Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18
Answer:
The first store
Step-by-step explanation:
3sweaters->$44.99
4sweaters->x
x=4×44.99/3 x=$59.98
3sweaters->$52.00
4sweaters->x
x=4×52/3 x=$69.33
first store<second store
59.98<69.33
Answer:
a) 38"
b) L = 5.7'
Step-by-step explanation:
a) Given
P = 9,500 lb/ft
Thick = 18"
We assume an allowable bearing pressure of σ = 3000 lb/sf
If Stress = Force / Area
σ = P/A
Solving for area
A = P/σ ⇒ A = 9,500 lb/ft/3000 lb/sf
⇒ A = 3.167 sf, or 3.167 ft wide, per foot of length.
⇒ A = 38" wide
We can see the pic 1 in order to understand the answer.
b) Given
P = 65,000 pounds = 65,000 lb
Thick = 18" = 1.5'
We assume an allowable bearing pressure of σ = 2000 lb/sf
If Stress = Force / Area
σ = P/A
Solving for area
A = P/σ ⇒ A = 65,000 lb/2000 lb/sf
⇒ A = 32.5 sf
then A = L² ⇒ L = √A = √(32.5 sf) = 5.7 ft
Finally L = 5.7'
We can see the pic 2 in order to understand the answer.
After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.
Given logarithm function is ln (52).
We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.
The easiest way to do this is to make use of a calculator where we can put the value of natural log.
After putting ln (52) in the calculator, we have
ln (52) = 3.951243719
In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.
Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.
Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.
To learn more about rounding values visit brainly.com/question/14200883
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