find the measure of angle a

Answer:

Step-by-step explanation:

I have attached an image to make question clearer.

(A) Yes, the surface area of the block is twice the surface area of one of the triangular prisms. This is because the block has opposite faces to be equal since it's a cuboid, also all it's faces to be made of rectangles, therefore cutting it from the diagonal makes two equal triangles. Hence, the two triangular prisms are the same and since they are the same, two of the prisms will make up the block again. In conclusion, the surface area of the block will be times two of one of the triangular prism's surface area.

(B) since the surface area of the block is times two of the surface area of the triangular prism. Then we should look for the area of the prism.

Surface area of cuboid is given as:

2(L x W + L x H + W x H)

L = 4.5, W = 3 and H = 4.

Surface area = 2(4.5*3 + 4.5*4 + 3*4) = 87

Since the surface area is 87, then the surface area of one of the two triangles will be

87/2 = 43.5.

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

x=55

Step-by-step explanation:

All the sides of a triangle add up to 180

100+25=125

180-125=55

X=55 Hope this helps

Answer: use the radious

Step-by-step explanation:

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

While in the blueprint, each square is 1/4...in real life, it's 4 feet per square.

Meaning, the area of each square is (4 x 4) 16 square feet.

Since there are 8 squares/tiles in the bathroom...

...multiply 8 x 16 = 128 square feet in real life.

Multiply that with the cost, and since it costs $5 per square feet:

Do it in similar steps.

Living room: 4 x 7 = 28 tiles

Bedroom: 4 x 5 = 20 tiles

20 + 28 = 48 tiles (in blueprint)

...multiply 48 x 16 = 768 feet square (in real life)

[Convert feet into yards...3 feet equals 1 yard]

a square yard would be 3 feet x 3 feet = 9 feet...

...divide 768 by 9

768 ÷ 9 = 85.33 square yards (rounded up)

Multiply that with the cost, and since it costs $18 per square feet:

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

Answer:

1.) isosceles

2.) equilateral

3.) obtuse

4.) right

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

Answer:

162 km per hour

Step-by-step explanation:

Hi!

Speed=Distance x Time

So... 3 x 54 = 162

Hope this helps :)

Answer:

18km/h

Step-by-step explanation:

Well. Speed = Distance x Time

So if she travelled for 3 hours. In that time, she must have travelled 54km.

Average speed is given as kilometres per hour or km/h

So all we need to do is 54/3 which gives us 18km/h

I hope that helps! ^-^

Answer:

It is that each method has different equations and not all of them can tell you what you are looking for

Step-by-step explanation:

If I helped can I get Brainliest

Answer:

x ≥ 9

Step-by-step explanation:

I need help on the same one!!

Answer: angle 1= 65 degrees, angle 2=115 degrees

Step-by-step explanation:

Step-by-step explanation:

Can you please attach the graph picture

Answer:

i cant see it...........

Step-by-step explanation:

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Answer:

yeah

Step-by-step explanation:

yeah looks good to me

Answer:

-1, 0 and +1. Those are the only integer solutions.

Answer:

280 is your answer

Step-by-step explanation:

Answer:    21

Step-by-step explanation:

add all the numbers together as many times as they are shown on the shape so 2.8=4 times

1.4= 2 times

and 3.5= 2 times

Answer:

904.8 centimeters

Step-by-step explanation:

1)identify variables

h = 18        d = 8

2)radius is half of the diameter

r = 4

3)use volume of a cylinder formula

V= PIEr^2h

4)substitute variables into formula

V=PIE(4)^2(18)  

5)multiply

V=  904.778684234

6)round to the nearest tenths place

V=  904.8 centimeters

yw:))

(The 'PIE' is supposed to represent the pie symbol but I don't have it on my computer.)

Answer:

53.5

Step-by-step explanation:

c = the height of the first 3 boys.

c = 54 + 48.5 + 46

c = 148.5

Now you add a fourth boy. His height is h.

A(h)= (c + h)/d      

d = the total number of boys which is 4.

The new average is 50.5

A = (c + h)/d

50.5 = (148.5 + h) / 4            Multiply both sides by 4

202 = 148.5 + h                    Now subtract 148.5 from both sides

202 - 148.5 = h

h = 53.5

Answer:

C) -7/9

Step-by-step explanation:

Do -4-3 (-7)

Do 7 - -2 (9)

Or in other words, just subtract the x to the other x, and the y to the other y (from right to left)

Answer:

8(m^2  − 2n^4  p^5)  (m^4  +  2m^2  n^4  p^5  +  4n^8  p^10)

Step-by-step explanation:

um long explanation and im bad at explaining

can i have brainliest? =)

Answer:

11,000

Step-by-step explanation:

Answer:

Elimination

Step-by-step explanation:

Graphing takes too long, substitution can sometimes complicate things quickly, therefore I would use elimination as my prime method of solving systems of equations.

Answer:

Below.

Step-by-step explanation:

1.  Vertex is  (1, -9)

2. Axis of symmetry is x = 1.

3.  x-intercepts are at (-2,0) and (4,0).

4.  y-intercept is at (0, -8).

5. That is (3, -5).

Answer:

Vertex: In the geometry of plane curves, a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extreme point of curvature.

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Y-intercept: In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

A^3 - B^3

a-b

5

Step-by-step explanation:

Hope this helps

Answer:

a.

perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)

since L is x m and W is y meter, then

perimeter = 2 (L + W) = 2 (x + y)

p = 2(x + y)

(the correct is actually this one

70 ≤ 2(x+y) ≤ 96

b. minimum perimeter

to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)

p(min) = 2 * ( x(min) + y(min))

p(min) = 2 * (20 + 15)

p(min) = 2 * (35) = 70

c. maximum perimeter

to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)

p(miax) = 2 * ( x(max) + y(max))

p(max) = 2 * (30 + 18)

p(max) = 2 * (48) = 96 m

Answer:

250%

Step-by-step explanation:

Let initial Markup % = x

Sales price = 100% + x = (1 + x)%

50% off sale = (1+x)% - (1+x)% /2

Final price after 50% off sale = 1 + 0.75 = 1.75

Hence,

50% off sale = 75% price markup

0.5(1 + x) = 1.75

0.5 + 0.5x = 1.75

0.5x = 1.75 - 0.5

x = 1.25 / 0.5

x = 2.5

Hence, Markup on initial price should be 1.25 = (2.5 * 100%) = 250%