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Owen is building a small wooden birdhouse. The bottom of the birdhouse is a rectangular prism that opens up to a roof in the shape of a rectangular pyramid. (Diagram is not drawn to scale.)How much space is inside Owen’s birdhouse?

Answer:

but where is que

Step-by-step explanation:

i don't see the question

Answer:

c

Step-by-step explanation:

Answer:

C. √89

Step-by-step explanation:

Step 1: Define/formula

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the legs of a right triangle, squared, must equal the hypotenuse, squared.

The legs of a triangle are the sides that form the right angle.

The hypotenuse of a right triangle is the longest side.

Step 2: Solve

Here, I am solving for the hypotenuse.

[tex]formula=a^2+b^2=c^2[/tex]

[tex]a, b=legs[/tex]

[tex]c=hypotenuse[/tex]

[tex]5^2+8^2=c^2[/tex]

[tex]25+64=c^2[/tex]

[tex]89=c^2[/tex]

Step 3: Conclude

Since the last step is to find the square root of 89, option 'C' is the right answer.

Answer:

its c

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Explanation below.

Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

Step-by-step explanation:

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.

There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

Answer:

3 1/2 hours

Step-by-step explanation:

84/24 = 3.5

Answer:

5. m<A = 25.3°; m<B = 64.7°

6. m<A = 40.2°; m<B = 49.8°

Step-by-step explanation:

Recall: SOHCAHTOA

5. Reference angle = <A

Opposite = 9

Adjacent = 19

Apply TOA:

Tan A = Opp/Adj

Tan A = 9/19

A = Tan^{-1}(9/19)

A = 25.3461759° ≈ 25.3° (nearest tenth)

Reference angle = <B

Opposite = 19

Adjacent = 9

Apply TOA:

Tan B = Opp/Adj

Tan B = 19/9

B = Tan^{-1}(19/9)

B = 64.6538241° ≈ 64.7° (nearest tenth)

6. Reference angle = A

Opposite = 20

Hypotenuse = 31

Apply SOH:

Sin A = Opp/Hyp

Sin A = 20/31

A = sin^{-1}(20/31)

A = 40.2° (nearest tenth)

Reference angle = B

Adjacent = 20

Hypotenuse = 31

Apply CAH:

Cos B = Adj/Hyp

Cos B = 20/31

B = cos^{-1}(20/31)

B = 49.8° (nearest tenth)

Answer:

6 hours

Step-by-step explanation:

The trick to this type of problem is using an equal amount of time.

The least common multiple of 7 and 42 is 42

At 7 hours per wall

In 42 hours the bricklayer could build

42/7 = 6 walls

At 42 hours per wall

In 42 hours the apprentice could build

42/1 = 1 walls

Working together in 42 hours they could build 6 + 1 = 7 walls

42hours/7walls = 6hours/ wall

--------------------------

Math only

x = 1 wall/7hours + 1wall/42 hours

use common denominator of 42

x = 6w/42 hr + 1w/42hr

x = 7w/42 hr

reduce

x = 1w / 6hr

Answer:

The surface area of the cyclinder=2πr²+2πrh

=(2×3.14×10²)+(2×3.14×10×6)

=628.5714285714+377.1428571428

=1005.714285714cm²

round it as possible

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

[tex]N \to[/tex] Number of balls

For a box, the probability that there are N balls in it is:

[tex]Pr = 0.5^N[/tex]

For 2 boxes, it is:

[tex]Pr = 2 * 0.5^N[/tex]

From the question, we have:

[tex]\frac{80}{10000} \to[/tex] Favorable outcome

To solve for N, we have:

[tex]2 * 0.5^N = \frac{80}{10000}[/tex]

[tex]2 * 0.5^N = 0.008[/tex]

Divide both sides by 2

[tex]0.5^N = 0.004[/tex]

Take log of both sides

[tex]\log(0.5^N) = \log(0.004)[/tex]

Apply law of logarithm

[tex]N\log(0.5) = \log(0.004)[/tex]

Make N the subject

[tex]N = \frac{\log(0.004)}{\log(0.5)}[/tex]

[tex]N =7.966[/tex]

Approximate

[tex]N = 8[/tex]

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

[tex]Balls \approx \frac{N}{2}[/tex]

[tex]Balls \approx \frac{8}{2}[/tex]

[tex]Balls \approx 4[/tex]

4 balls in each box

Answer:

(5, 8)

Step-by-step explanation:

(5. – 5) down 3 units => (5, -8)

reflect x-axis => (5 , 8)

Answer:

115/13

Step-by-step explanation:

convert mixed number into improper fraction

8×13+11

multiply

104+11/13

add

104+11=115

115/13

Answer:

Area of a parallelogram = bh

= (14 × 10)cm^2 = 140cm^2 (ans)

Hope it helps

Answer:

OB. 12

Step-by-step explanation:

Since the die is a fair six-sided die and the question uses should... we know that a roll of "4" has a 1/6 chance to land every time the die is rolled.

