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kvv77 [185]
2 years ago
8

Martha jarred 6 liters of jam after 2 days. How many days does Martha need to spend making jam if she wants to jar 21 liters of

jam in all? Assume the relationship is directly proportional.
Mathematics
1 answer:
lana66690 [7]2 years ago
3 0

Answer: 7

Step-by-step explanation:

if Martha jarred 6 liters of jam in 2 days,

she will jarred 3 litters of jam in one day

for 21 litters she will need 7 days

21/3=7

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How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
zysi [14]

Answer:

1) one

2) zero

Step-by-step explanation:

e/sinE = g/sinG

10/sin64 = 9/sinG

sinG = 0.8089146417

G = 53.99

j/sinJ = k/sinK

3/sin129 = 8/sinK

sinK = 2.072389241

3 0
3 years ago
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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

6 0
3 years ago
Will give brainliest
lianna [129]

Answer:

40⁰

Step-by-step explanation:

<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>

1.Alternate angles equal

2.Vertically opposite angles are equal

If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰

Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.

There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand

6 0
3 years ago
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Loge (k? + 2k)= log, 60 – loge 4
Nonamiya [84]
Log(k + 2k) = log60 - log4
for two functions to be equal, the arguments of each must be equal
k = 5
6 0
3 years ago
What is m∠A? Please explain how you got your answer ;;
Ierofanga [76]
M<E = 180 - 43 - 35 = 102
m<A = 180 - 18 - 102 = 60

answer
m<A = 60
3 0
3 years ago
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