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Elena-2011 [213]
3 years ago
6

Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

P+m=21

1.5p + 3m < 45

p > 0

m > 0

Step-by-step explanation:

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Which statement is true about the graphs of exponential functions?
Lunna [17]
A) Thé graphs f exponential functions eventually exceed the graphs of linear functions but not quadratic functions.
8 0
3 years ago
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Miranda found out that there are 20 drops in 11 mL of medicine. She measured 15 drops of medicine into a measuring cup. How many
andreyandreev [35.5K]

Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \dfrac{11}{20} mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= 15\times\dfrac{11}{20}

=\dfrac{33}{4}

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

6 0
3 years ago
What are the two answers for x in decimal form? <br> 2x(x + 1.5) = -1
umka2103 [35]

Answer:

x =  - 1 \: and \: x =  - 0.5

Step-by-step explanation:

2x(x + 1.5) =  - 1 \\ 2x {  }^{2}  + 3x + 1 = 0 \\ (x + 1)(2x  + 1) = 0 \\ x =  - 1 \: and \: x =  - 0.5

5 0
3 years ago
Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.
Serhud [2]

Answer:

The area of a rhombus is 18\sqrt{3} square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

\sin \theta=\frac{opposite}{hypotenuse}

\sin (60)=\frac{h}{6}

\frac{\sqrt{3}}{2}=\frac{h}{6}

Multiply both sides by 6.

3\sqrt{3}=h

The height of the rhombus is 3\sqrt{3}.

Area of a rhombus is

Area=base\times height

Area=6\times 3\sqrt{3}

Area=18\sqrt{3}

Therefore, the area of a rhombus is 18\sqrt{3} square units.

8 0
3 years ago
Read 2 more answers
The angle from a stake in the ground to the top of a tree is 60 degrees. If the height of the tree is 40 feet, what is the dista
Nonamiya [84]

Answer:

23.09 ft

Step-by-step explanation:

Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .

From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .

Now since we have base and perpendicular , we should use the ratio of tangent as ,

\rm\longrightarrow tan\theta =\dfrac{perpendicular}{base}=\dfrac{p}{b}

And here \theta = 60° . On substituting the respective values , we have ;

\rm\longrightarrow tan 60^o =\dfrac{40\ ft}{x \  }\\

And the value of tan60° = √3 , so that ;

\rm\longrightarrow \sqrt3 =\dfrac{40\ ft}{x}

Cross multiply ,

\rm\longrightarrow x =\dfrac{40}{\sqrt3}ft.

The value of √3 is 1.732 approximately .

\rm\longrightarrow x =\dfrac{40}{1.732}ft.

Simplify,

\rm\longrightarrow \underline{\underline{\red{{x =23.09\ ft }}}}

And we are done !

4 0
3 years ago
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