Girls in science class account for one-third of the total number of students in their 3rd period class. 3 girls are absent today. Find the total number of students in the class if four girls attended class today.

Answer:

True

Step-by-step explanation:

Answer:

I’m Pretty sure its true but if not sorry.

Step-by-step explanation:

By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.

Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.

Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:

AC² = x² + x² = 2x²

This equation relates the lengths of the sides of triangle ABC.

Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:

20² = AC² + x²

Since we already established that AC² is 2x² from the first triangle, we can substitute it in:

20² = 2x² + x²

This equation connects the two triangles. To find the value of x, we need to solve this equation:

20² = 3x²

Now, isolate x:

x² = (20²) / 3

x² = 400/3

x = √(400/3)

x ≈ 11.547 cm

So, x is approximately 11.547 cm.

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Answer:

1. 9.9

2. 63

3. 151.2

4. 3.68

5.4.2

6. 70.4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

So you're choosing a bagel and a drink.

There are three different types of bagels and two different types of drinks

You just simply multiply three by two, and that is the number of combinations :)

Answer:

x=25

Step-by-step explanation:

24²+7²=625

√625= 25

Answer:

25

Step-by-step explanation:

1) So "x" is the measurement of the longest side in a right angle triangle. The longest side is called the hypotenuse

there is actually a formula to find the measurement of the hypotenuse called the pythagorean theorem

so

a^2+b^2=c^2

where a=measurement of one side

b=measurement of other

and c=hypotenuse

hence,

24^2+7^2=x^2

576+49=x^2

625=x^2

to find value of x by itself take square root on both sides:

25=x

Hope this helps!

the correct answer is:

The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).

To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:

- Depth (D) = 4 feet

- Width (W) = 8 feet

To find the length (L), we can use the formula for the volume of a rectangular prism:

[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]

Given that the volume of the pool is 672 cubic feet, we can plug in the known values:

[tex]\[ 672 = L \times 8 \times 4 \][/tex]

Solving for L:

[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]

So, the length of the pool is 21 feet.

Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:

[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]

So, the length of the pool in yards is 7 yards.

The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.

Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:

b2 - 4ac = (10)2 - 4(-4)(-8)

b2 - 4ac = 100 - 128

b2 - 4ac = -28

Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.

Answer:

0.952380952

Step-by-step explanation:

bc sin is ac/cb so thats what i think

(x + 10) + (x + 10) = 90

90 - (10 + 10) = 70

70/2 = 35

x = 35

Have a great day!

Answer:

x = 35

Step-by-step explanation:

Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:

(x+10) + ( x+10) = 90

2x +20 = 90

2x = 70

x = 35

Hope this helped and pls mark as brainliest!

~Luna

Answer:

tan35 = 9/x

Step-by-step explanation:

I'm typing this to get 20+ characters

Answer:

tan(35)=9/x

Step-by-step explanation:

tan is opposite over adjacent and the only angle given is the 35 so you would use tangent 35 to solve for x.

Answer:

Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²

Step-by-step explanation:

The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.

To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.

c² = a² + b²(Pythagoras theorem)

base = b = 705/2 = 352.50 ft

c² =  352.50² + 471²

c² = 124256.25 + 221841

c² = 346097.25

square root both sides

c = √346097.25

c = 588.300305966

c ≈ 588.30 ft

slant height = 588.30 ft

Lateral surface area  = sum of area of the 4 triangular faces

lateral surface area = 4 (1/2 × base × height)

Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²

Answer:

829503.6

Step-by-step explanation:

Answer:

1. (-2,2) 2.(4,2)

Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps

Answer:

[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

Step-by-step explanation:

We can use the following trigonometric property that relates the sine function and the cosine function:

[tex]sin^2\theta+cos^2\theta=1[/tex]

we solve for [tex]sin \theta[/tex]:

[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]

we are give the value of [tex]cos\theta[/tex]:

[tex]cos\theta =\frac{1}{3}[/tex]

so we substitute this value:

[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]

and we solve the expression:

[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.

When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:

Answer:

D

Step-by-step explanation:

Given:

Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.

To find: probability that he picks A first and B second if he picks two at random

Solution:

Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]

Favourable outcomes are ABCD, ABDC

Number of favourable outcomes = 2

probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]

Answer:

-4/9 ,Option d

Step-by-step explanation:

4/-9

=-4/9

-4/-9=4/9 which is not equivalent

=9/4 is not equal to 4/-9

=-9/4 is not equal to 4/-9

To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.

To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:

2A = bh

Next, divide both sides of the equation by h to isolate b:

b = (2A)/h

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Answer:

144cm2

Step-by-step explanation:

Hope this helps

The surface area of a composite solid is 144 cm².

The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.

A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.

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Answer:

20x-12 and -12x+21

Which is then 8x+ 9

Step-by-step explanation:

Answer:

the answer is 8x + 9

Step-by-step explanation:

Answer: It mainly three

Step-by-step explanation:

Answer:

3 minutes per student

Step-by-step explanation:

60/20=3

Answer:

3 minutes per student.

Step-by-step explanation:

To solve this, we can first convert hours to minutes:

1 hour--> 60 minutes.

Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:

60÷20= 3 minutes per student.

So the right answer is 12000.

Look at the attached picture ⤴

Hope it will help u...

Answer:

b

Step-by-step explanation: i took the same test

Answer:

3x+4x+y-2+1+2

Step-by-step explanation:

just break up each number into smaller parts make sure you have a variable on each part if the whole nnumber has a variable!

The expression 3x + 4x + y/2 + y/2 - 2 - 2 has six terms and is equal to the original expression 7x + y - 4.

The original expression given in the question is 7x + y - 4. The task is to write an expression with at least 6 terms that is still equal to this original expression. We can do this by breaking down some of the terms in the original expression. Like this: 3x + 4x + y/2 + y/2 - 2 - 2. Here, the term 7x is broken down into 3x and 4x. The term y is broken down into y/2 and y/2. And the term -4 is broken down into -2 and -2. Even though we now have six terms instead of three, the expression still equals to the original expression 7x + y - 4.

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