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3 years ago

An angle measures 27.8° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics

2 answers:

Komok [63]3 years ago

7 0

The smallest angle is 31.1 and the larger angle is 58.9

Neporo4naja [7]3 years ago

4 0

Kkkkkkkkkkkkkkkkkkk‍♂️

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Solve using the Pythagorean identity<br>

Lynna [10]

<h3> $\bold{Sin\theta_{1}=-\frac{4}{5}}$ </h3>

Answer:

Solution given

Cos $\displaystyle \theta_{1}=\frac{3}{5}$

consider Pythagorean theorem

$\bold{Sin²\theta+Cos²\theta=1}$

Subtracting $Cos²\theta$ both side

$\displaystyle Sin²\theta=1-Cos²\theta$

doing square root on both side we get

$Sin\theta=\sqrt{1-Cos²\theta}$

Similarly

$Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}$

Substituting value of $Cos\theta_{1}$

we get

$Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}$

<h3>Solving numerical</h3>

$Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}$

$Sin\theta_{1}=\sqrt{\frac{16}{225}}$

$Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}$

$Sin\theta_{1}=\frac{4}{5}$

Since

In IVquadrant sin angle is negative

$\bold{Sin\theta_{1}=-\frac{4}{5}}$

7 0

2 years ago

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What is the measure of ∠ABC

astraxan [27]

Answer:

Step-by-step explanation:

The measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

∠ ABC = 0.5( 82 + 44)° = 0.5 × 126° = 63° → B

4 0

3 years ago

i need to subtract decimals. i have the answers I just need the work. problems 3.12- 2.52, 3.6-1.8 and 4.1 - 27. thank you

Snowcat [4.5K]

A way you can show work is just not use the commas then subtract then put the commas in when you're done. And, if the bigger number isn't as big or has as many numbers behind the decimal as the first one, add a zero at the end.

7 0

3 years ago

Need help please assist me find the area of a regular hexagon

garri49 [273]

Answer:

The area of the regular hexagon is $166.3\ units^{2}$

Step-by-step explanation:

we know that

The area of a regular hexagon can be divided into 6 equilateral triangles

step 1

Find the area of one equilateral triangle

$A=\frac{1}{2}(b)(h)$

we have

$b=r=8\ units$

$h=4\sqrt{3}\ units$ ----> is the apothem

substitute

$A=\frac{1}{2}(8)(4\sqrt{3})$

$A=16\sqrt{3}\ units^{2}$

step 2

Find the area of 6 equilateral triangles

$A=(6)16\sqrt{3}=96\sqrt{3}=166.3\ units^{2}$

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3 years ago

Select the three ratios that represent the number of red cars to blue cars.

Lorico [155]

Three ratios that represent the number of red cars to blue cars are

2 : 3

6 : 9

8 : 12

$\texttt{ }$

<h3>Further explanation</h3>

<u>Given:</u>

Number of Red Cars = 4

Number of Blue Cars = 6

<u>Asked:</u>

Ratio = ?

<u>Solution:</u>

<em>Number of Red Cars = R</em>

<em>Number of Blue Cars = B</em>

The ratio that represent the number of red cars to blue cars is :

$R : B = 4 : 6$

We can find other ratio by dividing or multiplying the above comparison with the same number :

$R : B = (4/2) : (6/2) = 2 : 3$

$R : B = (4 \times 2) : (6 \times 2) = 8 : 12$

$R : B = (4 \times \frac{3}{2}) : (6 \times \frac{3}{2}) = 6 : 9$

$\texttt{ }$

<h3>Conclusion:</h3>

Three ratios that represent the number of red cars to blue cars are:

2 : 3

6 : 9

8 : 12

$\texttt{ }$

<h3>Learn more</h3>

The LCM and HCF : brainly.com/question/420337
A car’s service book : brainly.com/question/422755
Verify that HCF × LCM = product of two numbers : brainly.com/question/10942748

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Ratio

Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns

4 0

3 years ago

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