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3 years ago

Explain why k = 10 is the constant of proportionality for this table. i need help

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Answer:

the constant ratio is 10 , it stayed the same. this would be a straight line, which makes it proportional.

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Can somebody plz help?e

yawa3891 [41]

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the <u>Trigonometric Ratios</u>

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

$cos(72)=\frac{6.6}{x}$

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have $xcos(72)=6.6$

Step 2 divide each side by cos(72)

$\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\$

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

7 0

3 years ago

64 fl oz = _ c<br> Plz answer

vaieri [72.5K]

8oz= 1 cup
So 64oz= 8 cups

3 0

3 years ago

Write an expression using an expoent that is equivalent to 9x9x9x9x9x9x9.

dexar [7]

Answer:

try nine to the seventh power

Step-by-step explanation:

tell me if it works

4 0

3 years ago

This star is made up of 4 equilateral triangles of equal area and a square.

pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = $9\,\, cm^2$

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = $9\,\, cm^2$

Area of square = $(side)^2$

$(side)^2=9\\side=3\,\,cm$

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0

4 years ago

Express (x+5)² as a trinomial in standard form

dolphi86 [110]

Answer:

Step-by-step explanation:

(x+5)² = x² + 10x + 25

5 0

3 years ago