Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
Answer:
b. Similar
Step-by-step explanation:
Although angles are congruent the triangles are not as sides need to be the same too. Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.
Because the angles are congruent and sizes are not shown they must be similar.
They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.
They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.
They are not fully congruent as we do not know there side measures so they have to be similar.
Answer:
Step 3
Step-by-step explanation:
x^3=3
you need to root cube both side not divide both side by 3
You cannot just divide the cube (^3) by 3 to make it 1/
Answer:
nmo
Step-by-step explanation:
pls give brainliest im almost lvled up.
Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. ...
Step 3: Graph the boundary line from step 2 in the xy-axis. ...
Step 4: The last step is to shade one side or region of the boundary line.
