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3 years ago

Suppose 3 students changed their answers to reading instead of doing homework. Where would the bar for reading end?

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

3 0

It would become a larger bar that is all I can do without the graph

balu736 [363]3 years ago

3 0

There would be an equal number of students who chose math and who chose science.
or there would be a larger graph

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A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

dmitriy555 [2]

A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b

10b = 30√2; b = 3√2

sin α = 3√2 / 6; α = 45 degrees

Small angle: 45°; Large angle: 135°

4 0

3 years ago

Distance between (-10,9) and (-5,2)

jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

$\sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} }$

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

$= \sqrt{ {(9 - 2)}^{2} + {( - 10 + 5)}^{2} } \\ = \sqrt{ {7}^{2} + ( - 5)^{2} } \\ = \sqrt{74} \\ = 8.60 \: units \: (3 \: s.f.)$

8 0

3 years ago

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Scilla [17]

Set each factor equal to zero and solve.
x + 6 = 0 x - 3 = 0
x = - 6 x = 3

7 0

3 years ago

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

3 0

3 years ago

85% of what number is 34?

mote1985 [20]

34/85%=34/0.85=40
So that's your answer.

3 0

3 years ago

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