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3 years ago

I NEEEDDDD HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZ

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

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Pls help I'll mark brainliest

alina1380 [7]

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

8 0

3 years ago

If 10000 is invested at an interest rate of 10 per year ,compound semiannually,find the value of the investment after the given

slega [8]

Answer:

Part a) $\$17,958.56$

Part b) $\$32,251.00$

Part c) $\$57,918.16$

Step-by-step explanation:

The complete question is

If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part a) 6 years

we have

$t=6\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*6}$

$A=10,000(1.05)^{12}$

$A=\$17,958.56$

Part b) 12 years

we have

$t=12\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*12}$

$A=10,000(1.05)^{24}$

$A=\$32,251.00$

Part c) 18 years

we have

$t=18\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*18}$

$A=10,000(1.05)^{36}$

$A=\$57,918.16$

7 0

4 years ago

Consider the two triangles. To prove that △LMN ~ △XYZ by the SSS similarity theorem using the information provided in the diagra

dimaraw [331]

The corresponding sides are
LN to XZ
LM to XY
NM to ZY

We have NM=3 and ZY=9
The scale factor is 9÷3=3

XZ = 2×3 = 6 units
LM = 12÷3 = 4 units

The correct answer is LM is 4 units and XZ is 6 units

3 0

4 years ago

Read 2 more answers

Please help thank you

OLga [1]

Answer:

∑ n^2

n=1

Step-by-step explanation:

There are 6 terms in the series, so we sum from 1 to 6

The terms are the integers squared

1^1, 2^2, 3^2 4^2, 5^2 6^2 or n^2

∑ n^2

n=1

7 0

3 years ago

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PtichkaEL [24]

Answer:

I am almost sure the answer is 5 batches

Step-by-step explanation:

1/3 times 5 is 1 2/3

8 0

3 years ago