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Akimi4 [234]
2 years ago
8

16. If the base of parallelogram is 10 cm and its corresponding height is 5

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

50 cm²

The answer is that because the area of a parallelogram is height × width.

height = 10cm

width = 5 cm

10 × 5= 50cm²

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2. What is the effective annual rate of an investment that pays 6% for 5 years, compounded semiannually?
Ede4ka [16]

Answer:

effective annual rate is 6.16 %

Step-by-step explanation:

given data

rate = 6 % = 0.06

time 5 year = 10 semi annually

to find out

effective annual rate

solution

we know formula for annual effective rate of interest is

rate of  interest = (1+ r/n)^{n} -1

put here all value

rate of interest = (1+ 0.06/10)^{10} -1

rate of  interest = (1+ 0.06/10)^{10} -1

rate of interest = 0.061646

so effective annual rate is 6.16 %

8 0
3 years ago
Please help me I need the answer
VMariaS [17]

Check the picture below.

well, since the triangle is an isosceles, with twin sides and twin angles at the "base", let's check what the angle at R is, 15(7) - 31 = 74, and her twin sister at T is also 74, that means that the angle at S is 180 - 74 - 74 = 32.

4 0
2 years ago
Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.
Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}

similarly, we can find the distance BP

BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

since both distances are exactly the same we can equate them

AP = BP

\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0
3 years ago
HELPPP!!!! 110 points if you get it correct before the 4th of october!!!1
skelet666 [1.2K]

Answer:

5.7, 6.9, 5, 7.1

Step-by-step explanation:

The absolute value of a number shows its distance from 0 on the number line, meaning it must always be positive since distance is positive. You have to perform the operations indicated on each expression to the left and match it to the correct value on the right. I got 5.7, 6.9, 5, 7.1 in order from top to bottom after adding and subtracting the numbers to the left.

4 0
3 years ago
Read 2 more answers
lucius is making favors for his sisters wedding if supplies for 25 favors cost $62.50 how much do supplies for 60 favors cost
ira [324]
$62.50/25=2.5 that just represents each favor cost $2.50 
so if youre looking for 60 you would do 60x2.5 
=$150 
7 0
3 years ago
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