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NikAS [45]
3 years ago
10

NEED HELP WITH A MATH QUESTION

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

\dfrac{18}{5}

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

\dfrac{18}{5}

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2. Sheldon was doing a science experiment about temperature. He first measured the
Burka [1]

Answer:

Temperature dropped by 28°C in two hours

Step-by-step explanation:

<u>Initial measurement:</u>

  • t = 17°C

<u>Measurement 2 hours later:</u>

  • t = - 11°C

<u>The difference:</u>

  • -11°C - 17°C = -28°C

Temperature dropped by 28°C in two hours

7 0
3 years ago
What is u = kx + ух, for x
Ivahew [28]

Answer:

<h2>x=  \frac{u}{k + y}</h2>

Step-by-step explanation:

u = kx + ух

First of all factorize x out at the right side of the equation

That's

u = x(k + y)

Divide both sides by ( k + y) to make x stand alone

That's

<h3>\frac{x(k + y)}{k + y}  =  \frac{u}{k + y}</h3>

We have the final answer as

<h3>x =  \frac{u}{k + y}</h3>

Hope this helps you

6 0
3 years ago
Please solve this question fast.
Alexxandr [17]

Answer:

See Explanation

Step-by-step explanation:

{a} =  {6}^{x},  \:  \: b = {6}^{y}  ...(given) \\  {a}^{y}. {b}^{x}  = 36..(1) \\ pluggig \: the \: values \: of \: a \: and \: b \: in \: (1) \\  ({6}^{x}) ^{y} . ({6}^{y}) ^{x} =  {6}^{2}  \\ {6}^{xy}.{6}^{xy} =  {6}^{2}  \\  {6}^{xy + xy}  =  {6}^{2}  \\  {6}^{2xy}  =  {6}^{2}  \\ bases \: are \: equal \: so \: exponentes \: will \: also \: be\\ \: equal \\  \therefore \: 2xy = 2 \\ xy =  \frac{2}{2}  \\ \huge \red { \boxed{ xy = 1}} \\ hence \: proved \\

3 0
3 years ago
A gallon of orange juice costs $5.50 per gallon. What is the cost per cup of orange juice? What is the cost per fluid ounce of o
I am Lyosha [343]

Answer:

27.5

Step-by-step explanation:

5x5.50=27.5

5 0
3 years ago
A line segment has endpoints at (2,10) and (10,2). What are the coordinates of the midpoint of the line segment?
IrinaVladis [17]

Answer:

(6,6)

Step-by-step explanation:

The midpoint formula is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ). Substitute (2,10) and (10,2) into this formula and simplify.

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) \\(\frac{2+10}{2},\frac{10+2}{2} ) \\(\frac{12}{2},\frac{12}{2} ) \\(6,6)

8 0
4 years ago
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