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2 years ago

Please help with this

Mathematics

1 answer:

babunello [35]2 years ago

6 0

Answer: Circle lines

Step-by-step explanation:

Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)

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At a cafe

natta225 [31]

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

6 0

3 years ago

Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long

Verdich [7]

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints $2.5 ft^{2}$ in 2 minutes

He will paint $115 ft^{2}$ in $x$ minutes

By cross multiplying, we have $x= \frac{2 \times 115}{2.5}=92 minutes$

Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

3 0

3 years ago

Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = Select the solution(s) of the original equation.

bezimeni [28]

Answer:

$\dfrac{-5-\sqrt{21}}{2},\ \dfrac{-5+\sqrt{21}}{2}$

Step-by-step explanation:

For the equation $(x+4)^2-3(x+4)-3=0$ use the substitution $u=x+4.$ Then the equation will take look

$u^2-3u-3=0.$

Solve this quadratic equation:

$D=(-3)^2-4\cdot 1\cdot (-3)=9+12=21,\\ \\u_{1,2}=\dfrac{-(-3)\pm \sqrt{21}}{2}=\dfrac{3\pm\sqrt{21}}{2}.$

Thus,

$x+4=\dfrac{3-\sqrt{21}}{2}\text{ or }x+4=\dfrac{3+\sqrt{21}}{2},\\ \\x_1=\dfrac{3-\sqrt{21}}{2}-4=\dfrac{-5-\sqrt{21}}{2}\text{ or }x_2=\dfrac{3+\sqrt{21}}{2}-4=\dfrac{-5+\sqrt{21}}{2}.$

8 0

3 years ago

Read 2 more answers

Principal root of 144

Alex Ar [27]

√144 = √12^2 = 12

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6 0

3 years ago

Read 2 more answers

For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3

Readme [11.4K]

For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x and 2 for y and solve for k

y = kx

2 = k(3)

Divide both sides by 3

$\frac{2}{3} =k$

Now we plug in 2/3 for k

$y=\frac{2}{3}x$

Given x=-0.5 and find out y

$y=\frac{2}{3}(-0.5)$

y=-0.33

the value of y is -0.33 when x=-0.5

4 0

3 years ago