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Stells [14]
2 years ago
12

quadrilateral ABCD is similar to quadrilateral EFGH find the measure of side EF round your answer to the nearest tenth if necess

ary

Mathematics
1 answer:
alisha [4.7K]2 years ago
4 0

Answer:

EF = 2.9

Step-by-step explanation:

The geometric figures are similar so we can use the similarity ratio to calculate the length of EF:

GF/ CB = EF/AB

5/29 = EF/17 cross multiply expressions

29EF = 85 divide both sides by 29

EF = 2.9 approximately

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw
GrogVix [38]

Answer:

1/15

Step-by-step explanation:

1/5+3+2        all of the marbles

2/10              odds of drawing an orange marble(bc 2 orange marble)

3/9                 because to get 3 green and 1 marble is removed and 9 is total          marbles left

2/10*3/9=1/15  muliply  odds because 2 draws of marbles    

6 0
3 years ago
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which ineq
vredina [299]

Answer:

0.41<3.40/x<0.50

Step-by-step explanation:

Given that the cost of one pound of bananas is greater than $0.41 and less than $0.50. That is,

If the cost of one banana is P, then, the inequality will be

0.41 < P < 0.50

Sarah pays $3.40 for x pounds of bananas. The inequality that represents the range of possible pounds purchased will be achieved by below

3.40/0.41 = 8.29

3.40/0.50 = 6.8

Therefore, the inequality that represents the range of possible pounds purchased is

6 < x < 9 this is the same as 0.41<3.40/x<0.50

6 0
3 years ago
What is the surface area of the figure shown? Plz answer asap
Luba_88 [7]

Answer:

264\ cm^{2}

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

LA=(4)(6)(6)=144\ cm^{2}

step 3

Find the area of the base of the rectangular prism

B=(6)(6)=36\ cm^{2}

step 4

Find the surface area

84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}

3 0
3 years ago
Help with this one please 20 points brain lest and a thanks on your page honestly just giving points away
Kitty [74]
The answer is C.

It has a negative slope (-40) and a y-intercept at 200.
3 0
3 years ago
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