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Rom4ik [11]
2 years ago
10

What is the area of the triangle in the figure

Mathematics
2 answers:
Nezavi [6.7K]2 years ago
3 0
The first leg is 4, the second leg is 6. Area= 4*6/2 = 24/2= 12
Your answer is 12mm^2
Marina CMI [18]2 years ago
3 0
Logic geometry. Ah, textbooks.

Flip dat triangle!

Turn in onto its base. 

<span>My Geometry teacher used to say, "My students, ahh. Textbooks. They say, 'My pretty little students, here's a formula! I will give you numbers and you plug it in.' Then he would say, 'I don't like textbooks. I'm a rebel! So, I derive the formula.'" He made us derive it. But the formula is this: 1/2 x b x h. Why? The real formula is because two equal triangles are both HALF of a parallelogram, and a parallelogram has formula b x h. So it's 1/2 x b x h.
</span>
With that in mind, let's find the height first. Onwards!!

12 mm. What can we do with it? Oh, we know the rectangle has 8 mm!! 12 mm - 8 mm is 4 mm! The height is 4 mm. Onwards to the base!!

Hey, what do we know? The rectangle has length 10 mm. A part of it is 4 mm!! So, what's 10 mm - 4 mm? 6 mm. We got it!!

Plug in the formula!!

1/2 x 4 x 6 is????????

12.

And don't forget the mm!!
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Watch help
babymother [125]

Answer:

m∠RPQ = 8°

Step-by-step explanation:

m∠QRS = 4x - 15

m∠RPQ = x + 1

m∠PQR = x - 2

m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS

m∠QRS = m∠RPQ + m∠PQR      {Exterior angle property of triangle}

4x - 15 = x +1 + x - 2

4x - 15 = x + x + 1-2          {Combine like terms}

4x - 15 = 2x - 1        {Subtract 2x from both sides}

4x - 2x - 15 = - 1

2x - 15 = - 1                  {Add 15 to both sides}

2x = -1 + 15

2x = 14          {Divide both sides by 2}

x = 14/2

x = 7

m∠RPQ = x + 1 = 7 + 1 = 8°

4 0
3 years ago
Read 2 more answers
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea
Vsevolod [243]

~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}

A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill

4 0
2 years ago
Which expression represents the shaded length of the number line below? Choose 1 answer: Choose 1 answer: (Choice A) A 34×32\dfr
Anit [1.1K]

Answer:

Expression = \frac{2}{3} * \frac{5}{4}

Step-by-step explanation:

<em>See attachment for number line</em>

From the attachment, we have the following details:

The first shade of blue covered 10 blocks

The second shade of blue covered 5 further blocks which totaled to 15

So, the fraction of the blue blocks is:

Blue = \frac{10}{15}

Divide fraction by 5/5

Blue = \frac{10/5}{15/5}

Blue = \frac{2}{3}

Also from the attachment:

The shaded block stopped at the fraction:

Shaded = \frac{5}{4}

So, the expression that represents this scenario is:

Expression = Blue * Shaded

Expression = \frac{2}{3} * \frac{5}{4}

<em>Option (c) answers the question</em>

8 0
3 years ago
Can someone please answer this im stuck
Nastasia [14]
I think its A not sure though
5 0
2 years ago
Read 2 more answers
Last year there were two hundred and forty seven thousand, three hundred and seventy two weddings in the UK.
kotykmax [81]

Answer:

47,372

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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