1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enot [183]
2 years ago
14

Help. I can't do maths again​

Mathematics
2 answers:
Goshia [24]2 years ago
5 0

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

\frac{x}{sin46} = \frac{20}{sin94} ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = \frac{20sin46}{sin94} ≈ 14.4 cm ( to the nearest tenth )

harina [27]2 years ago
4 0

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}

  • a,b,c are side lengths.
  • R is radius so 2R is diameter.
  • A,B,C are angles.

Given angles are:

  • 40°, 46°

Definition of Euclidean Triangle:

  • Sum of three interior angles equals 180°

Find another angle:

  • 40°+46°+B = 180°
  • 86+B = 180
  • B = 180-86
  • B = 94°

So another angle is 94°.

To find:

  • Value of x

Determine:

  • A = 46°
  • a = x cm
  • B = 94°
  • b = 20 cm

Therefore:

\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}

Multiply both sides by 20x:

\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}

Divide both sides by \displaystyle \large{\sin 94^{\circ}}:

\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}

Evaluate the expression, hence:

\displaystyle \large{x = 14.42...}

Round to nearest whole number:

\displaystyle \large{x = 14}

Therefore, the value of x is 14 cm.

You might be interested in
Mr.Jackson bought 1 3/5 lb.of beef. He cooked 3/4 of it for lunch. How much does he have left
Luda [366]

===> Mr. Jackson bought / . of beef:

===> He cooked / of it for lunch:

Solution ===> Mr Jackson, had 2 / 5 Lbs. left

===> If he cooked / of it for lunch:

===> Mr Jackson, had / of the original amount left.

===> Since ( / )( / )

===> / * /

===> /

Mr Jackson, had / . left.

write the answer as one expression; Then Solve:

( / )( − / )

8 / 5 ( 1 - 3 / 4 )

= 8 / 5 ( 1 / 4 )

= 2 / 5 ( Decimal: 2 / 5 ====> 0.4 )

Answer, 2 / 5 Lbs.; of beef, Mr Jackson, Had left.

Hope that helps!!!!! : )

Hope that Helps!!!! : )

7 0
3 years ago
Please answer a and b
Assoli18 [71]

Answer:

(-2,1) (-1,1),(0,1)

Step-by-step explanation:

find the gradient first

6 0
3 years ago
Please answer ASAp I need this for my quiz ill give brainliest and ill thank you if its correct please i need a better grade .
zzz [600]

Answer:

I have made it in above picture

5 0
2 years ago
Joe is saving money for his
tatyana61 [14]

Answer:

He will need to save $295

Step-by-step explanation:

he needs 450 and he has 155, so all you would do is subtract 155 from 450 and you get the rest he needs which is 295

6 0
2 years ago
Using arithmetic operations, rewrite this polynomial in standard, simplest form.
dangina [55]
(3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x − 7)

First distribute the (2x+4)(3x-7) to get 6x2-2x-28
After this just add the like terms for all parts of the expression.
(3x2-8x2+6x2)+(9x-3x-2x)+(6+10-28)
x2+4x-12

So you answer is x2+4x-12
7 0
3 years ago
Other questions:
  • Which equation is equivalent to -k+0.3+10.1k=-24.5-18.1k?
    6·1 answer
  • Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What d
    9·2 answers
  • I need help please.......
    11·1 answer
  • Mrs. Balcon owes the dentist $342. She wants to have her payments taken from her checking account over the next 7 1/2 months. By
    14·1 answer
  • Write the quadratic equation in standard form:
    7·1 answer
  • An international company has 27,600 employees in one country. If this represents 34.8% of the company's employees, how many empl
    13·1 answer
  • Evaluate piecewise functions <br> Pls answer
    13·2 answers
  • Please answer this correct
    8·2 answers
  • I need help ASAP! Math
    15·2 answers
  • Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree wit
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!