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3 years ago

What is the unit rate for this? Time: 1, 2, 3, 4 Amount: 0.6, 1.2, 1.8, 2.4

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

1:0.6

Step-by-step explanation:

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I need help with these two trigonometry problems.

Sloan [31]

Answer:

$B \approx 32.1\°; A \approx 39.0\°$

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

$\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c$

In our case, for the left triangle,

$\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°$

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

$sin\ B \approx 0.53 \rightarrow B \approx 32.1\°$

Same difference with the right triangle. With the same calculations

$sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°$

5 0

2 years ago

The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length

guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 ) feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² = ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

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

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

So, w = - 3 feet , $\frac{7}{2}$ feet

here we consider only positive value of w i.e $\frac{7}{2}$ feet

∴ The length of rectangle = ( 2 w - 1 ) feet

or, The length of rectangle = 2 × $\frac{7}{2}$ - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0

3 years ago

PLEASE HELP

Ronch [10]

Answer:

ammmmmmmmmmmmm what's the Question?

6 0

3 years ago

Another geometry question for transition math! Please help me!

Nesterboy [21]

Answer:

The measure of <TRU is 72 deg.

Step-by-step explanation:

<QRU is a right angle, so it measures 90 deg.

Since m<QRT = 18 deg, then m<TRU must be 72 deg since 72 + 18 = 90.

Answer: The measure of <TRU is 72 deg.

6 0

3 years ago

Vicente has a prism-like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store, and the store owner

PSYCHO15rus [73]

Answer:

1.25 m

Step-by-step explanation:

Given

Base = 1.2 m²
Height = h
Number of fish = 6
Density = 4 fish/m³

Minimum volume required:

6/4 = 1.5 m³

Lowest water height:

V= bh
h = V/b
h = 1.5/1.2 = 1.25 m

8 0

3 years ago