4th grade questions help!

The value of n in the given triangle is given as follows:

\(n = 4\sqrt{5}\)

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases of the triangle are given as follows:

8 and 10.

Hence the altitude n is given as follows:

n² = 8 x 10

n² = 80

\(n = \sqrt{80}\)

\(n = \sqrt{16 \times 5}\)

\(n = 4\sqrt{5}\)

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The length of VX is approximately 9.4 yd.

The area of the triangle is approximately 56.4 yd².

The area of triangle = 1/2 * base * height.

To find the area of the triangle, we have to determine its height which is the length of VX.

Apply the sine ratio to find the length of VX:

sin 70 = opposite/hypotenuse

sin 70 = VX/10

10 * sin 70 = VX

VX ≈ 9.4 yd.

The area of triangle = 1/2 * base * height = 1/2 * 12 * 9.4

= 56.4 square yards

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Answer:

\( y = \frac{ 2}{ 3} x - 2\)

Step-by-step explanation:

\(2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.\)

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Required Answers :

1. 2x + 4 = 10

\(\: :\implies \) 2x = 10 - 4

\(\: :\implies \) 2x = 6

\(\: :\implies \) x = 6/2

\(\: :\implies \) x = 3.

Hence, Option (A) x = 3 is the answer.

2. 25/5 × 7 = ?

\(\: :\implies \) 5 × 7

\(\: :\implies \) 175/5

\(\: :\implies \) 35

Hence, The required answer is 35.

3. 100 - 50 + 10 - 5 = ?

\(\: :\implies \) 50 + 5

\(\: :\implies \) 55

Hence, Option (A) 55 is the answer.

4. 24 / 6 = ?

\(\: :\implies \) 24 ÷ 6

\(\: :\implies \) 4

Hence, Option (A) 4 is the answer.

5. A triangle has base 6 inches and height 8 inches. What is the area?

Area of triangle = ½ × Base × Height

\(\: :\implies \) 1/2 × 6 × 8

\(\: :\implies \) 1/2 × 48

\(\: :\implies \) 48/2

\(\: :\implies \) 24 sq. in

Hence, Option (A) 24 sq in is the answer.

6. What is the greatest common factor of 36 and 56?

36 = 1,2,3,4,6,9,12, 18 and 36.

56 = 1,2,4,7,8,14,28 and 56.

Hence, Option (A) 4 is the answer.

7. What is the square root of 121?

\(\: :\implies \) 11 × 11

\(\: :\implies \) 121

Hence, (A) 11 is the answer

8. If 2x + 4 = 14, what is x?

\(\: :\implies \) 2x + 4 = 14

\(\: :\implies \) 2x = 14 - 4

\(\: :\implies \) 2x = 10

\(\: :\implies \) x = 10/2

\(\: :\implies \) x = 5

Hence, Option (A) 5 is the answer

9. (3x - 5) + (7x + 1) = ?

\(\: :\implies \) 3x - 5 + 7x + 1

\(\: :\implies \) 10x - 5 + 1

\(\: :\implies \) 10x - 4

Hence, Option (A) 10x - 4 is the answer.

10. What fraction is 5/12?

\(\: :\implies \) 1/2 (approximately)

Hence, Option (A) 1/2 is the answer.

Answer:

for me apple is better its faster and how it is now its cool and yeah

Step-by-step explanation:

The surface area of the globetrotters must work with is 283.4 square inches

The formula for calculating the surface area of a sphere is expressed as:

S = 4πr²

where r is the radius of the sphere

Given that

d = 9.5in

r = 4.75in

Substitute the given parameters into the formula

S = 4π(4.75)²

S = 283.385 square inches

The surface area of the globetrotters must work with is 283.4 square inches

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Turn me into a superhero

Answer:

C
D
A
B

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

2/6 + 7/6 = 9/6

9/6 can be simplified by dividing the numerator and denominator by 3.

9/6 = 3/2

Answer:

5 weeks

Step-by-step explanation:

the two linear equations are:

sibling (A)      and  sibling (B)

y = 10x + 25   and y = 5x + 50

where y = mx + c

and x represents the number of weeks

after how many weeks will their savings accounts have the same amount of money i.e. for which value of x will both equations have the same value

inserting the value of x in both equations:

for x = 2.5  A = 50 and B = 62.5

for x = 5     A = 75  and B = 75

for x = 15    A = 175 and B = 125

for x = 75   A = 775 and B = 425

thus, after 5 weeks both siblings A and B will have the same amount of money in their accounts

Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

Answer: The drill will reach -915 feet after 18 days.

