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1 year ago

Can someone help.

Mathematics

1 answer:

r-ruslan [8.4K]1 year ago

5 0

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

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Tems11 [23]

Answer:

Area =

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×h

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× 5

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Step-by-step explanation:

6 0

2 years ago

The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance betwe

arlik [135]

Answer:

$d=2,760\ ft$

Step-by-step explanation:

Let

x ----> the height of the top of a mountain above sea level

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

$x=2,450\ ft$ ---> is positive because is above sea level

$y=-310\ ft$ ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

$d=\left|x-y\right|$

substitute the values

$d=\left|2,450-(-310)\right|$

$d=\left|2,450+310\right|$

$d=\left|2,760\right|$

$d=2,760\ ft$

5 0

2 years ago

Complete the proof for the following conjecture.

Ray Of Light [21]

Answer:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0

2 years ago

two students club plan to share a bus on a trip to the capital transportation at lunch for day cost $12 per student one club has

ozzi

Answer:

$516

Step-by-step explanation:

first you multiply 12 and 25 and you get 300

then you multiply 12 and 18 and you get 216

Then finally you add 216 and 300 together to get $516

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2 years ago

There are 240 students on Misty’s school. This is 5% of the total students in the school district. How many students are there i

Viktor [21]

So if 240 is 5%, double it to get 480 than multiply it by 10 to get 4800.

5 0

2 years ago