Logan is reading about architecture and learns that trusses can be used to support roofs. He wants to find the measures of the angles on a truss. truss.

Answer:

5.64 cm

Step-by-step explanation:

Required:How much more rain fell in Dubaku's town than in Elliot's town?

8 centimeters of rain fell in Dubaku's hometown

2.36 centimeters of rain fell in Elliot's hometown

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 cm.

Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.

Answer:

5.64

Step-by-step explanation:

Answer:

3.26

Step-by-step explanation:

Rounding to the nearest hundredth means round to the nearest two decimal places.

To do this, all we need to look at is the 3rd decimal place.

Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.

Therefore, the answer should just be 3.26

Answer:

3.26

Step-by-step explanation:

You round the second place after the decimal (6) by the place after it (4).

If the place after the number you need to round is a 5 or up, the decimal you round goes up one, if it is a 4 or lower it stays the same.

E.G. if 3.2649 was 3.2659 the hundreds would be rounded to 3.27. Since it's a 4, the six stays the same at 3.26.]

hope this helps (/o.o)/<3

Answer:

The answer is, B. 40.192

Step-by-step explanation:

The formula for circumference is, C=2(pi)r.

2×3.14=6.28

6.28×6.4=40.192

Answer:

800

Step-by-step explanation:

I believe it its 800 inches Mark me brainliest

Answer:

D

Step-by-step explanation:

I'm taking this to mean 16^(1/2)

If I am correct, then the answer is the square root of 16 which among the answers given is 4

So the answer is D

Answer:

[tex]x = 42[/tex]

Step-by-step explanation:

Given

The diagram above

Required

Find x

When two parallel lines are divided in such a way as it is in the above figure;

x and 138 are said to be supplementary angles

The rule about supplementary angles is that, they add up to 180

In other words,

[tex]x + 138 = 180[/tex]

To solve this, we subtract 138 from both sides

[tex]x + 138 - 138= 180 - 138[/tex]

[tex]x = 180 - 138[/tex]

[tex]x = 42[/tex]

Hence, the value of x when solved using the properties of parallel lines is: [tex]x = 42[/tex]

Answer:

HL

Step-by-step explanation:

By the reflexive property of congruence, NL is congruent to NL. Note that NL is a leg shared by both triangles. Next, we can see that the two hypotenuses of the triangles are marked as congruent. This is enough information to prove that NKL is congruent to NJL by the HL congruence theorem.

Hope this helps! Please feel free to contact me if you have more questions :)

NVM IDK please delete my answer sorry idk how

Answer:

1/6

Step-by-step explanation:

an even number has a 1/2 chance of being rolled and a number greater than 4 has a 1/3 chance of getting rolled. multiply 1/2 and 1/3 together and you get 1/6 for your answer.

Answer:

Answer is option C.

Step-by-step explanation:

This is because it does not take into account "random selection" (probability). Thus the mode of selection is biased. The mere fact that a teacher selects his favourite student means the experiment is biased.

Answer:

28.13 cm

Step-by-step explanation:

The first step we need to do is create the segment AC.

Then, we can find its length using the law of cosines in the triangle ABC:

b^2 = a^2 + c^2 - 2*a*c*cos(B)

b^2 = 8^2 + 6^2 - 2*8*6*cos(95)

b^2 = 64 + 36 - 96*(-0.0872)

b^2 = 108.37

b = 10.41 cm

Then, in the triangle ADC, we can use the Pythagoras' theorem to find the length of DC:

DC^2 + DA^2 = AC^2

DC^2 + 25 = 108.37

DC^2 = 83.37

DC = 9.13 cm

So the perimeter of ABCD is:

Perimeter = AB + BC + CD + DA

Perimeter = 6 + 8 + 9.13 + 5 = 28.13 cm

Answer:

The perimeter of the shape is 28.13 cm

Step-by-step explanation:

First of all, we will have to draw a line from point A to point C. This will divide the shape into two parts, both of which are triangles.

We will use the dimensions of the newly formed triangle ABC to get the side AC.

The cosine formula will be apt for this purpose:

[tex]AC^{2}=AB^{2}+BC^{2}-(2 \times AB\times BC\times cos \theta)[/tex]

[tex]AC^{2}=6^{2}+8^{2}-(2 \times 6\times 8\times cos( 95))=108.37[/tex]

[tex]AC=\sqrt{108.37}=10.41 cm[/tex]

Now we have AC as 10.41 cm,

we can see that AC forms the hypothenuse of the right-angled triangle ADC.

From Pythagoras' theorem,  DC can be calculated as

[tex]DC =\sqrt{AC^{2}- AD^{2}}[/tex]

[tex]DC =\sqrt{10.41^{2}- 5^{2}}= 9.13 cm[/tex]

Therefore the perimeter of the shape is 8 + 5 + 9.13 + 6 =28.13 cm

The perimeter of the shape is 28.13 cm

Answer:

(1,2)

Step-by-step explanation:

To find the midpoint, add the x coordinates and divide by 2

(-2+4)/2 = 2/2 =1

add the y coordinates and divide by 2

(-2+6)/2 = 4/2 = 2

The midpoint is

(1,2)

Answer:

30 of each type sold.

