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3 years ago

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Mandy has a piece of ribbon measuring 3.2 meters, and Cheryl has a piece of ribbon measuring 4.7 meters. Select the points on th

is number line that represent the ribbon lengths.

2 answers:

ss7ja [257]3 years ago

3 0

Answer:

15.4

Step-by-step explanation:

Arlecino [84]3 years ago

3 0

Answer:

Step-by-step explanation:

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

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3 years ago

A linear function, f, has an x-intercept at (5,0) and a y-intercept at (0,3). Which best describes the shape of the graph of thi

svet-max [94.6K]

<span>As x approaches positive infinity, f(x) approaches negative infinity, since the graph goes down</span>

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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

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3 years ago

Write each expression without the absolute value symbol |3x+12|

klasskru [66]

Answer:

Step-by-step explanation:

|3x+12|

one is as it is one is the negative value of it

3x + 12 - (3x + 12)

- 3x - 12

That is because both negative and positive values put in am absolute value become positive.

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2 years ago

144 8e bölersem sonuç kaç olur?

eduard

Answer:

18

Step-by-step explanation:

3 0

3 years ago