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2 years ago

A carpenter wants to make roof that has a rise of 5ft and a rafter length of 16 ft answer

Mathematics

2 answers:

ASHA 777 [7]2 years ago

4 0

Just times 16 and 5 ft. together to get your answer which is 80

ehidna [41]2 years ago

3 0

16 x5 =80 so the answer is 80

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#16 Carmen had $130 more than her sister, Rosa. Rosa had twice as much money as their youngest sister Zoe. If their mother gave

kap26 [50]

Answer:

Part 16) In the beginning Carmen had $160, Rosa has $30 and Zoe had $15

Part 17) Kenji received 144 stickers

Step-by-step explanation:

Part 16)

Let

x -----> the total amount of money Carmen had in the beginning

y -----> the total amount of money Rosa had in the beginning

z -----> the total amount of money Zoe had in the beginning

we know that

x=y+130 -----> equation A

y=2z -----> equation B

x+60=2(y+80) -----> equation C

Substitute equation A in equation C and solve for y

(y+130)+60=2(y+80)

y+190=2y+160

2y-y=190-160

y=$30

Find the value of x

x=y+130-----------> x=30+130=$160

Find the value of z

y=2z

z=y/2

z=30/2=$15

therefore

In the beginning

Carmen had $160, Rosa has $30 and Zoe had $15

Part 17)

Let

x -----> the number of stickers received by Kenji

y -----> the number of stickers received by James

z -----> the number of stickers received by Ethan

we know that

x+y+z=240 ----> equation A

x=2y -----> equation B

y=3z ----> z=y/3 ----> equation C

substitute equation B and equation C in equation A and solve for y

(2y)+y+(y/3)=240

(10/3)y=240

y=240*3/10

y=72

Find the value of x

x=2y ----> x=2(72)=144

therefore

Kenji received 144 stickers

5 0

2 years ago

Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages beco

den301095 [7]

S=2c AND s-16=c+16
Use substitution so...
2c-16=c+16
C=32
S=2c so s=64

Check: s-16=c+16...64-16=32+16...48=48

So Cassandra is 32 and Seymour’s is 64

6 0

2 years ago

What value of x makes this equation true? -12 + 5x = -24 + x

Alex

Answer:

Step-by-step explanation:

-12+5x=-24+x

4x=-12

x=-3

4 0

2 years ago

One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.

vladimir1956 [14]

Answer:

estimated error=±0.725

Step-by-step explanation:

Side of the triangle= 12cm

Opposite of triangle x= 30

h= hypotenose side

Error= =±1

From trigonometry

Sin(x)=opposite/hypotenose

hypotenose=opposite/sin(x)

h=12/sin(x)

h=12Csc(x)

dh=-12Csc(x)Cot(x) dx...............eqn(1)

dx is the possible error in angle measurements

So we need to convert to radius

dx=±1°× (π/180)

=±1°(π/180)

Substitute x and dx into equation (1)

dh= - 12Csc30°Cot30°×[±(π/180)]

= -12(2)(√3)(±(π/180)

==±0.725

Therefore, estimated error=±0.725

3 0

2 years ago

A triangle has interior angles measuring 36° and 112°. Which triangles are similar to this triangle? Select True or False for ea

morpeh [17]

Hi there!

Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees.

180 - 112 - 36 = 32

So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.

triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - false

Hope this helps!

3 0

2 years ago

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