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professor190 [17]
3 years ago
12

Patrick laid a pencil and a candle end-to-end. The pencil is 15.80 centimeters long, the candle is 0.303 yards long. There are 3

0.48 centimeters in a foot. How many inches long are the two items placed end-to-end? a. 0.48 in b. 16.10 in c. 17.13 in d. 43.51 in Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer: c. 17.13 in

Step-by-step explanation:

Given : Length of pencil = 15.80 cm

There are 30.48 centimeters in a foot.

i.e. \text{ 1 cm}=\dfrac{1}{30.48}\text{ foot}

i.e. Length of pencil  (in foot)= 15.80\times\dfrac{1}{30.48}

Since 1 foot = 12 inches

Then,  Length of pencil  (in inches)= 15.80\times\dfrac{1}{30.48}\times12

6.22047244094\approx6.22\text{ inches}             (2)

Length of Candle = 0.303 yards

∵ 1 yard = 3 feet

Then, Length of Candle ( in feet)=3\times0.303

1 foot = 12 inches

then, Length of Candle ( in inches)=3\times0.303\times12=10.908

\approx10.91\text{ inches}              (2)

If the two items placed end-to-end, the total length will be :-

6.22+1091=17.13\text{ inches}  [Add (1) and (2)]

Hence, the best answer is c. 17.13 in .

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Given the following diagram, enter the required information.
Verizon [17]
∠СXA = ∠BXA + ∠СXB = 30°20' + 40°35' = 70°55'
6 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped
5 0
3 years ago
Please help me. I need help please.
Mice21 [21]

Answer:

The correct options are;

EFGH has 4 congruent sides

Diagonal FH bisects angles EFG and EHG

Angle FEH is congruent to angle FGH

Step-by-step explanation:

1) Given that for a reflection, we have;

The distance of the reflected preimage from the line of reflection = The distance of the reflected image from the line of reflection

Therefore;

The distance of the point E from the line HF = The distance of the point G from the line HF

Also the reflection of an preimage (x, y) about the x-axis, gives an image (x, -y)

We can show that from the length of a line given by the equationl = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}, that the length EH ≅ GH and EF ≅ GF

Therefore since we are given that EH = EF, we have;

EH = GH = GF = EF by the definition of congruency, which gives 4 congruent sides

2) Given that EH = GH = GF = EF and HF = FH by reflective property, we have;

ΔEHF ≅ ΔGHF

∴ ∠GHF ≅ ∠EHF by Congruent Parts of Congruent Triangles are Congruent

Similarly, ∠GFH ≅ ∠EFH

Therefore, ∠GFH = ∠EFH and ∠GHF = ∠EHF

Therefore, diagonal FH bisects angles EFG and EHG

3) Given that ΔEHF ≅ ΔGHF, we have;

Angle FEH is congruent to angle FGH, by Congruent Parts of Congruent Triangles are Congruent

7 0
3 years ago
Plz help asap with a explanation of why that’s the answer
Olegator [25]

Answer:

1st option

Step-by-step explanation:

y = 1/2x + 2

7 0
3 years ago
Read 2 more answers
What is the square root of √64/25<br> A) 8/5<br> B) -8/5<br> C) ±8/5 <br> D) ±320/125
horsena [70]

Answer:

C) ±8/5


Step-by-step explanation:

Both the numerator and the denominator are positive squares (8 is the square root of 64, and 5 is the square root of 25). Finding the square root of both the numerator and the denominator will yield the simplified fraction ±8/5.

Remember: the square roots of a positive square are always both positive and negative. The square root of \sqrt{4} is 2 (2^{2} =4) and -2 (-2^{2} =4)

5 0
3 years ago
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