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Alex_Xolod [135]

3 years ago

11

For line graphs and bar graphs, the values measured by the vertical axis

2 answers:

mestny [16]3 years ago

5 0

Answer:

Horizontal

Step-by-step explanation:

ZanzabumX [31]3 years ago

4 0

Answer:

horizontal axis

Step-by-step explanation:

its a chart measured by x and y.

x meaning side to side and y meaning up or down.

and in any equation x makes y or usually y is defined by x.

Example: y = mx + b

so y = vertical and x = horizontal

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

$A=\sqrt{s(s-a)(s-b)(s-c)}$ , where $a$ , $b$ , and $c$ are three sides of the triangle and $s$ is the semi-perimeter ( $s=\frac{a+b+c}{2}$ ).

The semi-perimeter, $s$ , is:

$s=\frac{5+5+4}{2}=\frac{14}{2}=7$

Therefore, the area of the isosceles triangle is:

$A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}$

Thus, the area of the quadrilateral is:

$6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}$

4 0

3 years ago

WHAT'S THE ERROR? A student says 3(n- 5) is equal to 3n - 5. What's<br>the error?

inn [45]

Answer:

The student incorrectly used the Distributive property!

Step-by-step explanation:

The Distributive property says a(b+c)=ab+ac

In this problem the answer SHOULD be 3n-15, however the <u>student forgot to distribute the 3 to the -5</u>!

8 0

3 years ago

Read 2 more answers

What do you know to be true about the values of p and q?

Harrizon [31]

The thing that's true about the values p and q is that p = q.

The total <em>sum of the angles</em> in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

p = 80°

From the second triangle, the value of q will be:

55° + 45° + q = 180°

100° + q = 180°

q = 180° - 100°

q = 80°

Therefore, p = q.

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7 0

2 years ago

A company that manufactures car seats completes quality control tests per government regulations. The quality

solmaris [256]

Answer: It is D.

The population is 100% of the car seats and the sample is 20% of the car seats.

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6 0

3 years ago

A chicken weighs pounds and needs to be cooked 20 minutes per pound plus an extra 15 minutes used expression 20+15 to find how l

Svetach [21]

Answer:

20m

Step-by-step explanation:

7 0

3 years ago