All categories

3 years ago

Find the value of x (image below)

Mathematics

1 answer:

Hitman42 [59]3 years ago

8 0

Answer:

x=35

Step-by-step explanation:

You might be interested in

What is the midpoint between -2-3i and 3+9i

Svetlanka [38]

Answer:

1/2 + 3i is the midpoint between -2-3i and 3+9i.

Step-by-step explanation:

Given the complex number

-2-3i

3+9i

The formula to find the midpoint of two complex number (a + bi) and (c + di) is:

$M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}$

$M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}$

$M=\frac{-2+3+\left(-3+9\right)i}{2}$

$M=\frac{1+6i}{2}$

$M=\frac{1}{2}+3i$

Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.

3 0

3 years ago

A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d

Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.

Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

$V=\dfrac{1}{3}b\times h,$

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

$\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.$

Therefore, the volume of the pyramid is

$V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.$

Thus, the required volume is $V=324~\textup{cm}^3.$ This makes (C) as the correct option.

5 0

3 years ago

Find the value of x.

Irina-Kira [14]

The 2 angles are complementary angles and need to equal 90 degrees.

Making an equation we have:

4x-10 + x = 90 degrees

Add like tems:
4x +x = 5x

Now we have:
5x-10 = 90

Add 10 to both sides:

5x = 100

Divide both sides by 5:

x = 100/5

X = 20

5 0

3 years ago

Read 2 more answers

Please help me with this question!:(((

jolli1 [7]

Answer:

skip it :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. of th

bekas [8.4K]

Please Send Lions, Monkeys, Cats And Zebras Into Lovely Hot Countries
Signed General Penguin
P - potassium
S - sodium
L - lithium
M - magnesium
C - calcium
A - aluminium
Z - zinc
I - iron
L - lead
H - hydrogen
C - copper
S - silver
G - gold
<span>P - platinum</span>

5 0

3 years ago