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neonofarm [45]
4 years ago
13

The "normal" high temperature for a June day in Albemarle is $82^\circ$ (degrees Fahrenheit). Last year, the first ten days of J

une were unusually hot, with highs of $84^\circ,$ $88^\circ,$ $91^\circ,$ $92^\circ,$ $96^\circ,$ $94^\circ,$ $89^\circ,$ $78^\circ,$ $87^\circ,$ and $81^\circ$. How many degrees above normal was the average high for that 10-day period?
Mathematics
1 answer:
crimeas [40]4 years ago
8 0

Answer:

6° F

Step-by-step explanation:

To get average of 10 days highs, we need to add all and divide by 10.

Average = \frac{84+88+91+92+96+94+89+78+87+81}{10}\\=\frac{880}{10}\\=88

And, the normal high temp is given as 82.

<em>How much higher is 88 than 82??</em>

<em />

It is 88 - 82 = 6°F above

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2. Let A, B and c be three towers. The bearing of B from A is 120° and angle BC is 68º. The distance from Tower A to Tower B is
g100num [7]

(i) The bearing of B from A and angle x are supplementary, then:

\begin{gathered} 120\degree+x=180\degree \\ x=180\degree-120\degree \\ x=60\degree \end{gathered}

(ii)

From the above diagram, the bearing angle of A from B is:

120\degree+180\degree=300\degree

(iii)

From the above diagram, the bearing angle of C from B is:

180\degree+52\degree=232\degree

(iv)

Applying the law of cosines with the sides AB = 145m and CB = 240 m, and the angle ABC = 68°, the distance AC is:

\begin{gathered} AC^2=AB^2+CB^2-2\cdot AB\cdot CB\cdot cos\left(\angle ABC\right) \\ AC^2=145^2+240^2-2\cdot145\cdot240\cdot cos(68\degree) \\ AC^2=21025+57600-69600\cdot cos(68\operatorname{\degree}) \\ AC^2=52552.3811 \\ AC=\sqrt{52552.3811} \\ AC\approx229\text{ m} \end{gathered}

6 0
1 year ago
Write the equation of a circle with endpoints of the diameter are (-8, 1) and (4,5)
STatiana [176]

centre of the circle =Midpoint of the diameter

centre of the circle=

( \frac{ - 8 + 4}{2}  , \frac{5 + 1}{2} ) = ( - 2 ,3)

radius of the circle=

\sqrt{(4 - ( - 2) ^{2} + (5 - 3 )^{2} }    =  \sqrt{36 + 4}  =  \sqrt{40 } = 2 \sqrt{10}

equation of the circle: (x+2)²+(y-3)² = 40

ie.. x²+4x+4+ y²- 6y+ 9=40

ie... x²+y²+4x-6y-27=0

this is the answer......

4 0
3 years ago
Help me now asap!!!!!!!!!!!!!!!!!
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Answer:

C

Step-by-step explanation:

In the rest of the choices the vertical lines intersects the graph in more than one point. C is the only one that the vertical line intersect in one point

6 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 61°, a = 17, b = 19
Sunny_sXe [5.5K]
Okay I tried to work it without a picture of the triangle BUT
the answer should be <span>sinB = 0.97752</span>
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3 years ago
The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current pri
Butoxors [25]

Answer:

5.25

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15% × 35 =

(15 ÷ 100) × 35 =

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5.25

6 0
3 years ago
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