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Ksju [112]
2 years ago
5

One of the diagonals of a rhombus is 15 cm long. if the rhombus has an area of 60 cm², find the length of the other diagonal.​

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Answer:

8.5

Step-by-step explanation:

area of a rhomus = (1/2)(product of its diagonals)

let the other diagonal be a

(1/2)(15a) = 60

15a= 120

a = 8

So let's find the hypotenuse of one of the right-angled triangles formed by the intersection of its diagonals

base = 4, height = 7.5

if h is the hypotenuse,

h^2 = 4^2 + 7.5^2

h = 8.5

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For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
Morgarella [4.7K]

Answer:

48

Step-by-step explanation:

We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.

So, equating (4n + 7) with 200 we can get the value.

4n + 7 = 200

⇒ 4n = 193

⇒ n = 48.25

Hence, the value of n will be the largest integer less than 48.25.

Therefore, the number of integer values of n will be 48. (Answer)

3 0
3 years ago
Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer
Firlakuza [10]

Answer: ŷ = 0.07X + 5.2

Step-by-step explanation:

Given the following :

Number of citations 5 - 7.5 - 10 - 15 - 20

Outputs Residuals 3 - - 6 - - 10 - 5 - - 6

Using the online regression calculator :

Line of best fit is represented by the equation:

ŷ = 0.06897X + 5.2069

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From the line equation:

y = mx + c

With 0.07 = slope of gradient(m)

Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis

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8 0
3 years ago
-8 + 3h = 1 <br>i need help its a 2 step equation​
LekaFEV [45]

Answer:

h = 3

Step-by-step explanation:

-8 + 3h = 1

Add 8 to both sides.

3h = 1 + 8

Add 1 and 8 to get 9.

3h = 9

Divide both sides by 3.

h = \frac{9}{3}

Divide 9 by 3 to get 3.

h = 3

7 0
2 years ago
The balance of an account earning compound interest is found using the formula A=p(1+r)t , where p is the principal (the amount
Nataly [62]
Hi there

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5 0
3 years ago
Andrea bought tacos from a food truck and left a 2 5 % 25%25, percent tip of $ 2 . 0 0 $2.00dollar sign, 2, point, 00. What was
Bingel [31]

Let us say the original price of taco before tip was x dollars.

Percentage of tip given =25 %

Amount of tip given = $2

Now we can say that 25 % of total amount = 2 dollars.

Making an equation,

0.25x =2

Now we have to solve for x, so dividing both sides by 0.25,

x= 8

Answer : The original price of tacos before tip was $8.

5 0
3 years ago
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