for a, b and c in,

5²-4(1)(4) = 25-16 = 9

COLLEGE

I am a number less than 3000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?

The numbers are: 798, 1726, and 2654

MIDDLE SCHOOL

What is 86 times 32 divided by 60 plus 3 =?

the answer is 48.87

i think so

i think so

86 × 32 = 2752

2752 ÷ 60 = 45.8

45.8 + 3 = 48.8

So the answer is 48.8

2752 ÷ 60 = 45.8

45.8 + 3 = 48.8

So the answer is 48.8

MIDDLE SCHOOL

apply the 30-60-90 triangle theorem to find the length of the shorter leg of a triangle if the length of the hypotenuse is 20 cm

The shorter side is of measurement of 10 cm.

Given that:

The length of the hypotenuse = 20 cm.

The triangle has its angle as 30, 60 and 90 degrees.

Since the given triangle is a right angle, thus we can use trigonometric ratios.

Taking the 60 degree angle we will have:

Similarly,

Thus, the shorter side is base with the measurement of 10 cm.

Learn more about right angled triangles here:

brainly.com/question/7894175

Answer:

10 cm

Step-by-step explanation:

Let shorter leg = x

Hypotenuse = 2x

To find the length of the short leg it is 20/2 = 10

MIDDLE SCHOOL

What is the greatest prime factor of 3^8+4

Hello from MrBillDoesMath!

Answer:

101

Discussion:

3^8 + 4

= 6561 + 4

= 6565

= 5 * 13 * 101

As 5, 13, and 101 are all prime numbers the largest prime factor is 101

Thank you,

MrB

MIDDLE SCHOOL

The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful of detergent is equal to about one tablespoon. if your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

Answer:

A.You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

B. You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

Step-by-step explanation:

1. Let's review all the information provided to answer the question:

2 capfuls of detergent to 1 gallon of water

1 capful of detergent = 1 tablespoon

2. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

For finding the amount of capfuls for 11 gallons of water, we multiply this way:

11 * 2 = 22 capfuls of detergent

Now, we can calculate the number of tablespoons, this way:

22 capfuls = 22 tablespoons

You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

Fiinally, let's calculate the amount of fluid ounces of detergent, this way:

1 tablespoon = 0.5 fluid ounces

22 tablespoons * 0.5 = 11 fluid ounces

You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

MIDDLE SCHOOL

The cosine ratio is the ___ side over the hypotenuse

The cosine ratio is adjacent side over hypotenuse side

MIDDLE SCHOOL

Find three solutions of the equation.

y = –8x

Answer:16,24,8

Step-by-step explanation:

1|x=2

y=_8*2

=_16

2|x=3

y=_8*3

=_24

3|x=_1

y=_8*_1

=8

HIGH SCHOOL

Provide the first four terms of the following sequence:

t1=6 tn=3tn-1+2n

We know that the first term in the sequence is t1=6.

We also know the equation for the n-th term in the sequnce: tn=3tn-1+2n

According this,

the second term is: t2=3t*2-1+2*2=6t-1+4=6t+3

the thirs term is: t3=9t-1+6=9t+5

the fouth term is: t4=12t-1+8=12t+7

MIDDLE SCHOOL

Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of a trapezoid is equal to half the sum of the bases.)

24 sq units

48 sq. units

96 sq. units

Answer:

48 sq. units

Step-by-step explanation:

The area of a trapezoid is given by half sum of the bases multiplied by the height

where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid

But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae is covered by the median

Hence area, A, of a trapezoid is simplified to product of median and amplitude

Answer:

=48 sq. units.

Step-by-step explanation:

Area of a trapezoid =h× (a+b)/2

(a+b)/2 is the median ( half of the sum of the two parallel sides also called the bases.

Median=8 inches

Altitude is the distance between the two parallel sides= 6 inches

A=6 inches×8 inches

=48 sq. units.