What is the range of possible values for x? The diagram is not to scale.?
Answer:
Range : 0° < x < 17°
Step-by-step explanation:
In any triangle, the smallest angle is opposite to the smallest side.
So, In ΔABD , the side which faces ∠ABD is AD whose length is 22 units.....(1)
And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)
Now, from equations (1) and (2) We get,
∠ABD < ∠CBD
So, ∠ABD lies between 0° to 34°
[tex]\Rightarrow 0 < 2\cdot x<34\\\Rightarrow 0<x<\frac{34}{2}\\\Rightarrow0<x<17[/tex]
∴ Range of x is 0° to 17°
Answer:
Range : 0° < x < 17°
Step-by-step explanation:
In any triangle, the smallest angle is opposite to the smallest side.
So, In ΔABD, the side which faces ∠ABD is AD whose length is 22 units.....(1)
And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)
Now, from equations (1) and (2) We get,
∠ABD < ∠CBD
So, ∠ABD lies between 0° to 34°
∴ Range of x is 0° to 17°
Give the excluded value(s) for the following fraction.
y+5/y^2+4y-32
Answer:
y is -8 and 4.
Step-by-step explanation:
Solve (x 6)(x - 4) = -16
Answer:
{-4, 2} Original poster forgot to add the + sign
Step-by-step explanation:
Solve (x + 6)(x - 4) = -16
{-4, 6}
{-4, 2}
{-12, 22}
Odyssey
Katie is selling lemonade for 1.50 pee cup. she decides to put them on sale for 0.90. what percent discount did she give her on the lemonade
What is the value of the discriminant in the equation shown below?
x^2+3x-6=0
...?
Discriminant = b^2 - 4ac
a = 1
b = 3
c = -6
3^2 - 4(1x-6)
9 - (4 x -6 )
9 - -24 = 33
Therefore it has 2 real roots
please help me with this problem thanks!
help :(
Which situations can be represented by a linear function?
Select each correct answer.
a. Every year, Luisa puts $10 into her savings account.
b. Every day, the number of bacteria in the dish is 3 times what it was the previous day.
c. A country's population increases by 0.8% each year.
d. The barrel leaks 0.5 L of water each day.
The barrel leaks 0.5 L of water each day.
Every year, Luisa puts $10 into her savings account.
the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers
The total cost in dollars to produce q units of a product is C(q). Fixed costs are $13000 . The marginal cost is C'(q)=0.006q^2-q+50.
Estimate C(170) , the total cost to produce 170 units.Find the value of C'(170). Then combine these to find C(171).
To find the cost of production for 170 units, consider both fixed costs and variable costs (the integral of the marginal cost function). The cost of producing 171 units can be estimated by adding the marginal cost for the additional unit.
Explanation:The quantity of interest is C(170), the total cost to produce 170 units. To estimate this value, you can calculate the fixed costs plus the integral of the marginal cost from 1 to 170 (the number of items produced).
So, first, calculate the fixed costs which is given as $13000.
Next, estimate the total variable costs, which is the integral of the marginal cost function over the range from 1 to 170 units. Given marginal cost function is C'(q) = 0.006q^2-q+50. Use the power rule to integrate the function, then evaluate it at q=1 and q=170 and subtract.
The value of C'(170) is simply the value of the marginal cost function at q=170.
After finding the value of C(170) and C'(170), the total cost to produce 171 units, C(171), is approximately the total cost to produce 170 units plus the marginal cost to produce the 171st unit.
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Which of the following would you round and estimate to a sum of 11?
3.41 + 8.051
3.65 + 7.992
4.25 + 8.103
4.89 + 7.431
Answer:
3.41+8.051
Step-by-step explanation:
If the sum of the measures of the interior angles of a convex polygon is 2160o, how many sides does the polygon have?
this year 90 students signed up for the group Talent contest if all the groups have the same number of students how many groups could be formed
a. 4 or 5 groups
b. 5 or 6 groups.
c. 4 or 6 groups
d. 4 or 9 groups
The formula c=5/9(f-32) is used to convert the temperature in degrees fahrenheit (
f. to the temperature in degrees celsius (
c. what is the temperature in degrees celsius (
c. that is equal to 113 degrees fahrenheit (
f.?
