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Varvara68 [4.7K]
3 years ago
5

Landen spent LL hours at the beach last weekend. Matéo spent 15\%15% fewer hours at the beach than Landen did.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer: B, D, and E

0.85L

or

L-0.15L

or

L(1-0.15)

or

L - \frac{15}{100}L

L - \frac{3}{20}L

Step-by-step explanation:

L is the number of hours Landen spent at the beach. Mateo spent 15% less time. This means he spent 85% of it. So 0.85 times L. We can also calculate it by subtracting the difference between the two kids. - 15%. 15% is 0.15L or \frac{15}{100}L. We subtract by L-0.15L or as L - \frac{15}{100}L. This fraction can simplify to L - \frac{3}{20}L

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A quantity p varies jointly with r and s. Which expression represents the constant of variation, k?
Zina [86]

The correct answer is p/rs.

In order to find this first state the direct variation with the constant k included.

p = krs

Now to find the value of k, we simply divide away the r and s

p/rs = k

3 0
3 years ago
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What is the length of the hypotenuse of the triangle when x=13
ValentinkaMS [17]

Answer:

90.80

Step-by-step explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

7 0
2 years ago
Please help me I’ve been stuck for 30mins
kotegsom [21]
The answer is B because on the graph you start at $3.00 then you add $5.00 per hour so it goes up 5/1 per hour on the graph.
3 0
3 years ago
Maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table bel
raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

f(x)=-6x-21


This function is of the form y=mx+b, where m=-6 is the slope and b=-21 is the y-intercept.


We can also determine the slope of the function in the table using any two points, say (0,7)\:and\:(2,6).


The slope formula is given by,

m=\frac{y_2-y_1}{x_2-x_1}.


If (x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6), then,

m=\frac{6-7}{2-0}


m=-\frac{1}{2}.


We can see that both functions have a negative slope.


The correct answer is B.




8 0
3 years ago
SOMEONE PLEASE HELP ME! I have a few of the explanations but I'm not sure if I need more please suggest some thank you
lesantik [10]

Answer:

For tingle #1

We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.

C=180-(A+B)

C=180-(21.24+27.14)

C=131.62

We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.  

For triangle #2

In this one, we can find everything and there is one one value for each.

- We can find side c

Since we have a right triangle, we can find side c using the Pythagorean theorem

b^2=a^2+c^2

4^2=2^2+c^2

16=4+c^2

12=c^2

c=\sqrt{12}

c=2\sqrt{3}

- We can find angle C using the cosine trig identity

cos(C)=\frac{adjacent}{hypotenuse}

cos(C)=\frac{2}{4}

C=arccos(\frac{2}{4} )

C=60

- Now we can find angle A using the triangle sum theorem

A=180-(B+C)

A=180-(90+60)

A=30

For triangle #3

Again, we can find everything and there is one one value for each.

- We can find angle A using the triangle sum theorem

A=180-(B+C)

A=180-(90+34.88)

A=55.12

- We can find side a using the tangent trig identity

tan(C)=\frac{opposite-side}{adjacent-side}

tan(34.88)=\frac{7}{a}

a=\frac{7}{tan(34.88)}

a=10.04

- Now we can find side b using the Pythagorean theorem

b^2=a^2+c^2

b^2=10.04^2+7^2

b^2=149.8

b=\sqrt{149.8}

5 0
3 years ago
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