A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.

Answer:

54.88 square cm

Step-by-step explanation:

If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then

then its area is given by

area = d1*d2 sin [tex]\alpha[/tex]

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly  full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin [tex]\alpha[/tex]  = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.

Answer:

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

Use the Pythagorean theorem to find the altitude.

h^2 = 9^2 - 6.4^2

h^2 = 40.04

h = 6.328

area = base * height/2

area = (2 * 6.4) * 6.328/2

area = 40.5 square units

Answer:

x = 76 roses

Step-by-step explanation:

Step 1: Define variables

x = # of roses

y = # of tulips

Step 2: Write systems of equations

x = 4y + 8

5x + 2y = 414

Step 3: Use Substitution

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

Step 4: Plug in y to find x

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

x = 76

Step-by-step explanation:

x = Roses

y = Tulips

x = 4y + 8

5x + 2y = 414

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

So, the scale of dilation from shape A to B is:

[tex]\mathbf{Scale = \frac{1}{2}}[/tex]

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

Read more about transformations at:

https://brainly.com/question/11707700

Answer:

Step-by-step explanation:

The values of the slope and y-intercept are  

m =- 8/3

and  b = − 11

Answer:

the answer you are looking for is the letter B. 33

Answer:

arrow 4

Step-by-step explanation:

The amount of energy needed in the transformation from liquid to gas is equal to the gas to liquid transition.

Boiling is the mechanism by which a substance passes from the liquid phase to the gaseous form.

Like water diagram in phase:

Evaporisation is a method of phase shift in which the water transitions from a liquid to a gas (water vapour).

Condensation is the process of phase shift in which water transitions from a gas to a liquid, and the vapour becomes a cloud.

Answer:

4

Step-by-step explanation:

ya boy did the test

Hey there! :)

Answer:

x = 242 mm.

Step-by-step explanation:

Begin by setting up a proportion between the actual college building and the drawing.

[tex]\frac{22mm}{9m} = \frac{x}{99m}[/tex]

Cross multiply:

99 × 22 = 9 × x

2178 = 9x

Divide both sides by 9:

2178/9 = 9x/9

x = 242 mm.

Answer:

B

Step-by-step explanation:

(Looking at the lines in the graph, the second equation is missing a minus sign, and should be [tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex])

To find the intersection point of the pair of linear equations, we just need to equate both values of y.

The equations are:

[tex]y=\frac{2}{5}x - \frac{1}{2}[/tex]

[tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex]

Making the y from one equation equal the y of the other equation, we have:

[tex]\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}[/tex]

[tex]\frac{2}{5}x +\frac{1}{3}x = \frac{2}{3} + \frac{1}{2}[/tex]

[tex]\frac{6}{15}x +\frac{5}{15}x = \frac{4}{6} + \frac{3}{6}[/tex]

[tex]\frac{11}{15}x = \frac{7}{6}[/tex]

[tex]x = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591[/tex]

Then the y-coordinate of the point is found using this x-value in any of the two equations:

[tex]y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}[/tex]

[tex]y=\frac{7}{11} - \frac{1}{2}[/tex]

[tex]y=\frac{14}{22} - \frac{11}{22}[/tex]

[tex]y=\frac{3}{22} = 0.136[/tex]

So the coordinate of the crossing point is (1.591, 0.136)

The point that is in this coordinate in the graph is point B.

Answer:

View the picture for the answer!

Step-by-step explanation:

Answer:

The train travelled x + 200 km

Answer:

The number of kilometres traveled by the bus is x kilometres. The train travels 200 kilometres farther than the bus, meaning that the train traveled x kilometres, and an additional 200 kilometres.

So, the number of kilometres traveled by the train would be the x km traveled by bus, plus 200 km; or x + 200 km.

Hope this helps!

Answer :

[tex]x = - 6 \\ x = 1[/tex]

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

Step-by-step explanation:

if AB and CD are parallel then

90 -x +83 +46 = 180 --> x= 39

Answer:

x = 39

Step-by-step explanation:

Using the properties of parallel lines, then

x + 44 = 83 ( subtract 44 from both sides )

x = 39

Answer:

the graph represents a function.

Step-by-step explanation:

The vertical line test is a test to check if a graph represents a function.

To proceed, draw (imaginary) vertical lines through the entire domain of the graph.  If any of the line intersects the graph at any value of x, then the graph does not represent a function.

Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.

Answer:

Yes, the graph represents a function.

Step-by-step explanation:

The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.

This is because in a function, each input can only have one output.

So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.

Based on this, the given graph would represent a function.

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Step 1: Find m∠B

[tex]\frac{29}{sin82} =\frac{24}{sinB}[/tex]

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

[tex]\frac{29}{sin82} =\frac{BC}{sin42.962}[/tex]

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

Answer:

47

Step-by-step explanation:

It's just aligning each number / line to each matching one.

Answer:

47 degrees

Step-by-step explanation:

The angle that matches the angle U is angle C

The measure of angle U is 47 degrees

Answer:

x = -1

Step-by-step explanation:

The vertex is halfway between the focus and the directrix.

So here the directrix is  a vertical line  to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)

It is x = -1.

Answer:

1- %50

0.2008

Step-by-step explanation:

0.0008 1/5

(0.0008*5)+1=0.004+1=1.004/5

0.2008

→Answer:

1) 50%

7) 5.02

→Step-by-step explanation:

1)

Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.

