All categories

3 years ago

An angle is 74∘ more than its complement. Find the angle. degrees

Mathematics

2 answers:

agasfer [191]3 years ago

7 0

The answer is 16 degrees to your problem.

Naya [18.7K]3 years ago

6 0

The answer is 16 degrees

You might be interested in

Given that abc is approximately equal to den which statements must be true

rewona [7]

Answer:

7483y4

Step-by-step explanation:

yewhfuncf .......

3 0

4 years ago

Please help me!!! Thanks!

Vlada [557]

Answer:

I believe it's "D" 13.1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What would be the surface area of the figure..

valina [46]

Answer:

Step-by-step explanation:

The surface area of the figure is sum of areas of two triangles and three ractangles:

$A=2\cdot\frac12\cdot10\cdot8,3+3\cdot10\cdot14=83+420=503\,cm^2$

8 0

3 years ago

The sales tax rate is 8.25%. Estimate the sales tax<br> on a book that costs $18.50.

eimsori [14]

Answer:

$1.53

Step-by-step explanation:

Sales Tax Rate = 8.25%

Book Sales Cost = $18.50

Book Sales Tax = 8.25% x $18.50

= 8.25/100 x $18.50

= 0.0825 x $18.50

Book Sales Tax = $1.53

4 0

4 years ago

Read 2 more answers

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

4 years ago