Answer:

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

But the first two common multiples of 3, 4, and 6 are,

3: 6, 9

4 : 8,12

6 : 12, 18

Answer:

12 and 24

Step-by-step explanation:

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2

Answer:

its C

Step-by-step explanation:

i just did it on edge and plus its really not cool to post answers when you dont actually know the answer bc people that actually want to help cant bc there only two answers allowed per question. so please dont answer if your not trying to help.  

The geometric series \(\sum_{n=1}^{\infty} 5(-1)^{n-1}\) converges to zero.

A mathematical term denoting an endless series of the form

a + ar + ar² + ar³ + ⋯, where r is referred to as the common ratio. The geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, is a straightforward example.

A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit.

In contrast, a divergent series is one whose partial sums do not reach a limit. The Divergent series usually approaches infinity.

From the given options let us try with \(\sum_{n=1}^{\infty} 5(-1)^{n-1}\).

\(= 5\sum_{n=1}^{\infty} (-1)^{n-1}.\)

\(= 5\sum_{n=1}^{\infty} (-1)^{n}.\frac{1}{-1}\).

\(= -5\sum_{n=1}^{\infty} (-1)^{n}.\)

= - 5[- 1 + 1 - 1 + 1 ...+ 1].

= - 5[0].

= 0.

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Answer: 0.18

Step-by-step explanation:

The probability of the event P(A and B) is equal to 0.18.

The correct option is (C).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been introduced in Arithmetic to forecast how likely occurrences are to happen.

As per the given data:

We are given the probability of two events:

P(A) = 0.60 and P(B) = 0.30

We are also given that A and B are independent events.

To find the probability of P(A and B):

The term and is equivalent to the term intersection.

P(A and B) = P(A∩B)

For any 2 independent events A and B the probability P(A∩B) is given by:

= P(A) × P(B)

By substituting the given values in the question

= 0.60 × 0.30

= 0.18

The probability of the event P(A and B) is equal to 0.18.

Hence, The probability of the event P(A and B) is equal to 0.18.

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The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

12.22% probability that a person who confessed to a crime is guilty

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

Event A: Confessing

Event B: Being guilty

Probability of confessing:

10% of 97%(non-guilty) or 45% of 3%(guilty). So

\(P(A) = 0.1*0.97 + 0.45*0.03 = 0.1105\)

Confessing and being guilty:

3% are guilty, and of those, 45% confess. So

\(P(A \cap B) = 0.03*0.45 = 0.0135\)

What is the probability that a person who confessed to a crime is guilty?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0135}{0.1105} = 0.1222\)

12.22% probability that a person who confessed to a crime is guilty

Answer:

Part A

1. Third degree polynomial:  \(f(x) = ax^3 + bx^2 + cx + d\)

The function can have as many as 3 zeroes only, but it can have 4 intercepts if you include the y-intercept.

2.  \(g(x) = (x + 2)(x - 1)(x - 2) =x^3-x^2-4x+4\)

Zeroes at: x = -2, x = 1 and x = 2

y-intercept at (0, 4)

End behavior:

\(x \rightarrow-\infty, f(x) \rightarrow-\infty\\\\x \rightarrow\infty, f(x) \rightarrow\infty\)

3. see attached

Part B

4. \(f(x)=(x-2)(x-5)=x^2-7x+10\)

Direction: opens upwards

y-intercept: (0, 10)

zeros: x = 2, x = 5

5. see attached

**unfortunately I am unable to answer any additional questions as Brainly has a 5-question rule**

Answer:

Step-by-step explanation:

Part C: Question 6... join the 2 graphs together to make 1 (see attachment!)

Answer:

1 and 3

Step-by-step explanation:

discriminant = 16 - 4 * 1 * 3 = 16 - 12 = 4

x1 = (4 + √4)/2 = (4+2)/2 = 6/2 = 3

x2 = (4 - √4)/2 = (4-2)/2 = 2/2 = 1

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Step-by-step explanation:

Is this correct ? .........

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Hey there!

The formula is:

• m = rise / run

• m = y₂ – y₁ / x₂ – x₁

• y₂ = –6

• y₁ = 0

• x₂ = 0

• x₁ = 6

• Equation: “–6 – 0 / 0 – 6”

–6 – 0 = –6 ⬅️ numerator (TOP number)

0 – 6 = –6 ⬅️ denominator (BOTTOM number)

Equation: –6 / –6

SOLVE above and you will have your ANSWER.

–6 / –6 = 1 because double negatives makes a negative.

The slope of line that passes through your given points is: 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)