Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet

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Answer:                          [4.]  [V=Bh]  [7.5]  

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The triangle is the base of the figure. What is the area of the base?

4.

What is the formula for the volume of a prism?

V=Bh.

What is the height of the prism?

7.5

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Step-by-step explanation:

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In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

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Also Theres Proof ↓  [all the Way Down - Screenshot]

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Answer: Answer:                          [4.]  [V=Bh]  [7.5]  

Answer:

720 cm²

Step-by-step explanation:

Given 2 similar cylinders with ratio of height = a : b , then

ratio of areas = a² : b²

Here ratio of heights = 1 : 2 , then

ratio of area = 1² : 2² = 1 : 4 , that is

Surface area of B is 4 times surface area of A

surface area of B = 4 × 180 = 720 cm²

The median nerve and Klumpke's palsy are both related to nerve injuries in the arm, but they involve different nerve pathways and result in different symptoms.

The median nerve runs from the brachial plexus in the neck through the arm to the hand, and controls movement and sensation in the thumb, index, middle, and part of the ring fingers. Damage to the median nerve can result in symptoms such as weakness, numbness, and tingling in these fingers, as well as muscle wasting in the thumb.

Klumpke's palsy, on the other hand, involves damage to the lower brachial plexus nerves, specifically the C7, C8, and T1 nerve roots. This can result in weakness or paralysis in the hand and wrist, with symptoms such as a claw-like deformity, decreased grip strength, and loss of sensation in the affected areas.

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The marginal benefit of selling the bouquets is given by the $ 12 for every bouquets sold

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the cost of 400 bouquets be = $ 4,800

Now , the cost of 1 bouquet = cost of 400 bouquets / 400

On simplifying , we get

The cost of 1 bouquet = 4800 / 400 = $ 12

And , the cost of 600 bouquets be = $ 7,200

Now , the cost of 1 bouquet = cost of 600 bouquets / 600

The cost of 1 bouquet = 7200 / 600 = $ 12

Hence , the cost of 1 bouquet is $ 12

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The probability that there will be no matching pair when choosing 8 shoes at random from a closet containing 20 pairs of shoes is approximately 0.317.

To find the probability of no matching pair, we can consider the number of ways to choose 8 shoes out of 40 (20 pairs) without any duplicates and divide it by the total number of ways to choose 8 shoes out of 40.

The total number of ways to choose 8 shoes out of 40 is given by the binomial coefficient C(40, 8), which can be calculated as:

C(40, 8) = 40! / (8! * (40 - 8)!) = 769,046,850

Now, let's calculate the number of ways to choose 8 shoes without any duplicates. We can think of it as choosing 8 distinct pairs out of the 20 pairs, which can be calculated as:

C(20, 8) = 20! / (8! * (20 - 8)!) = 125,970

Therefore, the probability of no matching pair is:

P(no matching pair) = C(20, 8) / C(40, 8) ≈ 125,970 / 769,046,850 ≈ 0.00016386

Finally, we can subtract this probability from 1 to find the probability of having at least one matching pair:

P(at least one matching pair) = 1 - P(no matching pair) ≈ 1 - 0.00016386 ≈ 0.99983614

The probability that there will be no matching pair when choosing 8 shoes at random from a closet containing 20 pairs of shoes is approximately 0.317, or 31.7%.

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Answer:

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Let the speed of the current be x.

The speed with current is 15 + x and the speed against current is 15 - x.

The time difference to travel the distance of 63 km is 4 hours:

Answer:

v=7

Step-by-step explanation:

\(-19v=-133\\v=\frac{-133}{-19}\\ v=7\)

Hope this helps!
edit:
When -19v = -133, you have to get v alone.

This means you have to remove the -19 from the front of the v

To do this, you divide by the -19(the coefficent)

When you divide, you must divide from both sides, and thus you will get:

\(v=\frac{-133}{-19}\)

The negative signs cancel out, and result in \(\frac{133}{19}\)

From there, you just calculate it and you get 7.

:3

Answer:

one solution

Step-by-step explanation:

7(x-4)=4x+5

solve for x

7x-28=4x+5

3x=33

x=11

The equation of the parabola as \((y-6)^2 = 12(x-0) or (y-6)^2 = 12x.\)

Given an axis equation of y=6, focus at (0,6), and p=-3, this is a horizontal parabola with its vertex at (0,6).

