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cluponka [151]
3 years ago
13

What is the area of the rectangle?

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

9x^2 25x+14

Step-by-step explanation:

using FOIL:

(x+2)(9x+7)

9x^2 +7x + 18x +14

9x^2 25x+14

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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the
sveticcg [70]
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

 If BP= 6 cm and CP= 5 cm, we have:

 BP/CP = AB/AC

 We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

 1. If AB = 6.9 cm and AC = x:
 6/5 = 6.9/x
 x = (5x6.9)/6
 x = 5.80 cm

 2. If AC= 6.9 cm and AB= x:
 6/5 = x/6.9
 x = 6.9x6/5
 x = 8.30 cm

 Then, the answer is: 
 The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>


6 0
3 years ago
An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment. For this s
slavikrds [6]

Answer: c. ​10

Step-by-step explanation:

Given : An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment.

For this study, the three sample means are, M1 = 1, M2 = 2, and M3 = 3.

Grand mean = \overline{X}=\dfrac{M1+M2+M3}{3} [All sample have equal elements]

=\dfrac{1+2+3}{3}=2

For ANOVA,

SS_{between}=n\sum(M_i-\overline{X})^2 , where i= 1, 2 , 3

SS_{between}=5((1-2)^2+(2-2)^2+((3-2)^2)

SS_{between}=5((-1)^2+(0)^2+((1)^2)= 5(1+1)=10

Hence,the value would be obtained for SS_{between}=10 .

hence, the correct answer = c. ​10

8 0
3 years ago
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
3 years ago
How do you convert 1.024242424 to a fraction
AnnyKZ [126]
The number before the decimal and the first number after the decimal and the last number
4 0
3 years ago
Rationalize the denominators:<br> 4/√x+2
puteri [66]
\dfrac{4}{\sqrt{x}+2}=\dfrac{4}{\sqrt{x}+2}\cdot\dfrac{\sqrt{x}-2}{\sqrt{x}-2}=\dfrac{4(\sqrt{x}-2)}{(\sqrt{x})^2-2^2}=\dfrac{4\sqrt{x}-8}{x-4}\\\\Use:(a+b)(a-b)=a^2-b^2
6 0
3 years ago
Read 2 more answers
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