Someone please help me please

To find the area of the triangle ABC with vertices A(3, 4), B(4,7), and C(6,-3), we can use Heron's formula. First, calculate the lengths of the sides AB, BC, and AC using the distance formula.

Then, find the semi-perimeter of the triangle by adding the lengths of the sides and dividing by 2. Finally, apply Heron's formula to calculate the area of the triangle.

Calculate the lengths of the sides:

Side AB: √((4 - 3)² + (7 - 4)²) = √(1² + 3²) = √(1 + 9) = √10

Side BC: √((6 - 4)² + (-3 - 7)²) = √(2² + (-10)²) = √(4 + 100) = √104

Side AC: √((6 - 3)² + (-3 - 4)²) = √(3² + (-7)²) = √(9 + 49) = √58

Calculate the semiperimeter:

s = (AB + BC + AC) / 2 = (√10 + √104 + √58) / 2

Apply Heron's formula:

A = √(s(s - AB)(s - BC)(s - AC))

A = √(s(√10)(√104)(√58))

Substituting the value of s into the formula:

A = √((√10 + √104 + √58)/2 * (√10)/2 * (√104)/2 * (√58)/2)

Using a calculator to evaluate the expression, we find that the area of the triangle ABC is approximately 13.2 square units when rounded to the nearest tenth.

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The rate of the first bus is 15 mph. The solution involves using the formula distance = rate x time for both buses and setting them equal to each other to solve for the unknown rate of the first bus.

Let's assume that the first bus is traveling at a rate of x miles per hour.

We know that the second bus is traveling at a rate of 35 miles per hour.

When they meet, they will have traveled a total distance of 350 miles.

Using the formula distance = rate x time, we can set up the following equation

x(7) + 35(7) = 350

Simplifying this equation

7x + 245 = 350

7x = 105

x = 15

Therefore, the rate of the first bus is 15 miles per hour.

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Answer:

x = 8

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{RT}{WU}\) = \(\frac{RS}{WV}\) ( substitute values )

\(\frac{6x+15}{28}\) = \(\frac{108}{48}\) ( cross- multiply )

48(6x + 15) = 28 × 108 = 3024 ( divide both sides by 48 )

6x + 15 = 63 ( subtract 15 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Since 1/5 is equal to 0.2, then 3/5 would be equal to 0.6 (0.2*3). It is terminating as it has only one decimal.

Answer:

x= 6

Step-by-step explanation:

3(x + 4) = 2x + 4x - 6

3x + 12 = 2x + 4x - 6

3x + 12 = 6x - 6

-3x = -18

x= 6

hope it helps

if it helps you, pls give me the brainliest.

Answer:

x = 6

Step-by-step explanation:

3(x + 4) = 2x + 4x - 6

~Distribute the left side

3x + 12 = 2x + 4x - 6

~Combine like terms on the right side

3x + 12 = 6x - 6

~Subtract 12 to both sides

3x = 6x - 18

~Subtract 6x to both sides

-3x = -18

~Divide -3 to both sides

x = 6

Best of Luck!

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.

The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.

Answer:

1. First, add the x coordinates and divide by 2.

2. Second, add the y coordinates and divide by 2.

3. Take each result to get the midpoint.

Step-by-step explanation:

Example:

Find the midpoint of (1,6)(5,10)

x=1+5=6/2=3

y=6+10=16/2=8

Midpoint: (3,8)

Answer:

SAS

Step-by-step explanation:

If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.

Answer:

They are congurrent by SAS criterion. SAS stands for side-angle-side where the angle is in between the 2 lines. In this we can see that 2 lines have been marked as well as the angle in both triangles. SAS is a valid criterion for proving congrurency and therefore these are congurent.

Really hard to explain through typing but hopes this helped

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

Answer:

B

Step-by-step explanation:

A circle graph also known as a pie chart is used to represent data graphically. the circle graph is made up of a circle that is divided into quadrants. Each quadrants represents different classifications of data and the proportion of each classification.

the sum of angles in a pie chart is 360 degrees while the total percentages is 100%.

