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2 years ago

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Ivan has 15 yards of green felt and 12yards of blue felt to make 3 quiltsif ivan uses the same total number of yards for each qu

ilt how many yards does he use for each?

1 answer:

Juliette [100K]2 years ago

6 0

ivan used 5 yards of green for each quilt and 4 yards of blue for each quilt.

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Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

FaSSSSSSTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT and thanks yall are fast

Mama L [17]

Answer:

120 degrees

Step-by-step explanation:

It's a vertical angle, meaning that it is congruent to the one on the opposite side of it.

5 0

2 years ago

What is 9 to the 3 halfs power

timurjin [86]

9 to the 3 half power is 27. Hope that's what your wanting to know.
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2 years ago

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Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50

Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or $\frac{5}{6}$ hours from Detroit to Ann Arbor.

By the formula,

Speed = $\frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}$

Speed = $\frac{40}{\frac{5}{6}}$

= 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = $\frac{d}{t}$

d = 48t

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3 years ago

Fine the area of a parallelogram with base b and height h.<br> b = 82 cm<br> h = 16.6 cm

Alona [7]

I just added an answer to a question exactly like that. The answer would be 1, 361.2. To find area you need to multiply the base and height together. Just think, b*h=a. Base times height equals area. Good luck!

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3 years ago

Read 2 more answers