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lesya692 [45]
3 years ago
13

The ratio of the measures of the angles in a triangle is 2:9:4 what is the measure of the largest angle ?

Mathematics
2 answers:
Anna007 [38]3 years ago
6 0
180 degrees..... szjsisisjaak
FrozenT [24]3 years ago
5 0
You need to add all of these values together. This is 2 + 9 + 4 which gives 15

There are 180° in a triangle. Divide this by 15.

180/15 = 12

Then multiply this by the largest in the ratio; which is 9.

This is 12 x 9 which = 108°.

The largest angle is therefore 108°.

For reference, the ratio in degrees would look like this:

24:108:48, which adds up to 180°.
You might be interested in
The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.
Mice21 [21]
First: Figure out the cost per candy bar currently by dividing 3.22 and 14

3.22 / 14 = 0.23

Second: Add in 0.15 to your total to solve for the prior cost of the candy

0.23+0.15 = $0.38 
6 0
3 years ago
Read 2 more answers
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
Margaret [11]

Answer:

QR = 6.0033

QS = 8.22

RS = 6.0033

QRS is isosceles

Step-by-step explanation:

Given

See attachment for complete question

From the attachment, we have the following parametersQR = \sqrt{(-3-0)^2+(-5.2-0)^2}

QR = \sqrt{9+27.04}

QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}

QS = \sqrt{64+3.53} = \sqrt{67.53

RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}

RS = \sqrt{(25 + 11.04}

Solving further, we have:

QR = \sqrt{9+27.04}

QR = \sqrt{36.04}

QR = 6.0033

QS = \sqrt{64+3.53} = \sqrt{67.53}

QS = 8.22

RS = \sqrt{25 + 11.04}

RS = \sqrt{36.04}

RS = 6.0033

From the calculations;

RS = QR = 6.0033

<em>This means that: QRS is isosceles</em>

8 0
3 years ago
Hello, help me please))
Fed [463]

Answer:

  • 6
  • 9
  • 1/8
  • -10/11

Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

__

<h3>1.</h3>

  \ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}

<h3>2.</h3>

  \ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}

<h3>3.</h3>

  \dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}

<h3>4.</h3>

  \ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}

_____

The applicable rules of logarithms are ...

  • ln(ab) = ln(a) +ln(b)
  • ln(a/b) = ln(a) -ln(b)
  • ln(a^b) = b·ln(a)
  • ln(a) = b  ⇔  a = e^b

Of course, a square root is the same as a 1/2 power.

7 0
2 years ago
The product of 2 and the sum of a number and 8 is equivalent to 16.
Trava [24]

Answer:b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please hurry......
user100 [1]

All multiples of 15 between 0 and 300,inclusive

How?

\\ \sf\longmapsto f(x)=15x

\\ \sf\longmapsto f(0)=15(0)=0

\\ \sf\longmapsto f(20)=15(20)=300

Hence.

\\ \sf\longmapsto 0\leqslant R_f\leqslant 300

8 0
3 years ago
Read 2 more answers
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