If there are 25% of the students in a class each take maths, physics , biology and chemistry, the pie chart would be divided into 4 quadrants with each quadrant measuring 25%

The probability that it will take between 30 and 60 minutes to deal with a reported leak is approximately 0.187.

Mean time, μ = 65 minutes

Standard deviation, σ = 60 minutes

Probability that it will take between 30 and 60 minutes to deal with a reported leak.

The probability of dealing with a leak in a particular range can be found using the standard normal distribution.The standard normal distribution has a mean of 0 and a standard deviation of 1.

The formula for converting a normal distribution to a standard normal distribution is:

z = (x - μ)/σ

where x is the observed value

.We need to find the z-scores for the given values.

z1 = (30 - 65)/60 = -0.5833z2 = (60 - 65)/60 = -0.0833

Now we need to find the area between these two z-scores using a standard normal distribution table or calculator.

P(z1 < Z < z2) = P(-0.5833 < Z < -0.0833) = P(Z < -0.0833) - P(Z < -0.5833) = 0.4664 - 0.2794 = 0.187

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The equivalent to the fraction is 4√2

Rationalization of a surd means removing the radical sign from the denominator of a fraction. This is done by multiplying the numerator and the denominator of the fraction by a suitable expression that will eliminate the radical in the denominator.

To rationalize 8/√2, multiply the numerator and denominator of the fraction by √2. That is:

8/√2 = 8/√2 * √2 / √2

       = (8√2) / 2

       = 4√2

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1. On December 31, 2012, the consolidation worksheet journal entries for Matthews Co. are as follows

:Investment in Jackson account is debited for $55,000Patent account is credited for $18,000Common stock account is credited for $20,000Additional paid-in capital account is credited for $13,000The amount that is shown as the credit for the common stock account is $20,000, which is the result of multiplying the number of shares that Jackson has by the par value of the shares. Matthews Company records the difference between the purchase price and the book value as goodwill. The patent account is credited for $18,000, which is the result of multiplying the $60,000 book value of the patent by 30%.

2. On December 31, 2013, the consolidation worksheet journal entries for Matthews Co. are as follows

:Investment in Jackson account is debited for $48,000Goodwill account is credited for $10,000Retained earnings account is credited for $38,000Matthews Company records the difference between the purchase price and the book value as goodwill. Retained earnings are credited for the amount of Jackson Company's net income for the year.

3. The consolidation worksheet for December 31, 2013, is as follows

: ASSETSCash $45,000Accounts Receivable 60,000Inventory 110,000Equipment 240,000Investment in Jackson 672,000Total Assets $1,127,000LIABILITIESAccounts Payable $85,000Long-term debt 240,000Total Liabilities $325,000OWNERS' EQUITYMatthews Co. Common Stock $400,000Matthews Co. Additional Paid-In Capital 60,000Matthews Co. Retained Earnings 267,000Jackson Co. Common Stock 100,000Jackson Co. Additional Paid-In Capital 300,000Jackson Co. Retained Earnings 75,000Total Owners' Equity $1,202,000Total Liabilities and Owners' Equity $1,527,000

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Answer:

If two angles are vertical angles, then they are congruent.

Step-by-step explanation:

If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

angles ABD and DBC are complementary

Now, we get,

Hence,  If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

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So, the basketball player needs to shoot the ball with a velocity of u so that the maximum height attained by the ball is 10.0625 feet.

Given, A basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function,

h(x) = -0.005x² + 0.45x + 6

Here, the ball has released at an angle of 45 degrees, then the vertical velocity (v) and horizontal velocity (u) can be given as:

v = usinθ = ucosθ = gt...

As the projectile motion is a 2-D motion]where t is the time, g is the acceleration due to gravity.

As the maximum height is attained at the mid of the total time taken, thus the time taken to attain the maximum height (H) can be given as:

H = u sin(θ)/g

So, H = u/g [Here, sin(θ) = 1/root2]

Also, The total time (T) of flight can be given as:

T = 2u sinθ/g

We can calculate the value of T using the formula above.

