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3 years ago

Jessica recorded these temperatures in one day:

Mathematics

2 answers:

vredina [299]3 years ago

4 0

<span>A:
The morning temperature was 6 degrees above the afternoon temperature.</span>

Liono4ka [1.6K]3 years ago

3 0

Answer:

1.The morning temperature was 6 degrees above the afternoon temperature.

Step-by-step explanation:

Given,

Morning temperature: +6°F

Afternoon temperature: 0°F

Night temperature: −2°F

∵ 6 > 0 > -2

i.e., Morning temp > Afternoon temp > Night temp

The difference between morning temp and afternoon temperature = 6° - 0° = 6°

Thus, morning temperature was 6 degrees above the afternoon temperature.

The difference between afternoon temp and night temp = 0° - (-2°)

= 2°

Thus, afternoon temperature was 2 degrees above the night temperature.

The difference between morning temp and night temp = 6° - (-2°)

= 8°

Thus, morning temperature was 8 degrees above the night temperature.

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((x-h)^2)+((y-k)^2)

Schach [20]

Answer:

Step-by-step explanation:

= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk) As, (a-b)^2 = a^2 + b^2 - 2ab

= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk

5 0

3 years ago

The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb

Zigmanuir [339]

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

4 0

2 years ago

Can you help me please

igor_vitrenko [27]

Answer:

Step-by-step explanation:

ΔA = 90° - 31°

= 59°

sin A = perpendicular ÷ base

sin 59° = 400 ft ÷ y

1.6643 = 400 ft ÷ y

y = 400 ÷ 1.6643

y = 240.34 ft

<h2>MARK ME AS BRAINLIST</h2>

7 0

2 years ago

a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent line? b. For what values of x does f (x )

laila [671]

Answer:

(a)Therefore the value of x= $\pi$

(b) Therefore the value of x $=\frac{\pi}{2}$

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

$f(x)= 3x+3sin x$

Differential with respect to x

$f'(x)=3+3cos x$

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° $=\pi$

Therefore the value of x= $\pi$

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° $=\frac{\pi}{2}$

Therefore the value of x $=\frac{\pi}{2}$

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