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Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:

Point is indicated by a yellow dot in attached graph.

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis.

Answer:

Inequality

x+35=56

Step 1: Subtract 35 from both sides.

x+35−35=56−35  

So the answer is 21.

Step-by-step explanation:

Answer:

x+35=56

Step 1: Subtract 35 from both sides.

x+35−35=56−35  

So the answer is 21.

Step-by-step explanation:

Answer:

\(\frac{169}{49}\)

Step-by-step explanation:

Square the top and bottom numbers in the fraction

13^2 = 169

7^2 = 49

169/49

Answer:

No solution

Step-by-step explanation:

Absolute values may not be less than 0.

\(\left|16-4t\right|+5-5=0-5\\\left|16-4t\right|=-5\\\mathrm{if~x~ > ~0,true}\\\mathrm{if~x~ < ~0,false}\\\mathrm{x < 0}\\\mathrm{No~Solution}\)

x is the result of the equation.

The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.

By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.

The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.

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The form of function that represents the bank account as a function of time is a linear function.

The table of values is given as illustrated:

Month Balance ($)

1           2,215.25

2          2,089.75

3           1,964.25

4            1,838.75

5            1,713.25

From the above table of values, we can see that the balance in the bank account reduces each month by $125.5

So, we have

Difference = 1,838.75 - 1713.25 =125.5

Difference = 1,964.25 - 1,838.75 =125.5

Difference = 2,089.75 - 1,964.25 =125.5

Difference = 2,215.25  - 2,089.75 =125.5

This shows a linear function.

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Answer:

no

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i just had the same question :)

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

A

Step-by-step explanation:

which number has the least value

C. 1/1,000

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Answer:

I would choose D

Step-by-step explanation:

I would choose D because it shows you all the drinks you can possibly have with a bagel.

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Hi there!

Hope this helps!

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

The value of (f-g)(x) is −2x 2−8x+12

The area of the bookmark is 72.56 cm².

The area of Rectangle is length times of width.

The width of the rectangle is 4 cm, so the diameter of each semicircle is also 4 cm.

Radius of each semicircle is 2 cm.

The area of the rectangle is length x width

= 15 cm x 4 cm

= 60 cm².

The area of each semicircle is (1/2) x π x radius²

= (1/2) x 3.14 x 2² = 6.28 cm².

The total area of the two semicircles is 2 x 6.28 = 12.56 cm².

The total area is 60 cm² + 12.56 cm² = 72.56 cm²

Therefore, the area of the bookmark is 72.56 cm².

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Here, we are required to determine how many perfect cube divisors 160,000 has.

160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

To determine how many perfect cube divisors 160,000 has;

We first need to highlight the factors of 160,000 as follows;

(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5

As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;

2 × 2 × 5 × 8 × 8 × 125.

Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

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Answer:

It would be 4:46.

Step-by-step explanation:

6:51 - 6:30 is a 21-minute time difference. 6:30 - 6:07 is a 23-minute time difference. 6:07 - 5:42 is a 25-minute time difference. 5:42 - 5:15 is a 27-minute time difference. 5:15 - 4:46 is a 29-minute time difference.

Answer:

A.

Step-by-step explanation:

Add 4:

-5x ≤ 10

Divide by -5:

x ≥ -2

By answering the presented question, we may conclude that As a result, equation the crown molding costs a total of $46.75.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0."  

To figure out the total cost of the crown moulding, measure the perimeter of Tom's bedroom and multiply it by the cost per foot.

The room's perimeter is as follows:

2(11 3/4) + 2(15 3/4) = 23 1/2 + 31 1/2 = 55 feet

When we multiply this by the cost per foot, we get:

55 feet multiplied by $0.85 per foot equals $46.75.

As a result, the crown molding costs a total of $46.75.

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Answer:

39 degrees

Step-by-step explanation:

27 + |-12| = 39 to change from -12 to 27 you have to add the distance they are away from each other on a number line by adding the absolute value of -12 to 27 to find their distance