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steposvetlana [31]
3 years ago
7

Solve e-x = e2x+6

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:  x=4

Step-by-step explanation:

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PQRST is a rectangular-based pyramid with a height of 9cm.
Diano4ka-milaya [45]

Answer:

54.1° (1 dp)

Step-by-step explanation:

Let the center point of the rectangle PQRS = M

Calculate the length of the line SM using Pythagoras' Theorem:

          a² + b² = c²

(11/2)² + (7/2)² = SM²

              42.5 = SM²

                SM = √42.5 cm

The height of the pyramid is 9 cm,  therefore, MT = 9

Now we have a right angled triangle with base SM and height MT and hypotenuse ST

We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM

tan TSM = MT/SM = 9/√42.5

TSM = arctan (9/√42.5) = 54.082088°

So the angle between the line ST and the plane PQRS = 54.1° (1 dp)

3 0
2 years ago
Simplify the expression:<br> 2d=1x+5b+1x=6p
Ilya [14]

Answer:

2d = 2x + 5b = 6p

Step-by-step explanation:

2d = 1x + 5b + 1x = 6p

2d = 2x + 5b = 6p

5 0
2 years ago
Read 2 more answers
A 20ft ladder leans against a building and it touches the building 18ft above the ground. What is the angle of elevation that th
sammy [17]

Answer:

The angle is [/tex]64.1581^{\circ}[/tex]

Step-by-step explanation:

You can figure this out using the sine function:

\sin(v)=\frac{18 ft}{20 ft} \\= \frac{9}{10}\\ v= \arcsin(\frac{9}{10} )\\= 64.1581^{\circ}

5 0
3 years ago
Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equati
scZoUnD [109]

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

4 0
3 years ago
What is the answer to 15/4 in improper fraction s
natka813 [3]
15/4 is equivalent to 3u3/4
7 0
4 years ago
Read 2 more answers
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