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3 years ago

Which of the following inequalities matches the graph?

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

Answer: D x > 2
Vertical lines are x
Horizontal lines are y

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Vertex of the following quadratic function Y=3(x-5)^2+6

hoa [83]

Answer:

The vertex of the function is (5,6).

Step-by-step explanation:

The equation is already written in vertex form. Given a quadratic function with a vertex of (h,k), the equation for the graph is y=a(x-h)^2+k.

We can extract h and k from the provided equation and get the point (5,6)

7 0

3 years ago

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Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read?

Troyanec [42]

Answer:

144 pages read

Step-by-step explanation:

80% = 0.8

0.8 * 180 = 144

7 0

4 years ago

Isa's calculator displays a number as 7.3579 E8. What is this number in standard form? Enter your answer in the box.

Korolek [52]

When the calculator displays 7.3579 E8. it represents the number
7.3579 x 10⁸ in standard form.

Answer: 7.3579 x 10⁸.

7 0

3 years ago

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

A total of 20 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars were mi

tigry1 [53]

Answer:

14 minivans

Step-by-step explanation:

From the question

A total of 20 families participate in a car wash. Each family brings two cars.

Hence, the total number of cars brought to the car wash is:

20 × 2

= 40 cars.

Mr. Gonzales notices that 35% of the cars were minivans.

The number of minivans were washed is :

35% of the total number of cars

= 35/100 × 40

= 14 minivans

Hence, 14 minivans were washed

Step-by-step explanation:

5 0

3 years ago

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