1. 72 rolls * 1/6 chance to roll a 4 = 12 times

Answer:

$20 per week for 10 weeks

Step-by-step explanation:

It's the only one that even mathematically makes sense, and this tactic is also used to make it look better than $200 upfront

Answer:

The first answer is right (18).  Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.

Step-by-step explanation:

Answer:

1. Elanor's standardized score is 1.08.

2. Gerald's standardized score is 3.24.

3.  A. Gerald.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

1. What is Elanor's standardized score?

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 561 and standard deviation 110. This means that we have [tex]X = 680, \mu = 561, \sigma = 110[/tex].

The standardized score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{680 - 561}{110}[/tex]

[tex]Z = 1.08[/tex]

Elanor's standardized score is 1.08.

2. What is Gerald's standardized score?

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20.2 and standard deviation 2.1. This means that we have [tex]X = 27, \mu = 20.2, \sigma = 2.1[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27 - 20.2}{2.1}[/tex]

[tex]Z = 3.24[/tex]

Gerald's standardized score is 3.24.

3. Assuming that both tests measure the same kind of ability, who has the higher score?

Due to the higher standardized score, Gerald

Answer:

[tex]C)[/tex] [tex]1/32 ~yd^3[/tex]

Step-by-step explanation:

[tex]l*b*h[/tex]

--------------------

hope it helps...

have a great day!!

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Answer:

77/24

Step-by-step explanation:

Answer:

[tex]median=6 ~eggs[/tex]

Step-by-step explanation:

[tex]The~median ~is ~the ~middle ~line ~in ~the ~box ~plot[/tex].

-----------------------------

hope it helps...

have a great day!!

Answer:

Q1 : 2. Q3: 8. Median:6

Step-by-step explanation:

2-8=6 hope that helps

Answer:

Could u include a picture of the figures as well?

Step-by-step explanation:

Answer: z = 3, -1.5 + 1.5[tex]\sqrt{3}[/tex]i, -1.5 - 1.5[tex]\sqrt{3}[/tex]i

Step-by-step explanation:

      A cubic equation will have three solutions. This equatoin will give us one real solution. We will also have two complex solutions. These are solutions that involve "imaginary numbers" and will utilize the value i. We will write the equation in standard form and factor it.

              z³ - 27 = 0

              (z - 3)(z² + 3z + 9) = 0

      The first factor gives us z = 3, because 3 - 3 = 0. Now, we will look at when the second factor equals 0. Let us complete the square.

              z² + 3z + 9 = 0

              (z² + 3z + 2.25) + 9 - 1.5 = 0

              (z² + 3z + 2.25) + 6.75 = 0

              (z + 1.5)² + 6.75 = 0

      Lastly, we can continue solving. We will subtract 7.5 from both sides of the equation and then take the square root of both sides. Then, we will subtract 1.5 from both sides of the equation and simplify the radical.  [tex]i=\sqrt{-1}[/tex].

              (z + 1.5)² = -6.75

              z + 1.5 = ±[tex]\sqrt{6.75}[/tex]i

              z = -1.5 ±1.5[tex]\sqrt{3}[/tex]i

Answer:

  z = 3, -1.5+1.5√3i, -1.5-1.5√3i

Step-by-step explanation:

You want the solutions to the equation z³ = 27.

A cubic equation has three solutions. This one has one positive real solution and two complex conjugate solutions.

We can rewrite the equation to standard form, then factor the difference of cubes.

  z³ -27 = 0

  (z -3)(z² +3z +9) = 0

The first factor will be zero when z = 3, so that is one solution.

The second factor will be zero when ...

  (z +1.5)² +6.75 = 0 . . . . . . . complete the square

  (z +1.5) = ±√(-6.75) = ±√(-27/4) = ±(3/2)√(-3) . . . subtract 6.75; square root

  z = -1.5 ±1.5√3i

The three solutions to the equation are ...

<95141404393>

I think it is -4 and positive 2

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]1 + 2 \\ = 3[/tex]