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3 years ago

15

Kate prepared 9 kilograms of dough after working 3 hours. How many hours did Kate work if she prepared 12 kilograms of dough? As

sume the relationship is directly proportional.

1 answer:

beks73 [17]3 years ago

3 0

Answer:

4 hours

Step-by-step explanation:

cross multiply

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Don't know how to solve this problem, help would be appreciated

kenny6666 [7]

Answer:

219

Step-by-step explanation:

The figure has the shape of a trapezoid. We find the area of the trapezoid and subtract the area of the rectangular door.

area of trapezoid = (base1 + base2)h/2

area of trapezoid = (20 ft + 12 ft) * 15 ft / 2

area of trapezoid = 32 ft * 15 ft /2

area of trapezoid = 240 ft^2

area of rectangle = length * width

area of rectangle = 7 ft * 3 ft

area of rectangle = 21 ft^2

area to be painted = area of trapezoid - area of rectangle

area to be painted = 240 ft^2 - 21 ft^2

area to be painted = 219 ft^2

Answer: 219 ft^2

6 0

3 years ago

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest

Novosadov [1.4K]

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

sin²θ + cos²θ = 1
sinθ = 0.27

<u>Solving for cos</u>θ

cos²θ = 1 - sin²θ
cos²θ = 1 - (0.27)²
cos²θ = 0.0729

<u>Finding tan</u>θ

tanθ = sinθ / cosθ
tanθ = 0.27 / 0.0729
tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

θ = tan⁻¹ (3.7)
θ = 74.88°
Range is : 0 < θ < π/2 [or 0 < θ < 90°]
It lies in the range [Verified]

7 0

1 year ago

3 m 15 m 6 m Not diom to scale. Find the volume of the triangular prism.

7nadin3 [17]

3m 15 m 6 m not dion to scale and find voulume I’d the triangular 4. 90 m3

8 0

2 years ago

Read 2 more answers

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with

Katen [24]

Answer:

Elanor's standardized score is 1.19
Gerald's standardized score is 0.72
Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z= $\frac{X-M}{s}$ where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = $\frac{680-554}{106}$ ≈ 1.19

Gerald's standardized score is:

z(g)= $\frac{27-24.7}{3.2}$ ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0

2 years ago

Geometry question for homework.

mars1129 [50]

So remember that the distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

1.

$\sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3$

Distance between (4,-5) and (4,-2) is 3 units.

2.

$\sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13}$

Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.

3 0

2 years ago