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3 years ago

Can someone help me with this?

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

Answer:

Step-by-step explanation:

AD =BC = FG = EH = 3

AB = DC = EF =HG = 4

BF =AE = DH = CG = 12

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

BD² = DC² + BC²

= 4² + 3²

= 16 + 9 = 25

BD = √25

BD = 5

DG² = DC² + CG²

= 4² + 12²

= 16 + 144

= 160

FD² = DG² + FG²

= 160 + 3²

= 160 + 9

= 169

FD = √169 = 13

FD = 13

igor_vitrenko [27]3 years ago

4 0

Answer:

a) BD = 5

b) FD = 13

Step-by-step explanation:

For both questions we follow pythagoras therom.

For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5

For the second we have to find the base of GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.

Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.

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tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

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3 years ago

Find the value of X in each figure below

Mrrafil [7]

Answer:

168). C

169). C

170). C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

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3 years ago

What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?

Pani-rosa [81]

Answer: The required fourth term of the geometric sequence is $\dfrac{10}{9}.$

Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

$a(1)=30,~~~~~r=\dfrac{1}{2}.$

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

$a(n)=a(1)r^{n-1}.$

Therefore, the fourth term of the given geometric sequence will be

$a(4)=a(1)r^{4-1}=30\times r^3=30\times\left(\dfrac{1}{3}\right)^3=\dfrac{30}{27}=\dfrac{10}{9}.$

Thus, the required fourth term of the geometric sequence is $\dfrac{10}{9}.$

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3 years ago

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a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism

Nataliya [291]

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

= 33 × 54 × 6

= 10692 cubic inches

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2 years ago

a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of

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H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
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3 years ago