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Ira Lisetskai [31]
2 years ago
6

The base of a triangle is 18 cm and its height is 7w-1 cm. Find the expression for the triangles area

Mathematics
1 answer:
vampirchik [111]2 years ago
8 0

Answer:

Area = 9(7w -1) cm²

Step-by-step explanation:

Area of a triangle is given by the expression,

Area = \frac{1}{2}(\text{Base})(\text{height})

From the picture attached,

Base of the triangle = 18 cm

Height of the triangle = Vertical distance of the third vertex from the base joining other two vertices = (7w - 1)

Area = \frac{1}{2}(18)(7w-1)

        = 9(7w - 1) square cm

Therefore, expression for the area of the given triangle will be,

Area = 9(7w -1) cm²

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You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m
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2 years ago
Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.
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Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

\frac{WX}{WA} =\frac{2WA}{WA} = 2  (since A is the midpoint of WX)

\frac{WV}{WY} =\frac{2WY}{WY} = 2  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY} = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

 

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

 

5 0
2 years ago
How do u do this? I have a quiz tomorrow and this is so confusing. Any easier ways to do it?
ehidna [41]

Answer:

sure there is

Step-by-step explanation:

SSS means side side side so if 3 of the sides on each triangle are the same then its congruent Any time you see an A it stands for angle so you only have to learn the leters and then everything else is pretty straight forward

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Which situation can be modeled by a linear function?
horrorfan [7]
Number 1 The population of bacteria triples every day.
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A water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 20 ​ft, approximate the volume of the t
otez555 [7]

Answer:

The approximate volume of the tank is V=16,747\ ft^{3}

Step-by-step explanation:

we know that

The volume of a hemisphere (water storage tank) is equal to

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we have

r=20\ ft

assume

\pi =3.14

substitute

V=\frac{4}{6}(3.14)(20)^{3}

V=16,747\ ft^{3}

7 0
3 years ago
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