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Aleks [24]
3 years ago
12

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an a

rea 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0

Answer:

base = 3x - 1

height = x

area of triangle = (1/2)bh

22 = (1/2)(3x-1)(x)

44 = (3x-1)(x)

44 = 3x^2-x

0 = 3x^2-x-44

0 = 3x^2-12x+11x-44

0 = (3x^2-12x)+(11x-44)

0 = 3x(x-4)+11(x-4)

0 = (x-4)(3x+11)

x = {-11/3, 4}

throw out the negative solution (extraneous) leaving

x = 4 m (height)

.

Base:

3x - 1 = 3(4) - 1 = 12 - 1 = 11 

Step-by-step explanation:

I hope it will help you

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Hey there!

You got the first part right where you added r to both sides. However, you need to make sure that you complete all actions on both sides, including canceling out parts of terms by division. The only thing you need to do is divide both sides by h instead of just the left. This will make your answer:

y =  \frac{b+r}{h}

Hope this helped you out! :-)
4 0
3 years ago
Can some one please help me with this problem?
Lady bird [3.3K]
6a+2s=x (total amount of money)
6 (90)+2 (50)= x
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hope that helps!
6 0
3 years ago
Read 2 more answers
The two scalene triangles seen below are similar figures. What is the scale factor from the small scalene triangle on the left t
aliina [53]

Answer:

scale factor= 4.7

Step-by-step explanation:

47/10= 4.7

32.9/7= 4.7

28.2/6= 4.7

To figure out the scale factor for the smallest to the largest triangle, divide the larger number by the smaller number (of the same side).

If you wanted to get the scale factor of the largest to smallest triangle, you would just do the opposite.

ex. 10/47, 7/32.9...

6 0
3 years ago
I WILL AWARD BRAINLIEST!!
AnnZ [28]

Answer:

Can not be determined (CNBD)

Step-by-step explanation:

In the given triangle ACI,

M is the mid point of CI, So we have

CM= MI

also AM=AM   ( reflexive property )

So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM

To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem

we should have AC =AI , but it is not given,so we can not say that AC=AI

To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem

we should have ∠AMC=∠AMI, but it is not given,so we can not say that  ∠AMC=∠AMI

We can not determine that ΔCAM is congruent to which triangle

Hence the answer is Can not be determined (CNBD)


5 0
3 years ago
Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?
Liono4ka [1.6K]

Answer:

Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation:

Sarkis cannot draw a triangle with these side lengths.

5 0
2 years ago
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