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Math 1 3/8 1/4 a c= 2 5/8 11/16 a c= 3 4/6 6/9 a c=

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Answer 1

Answer:

Wen can turn both fractions into decimals.

1 1/3 = 1.333...

1/4 = 0.25

As we can see 1 1/3 is greater than 0.25.

Therefore, the answer is [ 1 1/3 > 1/4 ]

Best of Luck!

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I need help on a question but im kinda in a rush

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12√3

1) To find out the Lateral Area of this pyramid we need to calculate the area of those three equilateral triangles.

$\begin{gathered} Lateral_(Area)=3(s^2\frac{\sqrt[]{3}}{4})=3(16\frac{\sqrt[]{3}}{4}) \n L=3\cdot4\sqrt[]{3} \n L=12\sqrt[]{3} \end{gathered}$

2) Hence, the Lateral Area of that pyramid is 12√3 u²

Given tan(theta)= -2 and pi/2 < theta < pi; find cos theta)

Answers

Answer:

$\cos \theta=-(1)/(√(5))$

Step-by-step explanation:

$Given\ \tan \theta=-2\ \ \ \ \ -(\pi)/(2)<\theta<\pi$

Hence $\theta$ is in second quadrant.

$\tan \theta=(opposite)/(adjacent)=-2\n\nLength\ of\ opposite=2,\ \ Length\ of\ adjacent=1\n$

Pythagorean Theorem: $hypotenuse^2=opposite^2+adjacent^2$

$hypotenuse^2=(1)^2+(2)^2=1+4=5\nhypotenuse=√(5)$

$\cos \theta=(adjacent)/(hypotenuse)\n\n\cos \theta=(1)/(√(5))$

But in the second quadrant $\cos \theta$ will be negative.

Hence

$\cos \theta=-(1)/(√(5))$

Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)

Answers

Answer:

5.47% of the total variation between the two variables can be explained by the regression line.

Step-by-step explanation:

Given :

R value = 0.234

The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.

However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².

R² value is Obtained by taking the squared of the correlation Coefficient

Hence,

R² = 0.234² = 0.054756

R² = 0.05476 * 100% = 5.4756%

Hence, R² = 5.48%

This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.

100 POINTS PLEASE HELP ON HW

Answers

Answer:

Solution given:

f(x)=x²

g(x)=x+5

h(x)=4x-6

now

23:

(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25

24:

(gof)(x)=g(f(x))=g(x²)=x²+5

25:

(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36

26:

(hof)(x)=h(f(x))=h(x²)=4x²-6

27;

(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1

28:

(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14

Answer:

the answer is 4x - 4

Step-by-step explanation:

These two trapeziums are similar.Calculate the area of trapezium G.
If your answer is a decimal, give it to 1 d.p.

Answers

Check the picture below.

so let's firstly get the corresponding side of "a".

$\textit{Area of a Trapezoid}\n\n A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\n a,b=\stackrel{parallel~sides}{bases~\hfill }\n[-0.5em] \hrulefill\n h=5\n b=16\n A=70 \end{cases} \implies 70=\cfrac{5(a+16)}{2} \n\n\n 140=5(a+16)\implies \cfrac{140}{5}=a+16\implies 28=a+16\implies 12=a \n\n[-0.35em] ~\dotfill$

$\cfrac{12^2}{30^2}~~ = ~~\cfrac{70}{A}\implies \left( \cfrac{12}{30} \right)^2 =\cfrac{70}{A}\implies \left( \cfrac{2}{5} \right)^2=\cfrac{70}{A}\implies \cfrac{4}{25}=\cfrac{70}{A} \n\n\n 4A=1750\implies A=\cfrac{1750}{4}\implies \boxed{A=437.5~cm^2}$