7)

.0008 1/5 as a fraction.

So first we need to put .0008 into 1/5.

To do that we do .0008*5 which is .004.

So the fraction is now 1.004/5

To make that a decimal we do 1.004 divided by 5 which is 5.02

Answer:

3

Step-by-step explanation:

1/2 is 3 times 1/6, because 3/1  [tex]\frac{3}{1} * \frac{1}{6} = \frac{3}{6}[/tex] and 3/6 is the same as 1/2.  Thus, he can make 3 bowls of granola.

Answer:

- A cross-sectional study.

Step-by-step explanation:

A Cross-sectional study is demonstrated as the type of observational study in which the data or a representative subset of a population collected at a particular point in time is analyzed.

As per the given details, the observational study conducted by the research company would exemplify 'a cross-sectional study' as it aims to evaluate the data('viewing habits of about 50005000 ​households) collected at a specific point in time i.e. 'today' in order to 'determine the proportion of households tuning to a particular sports program.'

Answer:

19/10 or 1 9/10

Step-by-step explanation:

you first put them into common denominators

so the least common denominator is 10

so 5/2= 25/10

and 3/5= 6/10

so 25/10 minus 6/10= 19/10

hope this helps

Answer:

1 9/10

Step-by-step explanation:

5/2 - 3/5

Get a common denominator of 10

5/2 *5/5 - 3/5 *2/2

25/10 - 6/10

19/10

10/10 + 9/10

1 9/10

Question Completion

Answer:

[tex](a)120^\circ\\(b)60^\circ[/tex]

Step-by-step explanation:

In the diagram BC(Main Street) is parallel to AD(Willow Lane)

Therefore, ABCD is a Trapezoid.

Since in a trapezoid, adjacent angles are supplementary

Therefore:

[tex]\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ[/tex]

Since [tex]AB \cong CD[/tex], ABCD is an Isosceles Trapezoid.

In an Isosceles trapezoid, the base angles are congruent:  

Therefore:[tex]\angle A \cong \angle D$ and \angle B \cong \angle C[/tex]

Therefore:

[tex]\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ[/tex]

(a)

The angle between Main Street and the west path is [tex]\angle CBA = 120^\circ[/tex]

(b)

The angle between the west path and Willow Lane is [tex]\angle BAD =60^\circ[/tex]

Answer:

72 rocks.

Step-by-step explanation:

A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.

Divide 12 with 8:

12/8 = 1.5

Next, multiply the number you got (1.5) with 48:

48 x 1.5 = 72

Jessica can paint 72 rocks in 48 minutes.

~

Answer:

72 rocks

Step-by-step explanation:

So let’s create the following ratio 12:8

The 12 is the amount of rocks and the 8 is the time in minutes.

So we have to find how many rocks she can paint in 48 minutes.

So we make the following ratio x:48.

So we need to find x the amount of rocks she can paint in 48 minutes.

So to find x we have to divide 48 by 8 = 6.

So if the ratio is x6 we can just do 12 * 6 which is 72.

So she can  paint 72 rocks in48 minutes.

Answer:  No the banner is not square.

Step-by-step explanation:

If it were square, the diagonal would be about 35.36 inches.

Pythagorean Theorem: a² + b² + = c²

?25² + 25² = 48² ?

625 + 625 ?=? 2304

1250 ≠ 2304

√1250 ≈ 35.3553

Answer:

The second option

Step-by-step explanation:

Source: trust me bro

Answer:

£100

Step-by-step explanation:

if the ratio is 7:3, the difference between them is 7-3 . = 4.

So,

4x = £40

Now, calculate x

x = £10

Now,

we are able to calculate:

7x (Bridget's share) = £70

3x (Caroline's share) = £30

Sum = £100

Hope this helps.

Good Luck

Answer:

9.7 , 310.4

Step-by-step explanation:

length of each side = 64/8=8

using theorem Pythagoras

A²=10.5² – (8/2)²

A=9.7 ft

area of triangle

1/2×8×9.7=38.8

area of octagon

38.8×8=310.4

The Length of the octagon  is 9.7 and the area of octagon is 310.4.

Length of octagon

Length of each side = 64/8

Length of each side =8

Pythagoras theorems

A²=√10.5² – (8/2)²

A²=√110.25 – 16

A²=√94.25

A=9.7 ft

Area of octagon

Area of triangle=1/2×8×9.7

Area of triangle=38.8

Area of octagon=38.8×8

Area of octagon=310.4

Therefore the Length of the octagon  is 9.7 and the area of octagon is 310.4.

Learn more about Length and  area of octagon here:https://brainly.com/question/358118

#SPJ9

Answer:

Step-by-step explanation:

No of people using both gym and pool that is N( gup ) = 25

No of people using both track and pool that is N( tup ) = 30

No of people using both track and gym that is N( tug ) = 17

No of people using all that is N( gutup) = 6

No of people  using two or three facilities

= 25+30+17- 2 x 6

= 60

Total no of people = 125

No of people using only one facility

= 125 - 60

= 65 .

Ratio of people using only one facility

= 65 / 125

.52

Required probability

= .52 .

probability that the person uses exactly one of the facilities

= .52

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

Answer:

Gym A and B offers the same price

Step-by-step explanation:

[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]

Both of them has the same price

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━═━═━═━═━

If you have any questions, feel free to ask me <33

#CarryOnLearning

#HelpBrainlyCommunityGreat