Since p<0, it opens to the left.

The standard equation of a horizontal parabola with vertex (h,k) and distance p is \((y-k)^2 = -4p(x-h).\)

Plugging in the values (h,k)=(0,6) and p=-3, we get the equation of the parabola as \((y-6)^2 = 12(x-0) or (y-6)^2 = 12x.\)

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Answer:

2/5

Step-by-step explanation:

5/2x = 1

2/5 x 5/2x = 1 x 2/5

x = 2/5

Answer:

x = 2/5

Explanation:

Step 1: Multiply both sides by 2/5.

(2/5) * (5/2x) = (2/5) * (1)

x = 2/5

To find the height of the tent, we need to use the Pythagorean theorem since we have a right triangle formed by one of the slanted sides, the height of the tent, and half of the base of the tent (since the triangle is isosceles).

Let's call the height of the tent "h". Then we have:

(1/2)*6^2 + h^2 = 8^2

Simplifying and solving for h, we get:

18 + h^2 = 64

h^2 = 46

h ≈ 6.78 feet

So the height of the tent is approximately 6.78 feet.

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The probability of customers buying each insurance is 1/24.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of sales is 6.

Total number of customers is 12.

The number of customers interested only in auto insurance is 6.

The number of customers interested only in homeowners insurance is 4.

The number of customers interested only in life insurance is 2.

Now, the probability that two sales are for auto insurance is given as,

2/6 = 1/3

The probability that two sales are for homeowners insurance is given as,

2/4 = 1/2

And,  the probability that two sales are for life  insurance is given as,

2/4 = 1/2

Thus the probability of two sales for each insurance is given as the product of all the three probabilities as,

 1/3 × 1/2 × 1/2 = 1/12

And, the probability of six customers out of 12  buying the sales is,

6/12 = 1/2

Thus, the probability for the given case is,

1/2 × 1/12 = 1/24

Hence, the probability for the given problem is 1/24.

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Answer:

Step-by-step explanation:

B

Answer:

1/1 10/10 2/2 100/100

Step-by-step explanation:

The examples are infinite.

Answer:

\( \frac{10}{7} \: or \: 1 \frac{3}{7} \)

Step-by-step explanation:

\( - \frac{5}{7} \div - \frac{1}{2} = - \frac{5}{7} \times - \frac{2}{1} \)

First you reciprocate the fractions and change the division sign to multiplication.

\( - 5 \times - 2 = 10 \: and \: 7 \times 1 = 7\)

Therefore the answer is:

\( \frac{10}{7} \)

Step-by-step explanation:

CH4 + 2O2 →2H2O + CO2

the answer

Answer:

The balanced chemical equation of the given reaction are;

b.CH4 + 202-> 2H20 + CO2

Step-by-step explanation:

C=C

H4=2H2

2O2=O2+2O(2O2)

I Think it helps you.

Answer:

Rafael will read 240 pages

Answer:

240

Step-by-step explanation:

Answer:

d >= $87

Step-by-step explanation:

Since we are not given the exact difference between the amount of money that Danny has in comparison to his brother, then this would ultimately be an inequality question. We are told that Danny has atleast $15 more than his brother, meaning that the minimum that Danny can have is $15 more than his brother. Danny's brother has $72 so we need to add these two values together.

$72 + $15 = $87

Therefore Danny would have a minimum of $87 but at the same time can have more than that. Therefore, we can use the following inequality to represent Danny's money (d)

d >= $87

Answer:

please see the attached I put the answer.

Step-by-step explanation:

I put the steps I did, to graph it.

Answer:

C. (x - 6)(x - 8)

Step-by-step explanation:

To factorize the expression x^2 - 14x + 48, we need to find two binomial factors whose product is equal to the given expression. We are looking for two numbers that multiply to give 48 and add up to -14.

The possible factor pairs of 48 are:

1 * 48

2 * 24

3 * 16

4 * 12

6 * 8

Among these pairs, the only pair whose sum is -14 is 6 and 8.

So, the factorization of the expression x^2 - 14x + 48 is:

(x - 6)(x - 8)

Answer: C

Step-by-step explanation:

To factorize the equation x^2 - 14x + 48, we need to find two binomial factors that, when multiplied together, result in the given quadratic expression.

