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3 years ago

Exercise 23

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

2511

Step-by-step explanation:

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The weight of a meteorite A is 7 times the weight of meterorite B. the sum of both is 176

PIT_PIT [208]

Answer:

B= 22, A=154

Step-by-step explanation:

our equation is 7B+B=176, when you solve that you get B=22, multipy B by 7 and you get the value of A, 154

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3 years ago

Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

Applying the law of sines

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

$A=90^o$

Find the measure of angle C

In a right triangle

we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

therefore

$C=60^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

$A=90^o$

$B=30^o$

$C=60^o$

$a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units$

<em>Second case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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4 years ago

On a cold winter moming in Colorado, the outdoor temperature was 5 degrees Fahrenheit at sunrise For the next sex hours the temp

Temka [501]

Answer: 6

Step-by-step explanation:

because i said so

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A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of produc

Harlamova29_29 [7]

4% of the 200 pills failed to retain full potency after 60 days.

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3 years ago

I literally dont understand this- help me with explanation please :')

spayn [35]

Answer:

The Triangles are not similar. (There are no s's in the triangle anywhere)

Step-by-step explanation: Look at the image and try to find the letters and trace the line its in.

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3 years ago