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ArbitrLikvidat [17]
3 years ago
6

Dayren is driving ti visit family. She drives at an average of 65 miles per hour. She drives 227.5 miles before lunch and then 9

7.5 miles after lunch. How many hours did she spend driving?
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

5 hours

Step-by-step explanation:

227.5+97.5=325

325/65=5

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The perimeter of this triangle
Olegator [25]

Answer:

Perimeter = 3x+7

Step-by-step explanation:

x + x + (x+7) = (x+x+x) + 7

6 0
3 years ago
Find y.<br> Round to the nearest tenth:<br> 290<br> 500 ft<br> y<br> X<br> y = [ ? ]ft
hjlf

Answer:

  • y = 242.4
  • x = 437.3

First find the inner angle:

  • 90° - 29°
  • 61°

[ given hypotenuse = 500 ft ]

using sine rule:

\sf sin(x)= \dfrac{opposite}{hypotensue}

\hookrightarrow \sf sin(61)= \dfrac{x}{500}

\hookrightarrow \sf x=sin(61)*500

\hookrightarrow \sf x=437.3

using pythagoras theorem:

  • a² + b² = c²
  • y² + (437.3)² = 500²
  • y = √58760.1
  • y = 242.4
8 0
2 years ago
Read 2 more answers
5. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which o
zaharov [31]

Answer:

1300

Step-by-step explanation:

Given that :

Number of sections = 8

Number of seats per section, x ;

150 ≤ x ≤ 200

The possible Number of seats in the auditorium :

Number of seats per section * number of sections

150 * 8 ≤ x ≤ 200 * 8

1200 ≤ x ≤ 1600

The possible Number of seats will lie within 1200 and 1600

From the options, only 1300 lie within this range

4 0
3 years ago
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
uranmaximum [27]

Step-by-step explanation:

Consider LHS

\cos(x)  +  \sin(x)  \tan(x)  =  \sec(x)

Apply quotient identies

\cos(x)  +   \sin(x) \times  \frac{ \sin(x) }{ \cos(x) }  =  \sec(x)

Multiply the fraction and sine.

\cos(x)  +  \frac{ \sin {}^{2} (x) }{ \cos(x) }  =  \sec(x)

Make cos x a fraction with cos x as it denominator.

\cos(x)  \times  \cos(x)  =  \cos {}^{2} (x)

so

\frac{ \cos {}^{2} (x) }{ \cos(x) }  +  \frac{ \sin {}^{2} (x) }{ \cos(x) }  =  \sec(x)

Pythagorean Identity tells us sin squared and cos squared equals 1 so

\frac{1}{ \cos(x) }  =  \sec(x)

Apply reciprocal identity.

\sec(x)  =  \sec(x)

7 0
3 years ago
For the function F (X) = (x - 2)^2 + 4, identify the vertex.
VLD [36.1K]

Answer:

The answer will be D. (2,4)

5 0
2 years ago
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