Answer:
C must be acute, and ABC cannot be constructed
Step-by-step explanation:
24 degrees is under 90 degrees making angle c an acute angle.
ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.
Have a great day friend! :D
Answer:
C must be acute.
Step-by-step explanation:
The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.
which could be the function graphed below ??
Answer:
D [tex]\sqrt{x+4}[/tex]
Step-by-step explanation:
You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?
Answer:
$2,100
Step-by-step explanation:
'regular' pay is 375/10 or $37.50 per hour
'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour
'double time' would be (2)37.50 = $75.00
35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'
so:
(7)75 + (28)56.25 = 525 + 1575
Total overtime pay for 2-week period is $2,100
Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.
Answer:
1/2
Step-by-step explanation:
b is directly proportional to h.
b = kh
take any (h, b) point
using (28, 14)
14 = k(28)
Divide both sides by 28
1/2 = k
1/2
does anybody know this?
Answer:
8 5/9
Step-by-step explanation:
6 1/3 + 2 2/9
Get a common denominator of 9
6 1/3 *3/3 + 2 2/9
6 3/9 + 2 2/9
8 5/9
28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?
Answer:
$ 1.94
Hope I helped
Which of the following statements are correct?
Please help
Answer:
True A. angles one and five are corresponding angles.
True B. angles three and six are alternate interior angles.
False C. angles two and seven are alternate interior angles.
Angles two and seven are alternate exterior angles.
False D. angles five and eight are alternate exterior angles.
Angles five and Eight are verticle angles.
False E. angles two and four are same-sided consecutive angles.
Angles two and four are supplementary angles
True F. angles four and six are same side consecutive angles.
True G. angles one and eight are alternate exterior angles.
A line has a slope of 5 and passes through the point (1,5). What is its equation in
slope-intercept form?
Answer:
[tex]y=5x[/tex]
Step-by-step explanation:
Insert the information into the point-slope formula to find slope-intercept form.
[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]
The difference of twice a number and 7 is 20. Find the number.
Answer:
twice the difference gives 2(difference). 7 = 14 20 = 40
Step-by-step explanation:
A basket containing 150mangoes cost 450 find the selling price of an orange if it is to be sold at a profit of 5%
Answer:
The selling price cost 472.5
Step-by-step explanation:
Let's find the profit first.
To find that, let's turn 5% to decimal form.
5 % = 0.05
Then, lets multiply it to the initial price which is 450
450 * 0.05 = 22.5
So the profit costs 22.5
Now, let's add the profit to the initial cost to find the selling price
450 + 22.5 = 472.5
That's it.
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A. 5
O B. //
1
C.
091
D. -5
Answer:
its C. 1/5
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S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?
PLEASE HELP WITH THIS QUESTION
Answer:
Heigh <= 63
Width <= 56
Length <= 61
Step-by-step explanation:
Height: x+7
Width: x
Length: x + 5
(x + 7) + (x) + (x + 5) <= 180 cm^3
3x + 12<= 180
3x <= 180-12
x <= 168/3
x <= 56
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
Find the slope (show your solution)
y=4x+5
please help me to answer this i really really need it
Find the value of x.
(8x + 2)°
60°
Y
70°
Z
Here according to angle sum property all angles sum u up 180°
So,
[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
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5/6(-4 1/2)(-2 1/5) what is the answer
Alguien me puede ayudar en esta tarea por favor la necesito para mañana
La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :
R = [tex]\sqrt{x^{2}+16x+64}[/tex]
Point-Slope Form of a Line
Please help
Solve.
(5√5)^−2x+1 = 1/5 ⋅ 125^x−3
Enter your answer in the box. Enter any fraction as a simplified fraction.
Step-by-step explanation: (5√5)−2x+1=
1
5
(125x)−3
0.008x+1=
1
5
(125x)−3
Step 1: Flip the equation.
1
5
(125x)−3=0.008x+1
Step 2: Add 3 to both sides.
1
5
(125x)−3+3=0.008x+1+3
1
5
(125x)=0.008x+4
Step 3: Divide both sides by 1/5.
1
5
(125x)
1
5
=
0.008x+4
1
5
125x=0.04x+20
The value of x is 46.
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.
Given:
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]
ow, using exponents and powers
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]
[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]
[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]
Now, Comparing
-x+ 3/2 = 3x- 10
-x - 3x = -10 - 3/2
-4x = -23/2
x= 46
Hence, the value of x is 46.
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Devaughn's age is two times Sydney's age. The sum of their ages is 21. What is Sydney's age?
Answer:
The age is 7
Step-by-step explanation:
Devaughn's age is two times Sydney's age
and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)
Therefore 3X=21
Rearranged is X= 21 divide 3
Therefore Sydney’s age is 7
If 3 bananas cost of 50 cents, how many bananas can be bought for 20 dollars?
Answer:
120 bananas
Step-by-step explanation:
$20 = 2000 cents
Create a proportion:
Cross multiply, then divide: 3 × 2000 = 6000, 6000 ÷ 50 = 120
So, you can buy 120 bananas for $20
hope this helps
Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)
Answer:
10
Step-by-step explanation:
The value of P(x<6) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.
So, P(x<6)
= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)
= 1/10 + 1/10+ 1/10 + 1/10 + 1/10
= 5/10
= 1/2
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What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place
Answer:
763.4 ft^3 to the nearest tenth.
Step-by-step explanation:
The base radius = 1/2 * 18 = 9 ft.
The volume = π r^2 h
= π * 9^2 * 3
= 763.407 f^3.
positive and negative relationships are both examples of linear relationships
A. True
B false
Answer: A. True.
Step-by-step explanation:
A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.
9/10 minus blank equals 1/5
Answer:
7/10
9/10 - ____ = 2/10
9 - 7 = 2
So, 9/10 - 7/10 = 2/10 or 1/5
Step-by-step explanation:
help plsss TT ill givee brainly
Answer:
Find the Circumference!
Step-by-step explanation:
Finding the circumferenfe is pretty simple!
On this question, it looks like the diameter is 14!
take the circumference and divide it by 2
14/2
Take the answer and multiply it by PI (3.14).
7 * 3.14 = 21.98
You buy a $266,000 home.with. a.down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment mortgage amount
100.00 decreased by 20%
Please help
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
I need the answer and how you done it please
Answer:
x=11/17
Step-by-step explanation:
determine the defined range
11/x 17
11/x =17 then x is canceled out
11=17x
17x=11 dividing both sides
x=11/17