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aev [14]
3 years ago
5

the price of grapes at the grocery store is 1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest pe

rcent, what is the price of grapes in dollars per kilogram
Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
1 kg = 1pound/0.45=2.2222(2) pounds
1.44*2.222(2)=3.11 dollars per kilogram
Price of grapes is 3.11 dollars per kilogram
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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0
3 years ago
Read 2 more answers
I need a little help with this problem: 5k + 1 = 4k - 1
Varvara68 [4.7K]
5k-4k=-1+-1
k=-2, its all aboit rearranging the order of numders based on there like terms. If you need any more help ask.
8 0
3 years ago
Please help me with geometry! &lt;3<br> In rhombus ABCD, m&lt;=53*, What is M (*=degrees)
julia-pushkina [17]
In a rhombus opposite angles are equal and all 4 add up to 360
assuming one angle is 53, the opposite angle will also be 53 and then adjacent angles will be (360 - (53 x 2))/2 = 254/2 = 127*(deg)
I think the answer you're looking for is 127
3 0
3 years ago
Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Ilya [14]

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

Chang in miles = 3

Change in time = 1

Slope = 3/1

Slope = 3

7 0
3 years ago
A rectangular red sticker is 8 millimeters wide and 5 millimeters tall. What is it’s area
PolarNik [594]

Answer:

40 milimeters

Step-by-step explanation:

8*5=40

4 0
3 years ago
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