Answer:
Angle x is 64 degrees. Angle y is 128.
Step-by-step explanation:
To find angle x:
In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.
To find angle y:
Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.
Answer:
83422.5 grass seeds
Step-by-step explanation:
Applying,
A = 1/2bh....................... Equation 1
Where A = Area of the Triangle, b = base, h = height.
But, from the diagram,
tanФ = 20/b
b = 20/tanФ.................. Equation 2
Substitute equation 2 into equation 1
A = 1/2(20/tanФ)(h)................ Equation 3
Given: h = 20 m, Ф = 40°
Substitute these values into equation 3
A = 1/2(20×20)/tan40°
A = 200/tan40°
A = 238.35 m²
If the seed company recommends planting approximately 350 grass seeds per square meter,
Therefore,
Number of grass seed need = (350×238.35)
Number of grass seed needed = 83422.5 grass seeds
Answer:
Option C
Step-by-step explanation:
Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,
P ∝ N
P = kN
Here 'k' is the proportionality constant
To get the value of proportionality constant,
Since, value of 10 cribs is $1320
1320 = k(10)
k = 132
Therefore, equation will be
P = 132N
Option A
If number of cribs = 6
P = 132(6) = $792
False.
Option B
For N = 22
P = 132(22) = $2904
False.
Option C
For N = 40
P = 132(40) = $5280
True
Option D
For N = 55
P = 132(55) = $7260
False
Option E
For N = 80
P = 132(80)
= $10560
False
Option F
For N = 250
P = 132(250)
= $33000
False
If the given options have been written correctly only one option, Option (C) is correct.
Step-by-step explanation:
Lets translate this word problem into math.
"Latoya's annual salary is $26,000" = We start with the number 26,000
"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24
"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12
"How much will she get paid with each paycheck?" = "Find answer pls thx"
To put it all together...
Now all we have to do is solve!
Answer:
Latoya will get paid $1,553.98 with each paycheck.
The second option square root of 2^5
