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3 years ago

Engineers at an amusement park design a roller coaster that for every

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

Answer:

No sé la respuesta, pero traduce esto: D

Step-by-step explanation:

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How would I solve this

irinina [24]

Answer:

570 mph
610 mph

Step-by-step explanation:

Let x represent the speed of the slower plane. The faster plane's speed is then x+40. The sum of speeds is ...

x + (x+40) = 1180

2x = 1140 . . . . subtract 40

x = 570 . . . . . .divide by 2

x+40 = 610 . . . . the speed of the faster plane

The two speeds are 570 mph and 610 mph.

7 0

3 years ago

What is the area of ABC?

notsponge [240]

Let D be the Intersection of Height of the Triangle and Base of the Triangle BC

From the Figure, We can notice that Triangle ADB is a Right angled Triangle.

We know that, In a Right angled Triangle :

$\bigstar$ (Hypotenuse)² = (First Leg)² + (Second leg)²

In Triangle, ADB : AB is the Hypotenuse, AD is the First leg and BD is the Second leg

Given : AB = 15 and BD = 9

Substituting the values, We get :

$:\implies$ (15)² = (AD)² + (9)²

$:\implies$ 225 = (AD)² + 81

$:\implies$ (AD)² = 225 - 81

$:\implies$ (AD)² = 144

$:\implies$ (AD)² = (12)²

$:\implies$ AD = 12

We know that, In a Right angled Triangle :

$\bigstar\;\;\boxed{\mathsf{Tan\theta = \dfrac{Opposite\;Side}{Adjacent\;Side}}}$

Now, Consider Triangle ADC : With respect to 45° Angle, AD is the Opposite Side and DC is the Adjacent Side

$:\implies \mathsf{In\;Triangle\;ADC,\;Tan45^{\circ} = \dfrac{AD}{DC}}$

$\mathsf{:\implies 1 = \dfrac{12}{DC}}$

$:\implies$ DC = 12

$:\implies$ Total Length of the Base (BC) = BD + DC

$:\implies$ Total Length of the Base (BC) = 9 + 12

$:\implies$ Total Length of the Base (BC) = 21

We know that, Area of the Triangle is given by :

$\bigstar\;\;\boxed{\mathsf{Area = \dfrac{1}{2} \times Base \times Height}}$

In Triangle, ABC : AD is the Height and BC is the Base

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times BC \times AD}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times 21 \times 12}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = (21 \times 6)}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = 126}$

7 0

3 years ago

6. The students at Fairview Middle School took a test on Arkansas history. Two of the

melomori [17]

Answer:

D, 0.99 of students got a perfect score

Step-by-step explanation:

2/215*100

6 0

3 years ago

To solve the inequality 2x − 1 > 1, Hal multiplied both sides by x + 8 x+8

maksim [4K]

Answer:yes. It i s correct

Step-by-step explanation:

8 0

4 years ago

What is the leading coefficient of the polynomial?<br> 7x + 5x²9x³ - 10

horsena [70]

Answer: Leading Coefficient: 45

Step-by-step explanation:

7x + 5x²9x³ - 10=

7x+5*9*x²*x³-10=

7x+45 $x^{2+3}$ -10=

7x+45x^5-10=

45x^5+7x-10 ==> Leading Coefficient: 45

4 0

2 years ago