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3 years ago

Sam raked 3 bags of leaves in 16 minutes. If he continues at the same rate, how many minutes will it take him to rake 9 bags?

Mathematics

2 answers:

zmey [24]3 years ago

8 0

Answer:

48 minutes.

Step-by-step explanation:

9 divided by 3 equals 3, 16 multiplied by 3 equals 48.

ki77a [65]3 years ago

7 0

Answer: 144

Step-by-step explanation: 16 times 9= 144

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Given cos t = 1/2 tan 0 find sin (t) and sec (t)

777dan777 [17]

Answer:

Sin(t) = $\frac{\sqrt{3} }{2} }$ and $sec(t) =2$

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that $sec(t) = \frac{1}{cos(t)}$ then, if $cos(t) = \frac{1}{2}$ then $sec(t) =2$ .

On the other hand, if cos (t) = 1/2 ⇒ t = ± $\frac{\pi}{3}$

Then, the sin( $\frac{\pi}{3}$ ) = $\frac{\sqrt{3} }{2} }$

3 0

3 years ago

PLEASE HELP ME!!!!!!!

Airida [17]

<h3>Answer:</h3>

D. This is an experiment because it is applying a treatment

<h3>Step-by-step explanation:</h3>

Experiments and observational studies are both ways to find new information about a hypothesis but in different ways.

Vocabulary

First, to understand the question, let's define the key terms.

Experiment - An experiment is when a scientist purposely applies a treatment and interferes with a person's life in order to gather information.
Observational Study - This type of study attempts to study a person without interfering with their lives in any way.

These definitions eliminate the answer choices A and C because both of them match the incorrect definition of the term.

Experiment vs. Observational Study

Now, we need to figure out if this specific example is an experiment or an observational study. In this case, the nutritionist is giving a treatment of vitamins. This means that this cannot be an observational study because the scientist is interfering with people. It has to be an experiment because there is a specific treatment being applied.

5 0

2 years ago

In ΔABC, A= 30, B=120 and a= 6cm. Find the value of b, correct to 1 decimal place

ludmilkaskok [199]

Answer:

About 10.4 cm

Step-by-step explanation:

By the Law Of Sines:

$\dfrac{6}{\sin 30}=\dfrac{b}{\sin 120} \\\\\\b=\dfrac{6}{\sin 30}\cdot \sin 120\approx 10.4\text{ cm}$

Hope this helps!

5 0

3 years ago

The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t

emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1 and given area = 21

21 = (2w-1) * w

$21= 2w^2 - w$

subtract 21 on both sides

$0= 2w^2 - w - 21$

now solve for 'w'

$0= 2w^2 +6w -7w- 21$

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0 and w+3 =0

w = 7/2 w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0

4 years ago

90 is what percent of 270

erik [133]

Answer:

33 $\frac{1}{3}$ %

Step-by-step explanation:

Create a fraction where the of value is on the denominator, then multiply by 100% to change to a percentage, that is

$\frac{90}{270}$ ×100%

= 33.3333... × 100% = 33.333... % = 33 $\frac{1}{3}$ % ← exact value

4 0

4 years ago