Step-by-step explanation:

It would be 30 since the LCM of 10 and 3 is 30.

If you need further explanation, reply to this answer but that's about it.

Answer:

[tex]\frac{9}{8}[/tex] cup

Step-by-step explanation:

write a proportion 1 1/2 / x = 2 / 1 1/2. when solved, the answer is 9/8 cup

Answer:

Anwser is C

Step-by-step explanation:

RS looks like PT so just add TQ and thats 3 i guess

Answer:

The rate of change represents the number of stamps that is added each month.

The rate of change is 3

The initial value represents the number of stamps she had before she started adding 3 every month.

The initial value is 8

Step-by-step explanation:

The rate of change is 3 because that is how many stamps are added each month.

The initial value is 8 since that was the original amount she had before adding stamps every month.

Answer:

Answers are below

Step-by-step explanation:

The rate of change represents the number of stamps added every month.

The rate of change is 3.

The initial value represents how stamps she had before adding more.

The initial value us 8.

Answer: the trap is 22.5 in. cubed

Step-by-step explanation:

Answer:

22.5 in cubed

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

5( x + 7) - 3 ( x - 4) = 7x + 2

Distribute

5x+35 - 3x +12 = 7x +2

2x +47 = 7x+2

Subtract 2x from each side

2x+47-2x =7x -2x+2

47 = 5x+2

Subtract 2 from each side

47-2= 5x+2-2

45= 5x

Divide by 5

45/5 =5x/5

9 =x

Answer:

x = 9

Step-by-step explanation:

→Distribute the 5 to (x + 7), Distribute the -3 to (x - 4):

5(x + 7) - 3(x - 4) = 7x + 2

5x + 35 - 3x + 12 = 7x + 2

→Add like terms:

2x + 47 = 7x + 2

→Subtract 2x from both sides:

47 = 5x + 2

→Subtract 2 from both sides:

45 = 5x

→Divide both sides by 5:

9 = x

Answer=7:8

150 are adults

70:80 men to women

To simplify it you just to half it untill you can't no more,or find a mutiple that goes into both of them.

I divided them both by 5 = 14:16

Now divide  by two 7:8

Hope that's right!

Answer:

The height will be same in 6 years time

Step-by-step explanation:

Since we do not know the years it would take, we can call this x

Kindly note that 12 inches is 1 feet, so 5 ft would be 60 inches and 10 feet will be 120 inches

Now, the height of tree A after x years would be;

60 + 18x

For tree B, height would be 120 + 8x

Now, we were made to know that they have equal height at the xth year.

Thus;

60 + 18x = 120 + 8x

10x = 120-60

10x = 60

x = 60/10 = 6

Answer:

[tex]5\[/tex]

Step-by-step explanation:

Let x be cost of 1 eraser.

[tex]5 +4x=25[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

Answer:

The buyer bought four erasers and a magazine for $25.

The cost of each magazine is $5

The cost of an eraser is x dollars

The cost of 4 erasers is 4x

Step-by-step explanation:

Cost of the Erasers + Cost of the Magazine = Total Cost

4x + $5 = $25

Subtract 5 from both sides to isolate the term with the variable.

4x + 5 -5 = 25 -5

4x = 20

The last thing you do is you divide it by 4 on both sides to isolate the variable.

x = 20/4 = $5

Answer:

a + b = 1 or 4

Step-by-step explanation:

The integer = 3a5b

The factors of the integer includes 5 and 6

∴ 5 × 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0

We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30

We have a50 divisible by 30, which gives, a5 divisible by 3 which includes

15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or  4 + 0 = 4.

Answer:

the coefficient is A.5

Answer:

5

Step-by-step explanation:

5x^2 +3

The coefficient is the number next to the variable

5 is the coefficient

Answer: a) similar, AA similarity, ΔKQR

Step-by-step explanation:

Given: QR || ML therefore,

∠KLM ≡ ∠KQR by Alternate Interior Angles Theorem

∠KML ≡ ∠KRQ by Alternate Interior Angles Theorem

also, ∠RKQ ≡ ∠MKL by Vertical Angles Theorem

Since the angles are congruent then

ΔKLM ≅ ΔKQR by Angle-Angle Similarity Theorem

Answer:

35

Step-by-step explanation:

circumference is pi x diameter since this is a semi circle you then divide it by 2

so if you work backwards 110x2 = 220 divided by pi

then you get the diameter and divide it by 2 to find the radius

Answer:

I think the ship was farther by 40°

Answer:

j < 5

Step-by-step explanation:

=> 10 > j+5

Subtracting both sides by 5, we get

=> 10-5 > j

=> 5 > j

OR

=> j < 5