Kayla bought 9/4 pounds of apples. What is that weight as a mixed number?

Answers

Answer 1

Answer: The weight as a mixed number is 2 1/4.

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Solve the right triangle ABC, with C = 90.00◦ , a = 15.21 cm, b = 17.34 cm. Round to two decimal places.

Answers

Answer:

the hypotenuse side, c = 23.1 cm

angle A = 41.26 ⁰

angle B = 48.74 ⁰

Step-by-step explanation:

Given;

first leg of the right triangle, a = 15.21 cm

second leg of the right triangle, b = 17.34 cm

Angle C = 90 ⁰

The missing parameters;

the hypotenuse side = c

angle A

angle B

Use Pythagoras theorem to calculate the missing side "c", which is the hypotenuse

c² = a² + b²

c² = (15.21)² + (17.34)²

c² = 532.02

c = √532.02

c = 23.1 cm

The missing angle A is calculated as;

$tan(A) = (a)/(b) \n\ntan(A) = (15.21)/(17.34) \n\ntan(A) = 0.8772 \n\nA = tan^(-1) (0.8772)\n\nA = 41.26^0$

The missing angle is calculated as;

B = 90⁰ - A

B = 90⁰ - 41.26⁰

B = 48.74⁰

Divide. Give the quotient and remainder. 41÷8
Quotient:
Remainder:

Answers

Answer:

5 r1

Step-by-step explanation:

Because 40 divided by 8=5 so 8 x 5=40 and 40 but since we need 41 then we still have a remainder of 1 so 5 with a remainder of 1.

Hope it helps have a good afternoon :)

5. MAPPING Ben and Kate are making amap of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.

a. How many yards apart are Kate's and Ben's homes?

b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️

Answers

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, $d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)$ .

$d = √((6 -(-2))^2 + (2 -(-4))^2)$

$d = √((8)^2 + (6)^2)$

$d = √(64 + 36)$

$d = √(100)$

$d = 10 units$

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

$M((x_1 + x_2)/(2), (y_1 + y_2)/(2))$