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telo118 [61]
3 years ago
11

Please help me i dont know what the answer is ??

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
\frac{180}{3} = 60
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x

The missing angle measure, angle x, equals 18°.

Hope this helps!
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Solve Sine inverse x +sine inverse 2x = π/3 <br> Please solve it faster..
LuckyWell [14K]
Arcsin x + arcsin 2x = π/3

arcsin 2x =  π/3 - arcsin x

sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)

2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)

2x = √3/2 . cos(arcsin x) - (1/2)x)

but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²)  - (1/2)x)

Reduce to same denominator:

(4x) = √3 .√(1-x²)  - (x)===>5x = √3 .√(1-x²)

Square both sides==> 25x²=3(1-x²)

28 x² = 3 & x² = 3/28 &  x =√(3/28)



3 0
3 years ago
Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.
Leona [35]

\\ \sf\longmapsto xy=7

  • Take x to right and divide

\\ \sf\longmapsto y=\dfrac{7}{x}

Hence

.\\ \sf\longmapsto y\propto \dfrac{1}{x}

Inverse variation

7 0
2 years ago
HELP WITH MY MATH PLS
Vilka [71]

Answer:

a) slope intercept form: y = -5/14 x + 7/2

b) point slope form: y - 1 = 3/2(x - 4)

Step-by-step explanation:

a) Line A: (4,1) and (0, 7/2)

Slope = (1 - 7/2)/(4 - 0)

Slope = - 5/2 * 1/4

Slope = - 5/14

Equation in slope intercept form:

y = -5/14 x + 7/2

b)

(4,1) and (0, -5)

Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2

Equation in point slope form:

y - 1 = 3/2(x - 4)

4 0
3 years ago
Determine whether each point appears on the line with the given slope and y−intercept. Select Yes or No for each point.
-Dominant- [34]
Could you put a graph plz??
6 0
3 years ago
Read 2 more answers
A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the
kramer

Answer:

18.73ft^3

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top=(side)^2=x^2

Area of one side face=l\times b=xy

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box=V=lbh=x^2y

Total cost=9(x^2)+5x^2+4(4xy)=14x^2+16xy

204=14x^2+16xy

204-14x^2=16xy

y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}

Substitute the values of y

V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)

Differentiate w.r.t x

V'(x)=\frac{1}{8}(102-21x^2)=0

V'(x)=0

\frac{1}{8}(102-21x^2)=0

102-21x^2=0

102=21x^2

x^2=\frac{102}{21}=4.85

x=\sqrt{4.85}=2.2

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

V''(x)=\frac{1}{8}(-42x)

Substitute the value

V''(2.2)=-\frac{42}{8}(2.2)=-11.55

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value  of x

y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft

Greatest volume of box=x^2y=(2.2)^2\times 3.87=18.73 ft^3

5 0
3 years ago
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