T = 2u sinθ/g

= 2u(1/root2)/g

= u/g√2

Now, Let's put the value of T in the quadratic equation of the path of the ball,h(x)

= -0.005x² + 0.45x + 6h(x)

= -0.005(x² - 90x) + 6h(x)

= -0.005(x²- 90x + 2025 - 2025) + 6h(x)

= -0.005((x - 45)²- 1012.5) + 6h(x)

= -0.005(x - 45)² + 10.0625

As the vertex of the parabola represents the maximum height, thus the maximum height (H) can be given as, H

= 10.0625 feet

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The volumes of the prisms are 12 cm³, 135 cm³ and 1200 cm³

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

Given are prisms, We need to find their volumes,

Volume of a prism = 1/2 × area of the base × height

1) Area of the base = 1/2 × 3 × 4 = 6 cm²

Height = 4 cm

Volume = 1/2 × 4 × 6 = 12 cm³

2) Area of the base = 1/2 × 5 × 12 = 30 cm²

Height = 9 cm

Volume = 1/2 × 9 × 30 = 135 cm³

3) Area of the base = 1/2 × 15 × 16 = 120 cm²

Height = 20 cm

Volume = 1/2 × 20 × 120 = 1200 cm³

Hence, the volumes are 12 cm³, 135 cm³ and 1200 cm³

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Value of expression 1 + 1 = 2

Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.

Given expression,

1 + 1

+ is sign of Addition, Adding the numbers,

1 + 1 = 2

Hence, 2 is the value of expression 1 + 1.

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Answer:

The option that is down and right

Step-by-step explanation:

4x means there will be 4 of that variable which is x and the equal to is 24 which is at the bottom

Answer:

23.14

Step-by-step explanation:

The multiplication rule is used to calculate joint probability.

Joint probability is the probability of two events happening simultaneously. The multiplication rule states that the probability of two independent events happening together is equal to the product of their individual probabilities.

The formula can be expressed as: P(A and B) = P(A) x P(B). For example, if the probability of event A is 0.3 and the probability of event B is 0.4, then the joint probability of both events happening together is 0.3 x 0.4 = 0.12. The multiplication rule is only applicable for independent events, meaning that the occurrence of one event does not affect the probability of the other event.

When events are dependent, the calculation of joint probability is more complicated and may involve conditional probability.

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We need to know about perimeter to solve the problem.The width of the box is 6.5 feet.

Perimeter of a rectangle is the measure of the total length and width of the rectangle. In the question it is said that Ramon wraps a ribbon around the length and width of a rectangular box. The length of the box is 1 foot, the total length of ribbon used is 15 feet, we need to find the width of the box.

perimeter=2(l+b) where l is the length and b is the width

15=2(l+b)

15=2(1+b)

15-2=2b

b=13/2=6.5 feet

Therefore the width of the box is 6.5 feet.

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The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Answer:

A

Step-by-step explanation:

For test A, the unit rate is 30 words per minute divided by 4 minutes, or 7.5 words per minute.

Unit rate = 78 words/15 minutes = 5.2 words per minute for test B.

The unit rate for test C is 99 words/22 minutes, or 4.5 words per minute.

Answer:

14 is blank

Step-by-step explanation:

and its the numerator of the fraction

___ ÷ 6 = 14/6

I got 14 on a calculator not sure if it's correct.

I took 14/6 and did multiplication since it's the opposite of division 14/6*6 = 14??

Answer:

x+5 or 5+x

Step-by-step explanation:

It seems we are looking for a math expression that is the same as English expression you wrote.The sum is what we get when we add numbers. Therefore, we could restate the English expression as what do we get when we add 5 to the number x? While we do not know what specific number x represents, we do know that if we add 5 to the number x we get 5 plus x. Now the question can be restated as, "How do we write 5 plus the number x?" Do you know the answer now? Does 5 + x sound right? How about x + 5? Both of these expressions are correct as they both represent the sum of 5 and the number x.

Answer:

Hello there,

The correct answer to this question would be D 1/6

Step-by-step explanation:

I had took the test and it said it was correct.

Anyways hope this helps

if the answer is correct pls mark Brainliest

thank you, have a nice day

Answer:

C. As the fat increases, the calories increase too

Answer:

c

Step-by-step explanation:

The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

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