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3 years ago

Can someone answer this for me

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

Step-by-step explanation:

6x^2 - x + 3 - 5x^2 - 10x + 1

x^2 - 11x + 4

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Li walks at a constant rate of 7 ft. in 4 seconds. The table shows the relationship of feet to seconds. What is the constant of

Kisachek [45]

Answer:

The rate is 1.75 feet/seconds or 105 feet/minute.

Step-by-step explanation:

Given that,

Li walks at a constant rate of 7 feet in 4 seconds

To find the constant of proportionality, divide 7 feet by 4 seconds.

So,

$k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}$

1.75 ft/s is the constant of proportionality

We know that, 1 minute = 60 seconds

k = 105 feet/minute

So, the rate is 1.75 feet/seconds or 105 feet/minute.

4 0

3 years ago

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

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Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

4 0

4 years ago

To be eligible for a basketball tournament, a basketball team must win at least 60% of its remaining games. If the team has 21 g

Slav-nsk [51]

IT IS 13 BECAUSE 60 PERCENT OF 20 IS 13

8 0

3 years ago

Find w + y in the following figure.

9966 [12]

Answer:

x=180-120=60

y=180-80=100

w=360-120-80-60=100

5 0

3 years ago

24,30,42 greatest common factor

elena-s [515]

6 is the greatest common factor of 24,30,42

6 0

3 years ago

Can someone answer this for me​

Can someone answer this for me