To factorize the quadratic equation, we look for two numbers that multiply to give the constant term (48) and add up to give the coefficient of the linear term (-14). In this case, the numbers are -6 and -8 since (-6) * (-8) = 48 and (-6) + (-8) = -14.

Now, we can rewrite the quadratic expression as follows:

x^2 - 14x + 48 = (x - 6)(x - 8)

Therefore, the factored form of the equation x^2 - 14x + 48 is (x - 6)(x - 8).

Answer:

  A.  13.58 square units

Step-by-step explanation:

You want the area of a parallelogram with side lengths 3 units and 6 units, and one angle 49°.

The height of the parallelogram can be found as the product of the sine of a vertex angle and either of the side lengths.

  h = (3 units)·sin(49°) = 2.264 units

Then the area is the product of that height and the other side length:

  A = bh = (6 units)(2.264 units) ≈ 13.58 units²

The area of ABCD is about 13.58 square units.

__

Additional comment

The diagonal between the vertices with the larger angle cuts the parallelogram into two congruent triangles, each with sides 3 and 6 and included angle 49°. The area of each triangle is ...

  A = 1/2ab·sin(C) = 1/2·3·6·sin(49°)

Then the area of both of them is ...

  A = 2(1/2·3·6·sin(49°)) = 3·6·sin(49°) . . . . as above

It doesn't matter which angle you use. The sine values are all the same:

  sin(x) = sin(180° -x)

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

Answer: nvm its 36

Step-by-step explanation:

After the two extra carts are stack with the first two, it adds 20 inches. Meaning that each one added 10 inches more. Therefore, if each cart adds 10 inches, we subtract that amount from the two stacked carts

If 2 carts stack to a length of 46 inches and 4 carts stack to a length of 66 inches then the length of 1 cart is 33 inches.

Given, 2 carts stack to a length of 46 inches.

4 carts stack to a length of 66 inches.

We can see that the length of the stack increases as the number of carts increases.

To find the length of 1 cart, we need to determine the increase in length per cart.

Increase in length for 2 carts:

46 inches - 0 inches  = 46 inches

Increase in length for 4 carts:

66 inches - 46 inches = 20 inches

Now, calculate the increase in length per cart:

Increase in length per cart = Total increase in length / Number of carts

Increase in length per cart = (46 inches + 20 inches) / 2 carts

Increase in length per cart = 66 inches / 2 carts

Increase in length per cart = 33 inches

Therefore, the length of 1 cart is 33 inches.

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Answer:$46.75

Step-by-step explanation:

The total is the whole or 100%

55=100%

x=15%

Multiply across

100%*x=55*15%

x=8.25

Now we minus 8.25 from 55=

$46.75

Answer:

7A, 8D

Step-by-step explanation:

The compound interest formula is as followed

\(A = P(1+\frac{r}{n} )^{nt}\\\)

A = accumulated amount

P = principle

r = interest rate

n = compounding

t = time

The accumulated amount is represented by f(x).

The principle is the amount of money you start with. In this case Tommy starts with 2000 dollars. P = 2000

The interest rate is 5%. This needs to be converted into a decimal.

5% = 0.05 = r

The money is compounded annually, thus n = 1.

The time is represented by x. x = t.

thus

\(f(x) = 2000(1+0.05)^{x}\)

After six years, you simply find f(6), or substitute 6 into x.

f(6) = 2000(1.05)^6 = $2,680.19

Answer:

1

Step-by-step explanation:

easy

Step-by-step explanation:

three solutions of the equation:

y = -2x - 1

=>

1) (0, -1)

2) (1, -3)

3) ( -1, 1)

Complete Question

The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.

What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?

Answer:

\(P(\=x >96 )=0.01884\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=12\)

Sample mean \(\=x =90\)

Standard Deviation \(\sigma=10\)

Generally

\(\sigma_x=\frac{\sigma}{\sqrt{10}}\)

\(\sigma_x=\frac{10}{\sqrt{12}}\)

\(\sigma_x=2.887\)

Generally the equation for P(\=x >96 ) is mathematically given by

\(P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})\)

\(P(\=x >96 )=P*(Z>\frac{90-96}{2.887})\)

\(P(\=x >96 )=1-P(Z<2.08)\)

\(P(\=x >96 )=1-0.98116\)

\(P(\=x >96 )=0.01884\)