The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
What is a mathematical expression?
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given, formula of temperature conversion of degree celsius to fahrenheit
c=5/9(f-32)
If f = 113
then putting the value on the equation, we get
c = 5/9(113-32)
c = 5/9(81)
c = 5*9
c = 45 degree celsius
Therefore, The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
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20 is 50% of what number? If necessary, round to the nearest tenth.
Is it 10.0?
20 is 50 percent of the number 40.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let 20 is 50% of the number x.
Now, 50% of x=20
0.50×x=20
0.5x=20
x=20/0.5
x=40
Therefore, 20 is 50 percent of the number 40.
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A box of rice is 19 centimeters long, 12 centimeters wide, and 3.5 centimeters deep. The volume of the box is the product of its length, width, and height. What is the volume of the box?
(1.8 * 10^2) * (5 * 10^2)
divide 56 in a ratio of 5:3
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator.
Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
What is 117.28 rounded to the nearest 10 cents?
If martha earns $3.25 per hour for baby-sitting, how much will she earn in: 2.5 hours? 4.0 hours? 5.5 hours?
Answer: Martha will earns for 2.5 hours of baby sitting [tex]\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]\approx\$17.88[/tex]
Step-by-step explanation:
Given: Martha earns for each hour of baby sitting = $3.25
Then, Martha will earns for 2.5 hours of baby sitting =[tex]2.5\times3.25=\$8.125\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]4.0\times3.25=\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]5.5\times3.25=\$17.875\approx\$17.88[/tex]
4. which property is illustrated by the following statement?
2x(6)=(6)2x
A. associative property of addition
B. communtative property of multiplication
C. inverse property of multiplication
D. communtative property of addition
5. which property is illustrated by the following statement?
5g+7=7+5g
A. communtative property of multiplication
B. Inverse property of multiplication
C. communtative property of addition
D. associative property of addition
The answer for #5 is C.
The decimal number 0.66 is an example of a repeating decimal.
True
or
False
pls answer quick
Answer:
the anwser is FALSE
Step-by-step explanation:
Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.
Option 1: $53 for each ticket plus a shipping fee of $10
Option 2: $55 for each ticket and free shipping
What is a system of equations to represent the costs of the tickets?
Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.
Option 1:______________
Option 2: ______________
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. Use the approximation 3.14 for pi. C=44. C stands for circumference.
then d= 44/3.14
r= 22/3.14
Line QR bisects angle PQS. Solve for x and find measure PQS:
m
Line QR bisects angle
PQS. Solve for x and find measure PQS:
m<PQS = 4x - 6, m<PQR = x + 11 ...?
m<PQR = (1/2) (m<PQS) = (1/2)( 4x - 6)
so x + 11 = 2x - 3 implies x =14
and then m<PQS = 4x - 6 =50°
the price of a car increases in the ratio 11:8. What is the new price of a car which originally cost 25600?
Please explain this problem.
# of Songs:Cost
6:$7.20
7:$8.40
8:$9.60
Cedric buys songs at a store that charges $1.20 per song. Shumeka buys songs at a different store. The table shown here gives the cost when she buys 6, 7, and 8 songs.
Are songs more expensive at Cedric’s store or Shumeka’s store?
A) Cannot be determined
B) Cedric's store is more expensive.
C) Shumeka's store is more expensive.
D) Songs cost the same at both stores.
Answer:
Songs cost the same at both stores.
Step-by-step explanation:
For the fruit punch, keira needed 2 gallons of grape juice. she already had 2 quarts of grape juice. grape juice comes in bottles of 1 pint. how many bottles of grape juice does she need to buy? bottles
What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?