which is equivelent to 256 2/5
∠C and ∠D are vertical angles with m∠C=−2x+90 and m∠D=x−30 .
What is m∠D?
Light travels 9.45 \cdot 10^{15}9.45⋅10 15 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. there are about 3.15 \cdot 10^73.15⋅10 7 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year. how far does light travel per second?
We are given that the distance light travel is:
9.45 x 10^15 meters / year
And that there is:
3.15 x 10^7 seconds / year
So the distance light travels per second is:
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second
The distance of the light travel per second is 3 x 10^8 meters/second
We are given that the distance light travel is
9.45 x 10^15 meters / year
And that there is
3.15 x 10^7 seconds / year
So the distance light travels per second is:
What is the distance light travels per second?It is defined as the distance that light travels in free space in one second.
Therefore we get,
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second.
Therefore the distance of the light is 3 x 10^8 meters/second.
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How many solutions are there to the following system of equations? Use any method you like, but be sure to show all work.
4x – 14y = 6
–2x + 7y = –3
Please please help! I'm really bad at this! Please show your work so I can understand
joni borrowed money from her aunt and agreed to pay her 5% simple annual interest. At the end of 3 years, she owes $30 in interest. how much did jodi originally borrow? A. 150
B. 200
C.220
D. 300
Answer:
B
Step-by-step explanation:
Suppose △ ITH ≅ △ APG
Which congruency Statement is true?
A) IH ≅ AG
B) TH ≅ AG
C) IT ≅ AG
D) TH ≅ AP
Answer: A) IH ≅ AG
Step-by-step explanation:
A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.
We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of Δ APG.
i.e. Corresponding sides of Δ ITH and Δ APG are congruent.
Since Side IH in Δ ITH is corresponding to side AG in Δ APG [First and last letter]
Then, IH ≅ AG
Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x.
If y = 25 and k = 50, what is x?
1/2
2
1,250
Answer: 2
Step-by-step explanation: i got it right :)
the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse
A. always
B.sometimes
C. never
Option: A is the correct answer.
A. always
Step-by-step explanation:Right Triangle Altitude Theorem--
It states that when an altitude is drawn from the the vertex containing the right angle to the opposite side i.e. hypotenuse then the length of the altitude is the geometric means between the segments on the hypotenuse.
i.e. if we consider a right angled triangle ΔCAB with right angle at A.
Then if a altitude AD is drawn from vertex A then we have:
[tex]AD=\sqrt{CD\cdot DB}[/tex]
P=(20+0.5x)+ 0.15(20+0.5x)
Ashley drove 5 hours and 45mins and drove 391 miles. How far did she drive in 1 hour
solve the equation w/4=32
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip
Final answer:
To determine how long Loretta's father drives, we deduct the distance Loretta drives (220 miles) from the total trip distance, then divide the remainder (390 miles) by her father's average speed (65 mph), resulting in 6 hours of driving time for her father. The total trip time is 10 hours.
Explanation:
The question is about calculating travel times and distances using average speed. Loretta and her family are traveling 610 miles with Loretta driving the first 4 hours of the trip at 55 mph and her dad driving the remainder at 65 mph. To calculate the distance Loretta drives, we multiply her driving time by her average speed (4 hours * 55 mph = 220 miles). Then, we subtract that distance from the total trip distance to find out how far her dad drives (610 miles - 220 miles = 390 miles). To calculate how long her dad drives, we divide his driving distance by his average speed (390 miles / 65 mph).
Now let's solve the dad's driving time:
390 miles / 65 mph = 6 hours. So, Loretta's dad would drive for 6 hours. The total driving time for the trip is the sum of both Loretta's time and her dad's time: 4 hours + 6 hours = 10 hours.
Anna is conducting a study about the effects of toxins in the water on the hormones of fish. Anna surveys 420 male fish in a river and finds that 130 of the male fish have egg cells growing inside them. According to Anna's survey, what is the ratio of male fish with egg cells to male fish without egg cells in the river?
The ratio of male fish with egg cells to male fish without egg cells is 130:290, which simplifies to 13:29.
To determine the ratio of male fish with egg cells to those without, you must subtract the number of male fish with egg cells from the total number of surveyed male fish. According to Anna's survey, she found that 130 male fish out of 420 had egg cells. This implies that 420 - 130 = 290 male fish do not have egg cells.
Now, to find the ratio:
Male fish with egg cells: 130
Male fish without egg cells: 290
The ratio of male fish with egg cells to male fish without egg cells is 130:290. This ratio can also be simplified by dividing both parts by the greatest common divisor, which is 10 in this case. After simplification, the ratio becomes 13:29.
What is the percent increase from 42 acres to 72acres
Solve for x over the complex numbers. x2+10x+41=0
What is the solution to -5m = -40? m = -8 m = 200 m = -200 m = 8
Serra rode 15 mi in 1.5 hr. Phaelon rode 38 mi in 3.5 h. Justice rode 22 mi in 2.25 hr. Who had the fastest average speed?
Using the formula of average distance = total distance traveled / total time taken, we find that Phaelon had the fastest average speed of 10.86 mi/hr.
Explanation:To find out who had the fastest average speed, we'll need to calculate the average speed for each person. We can do this by dividing the total distance traveled by the total time taken.
Serra's average speed: 15 mi / 1.5 hr = 10 mi/hr
Phaelon's average speed: 38 mi / 3.5 hr = 10.86 mi/hr
Justice's average speed: 22 mi / 2.25 hr = 9.78 mi/hr
So, by comparing these speeds, we can conclude that Phaelon had the fastest average speed of 10.86 mi/hr.
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In a dilation, the ratio of the length of a side on the image to the length of its corresponding side on the pre-image is called the __________ __________.
A. center of dilation
B. scale factor
C. mapping rule
D. expansion or contraction
Please Help me!!!!!! Simplify the expression AND show your work:
sqrt(4x^2/3y)
For the given expression, the simplified form is [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
From the question, we are to simplify the expression sqrt(4x^2/3y).
The expression is [tex]\sqrt{\frac{4x^{2} }{3y} }[/tex]
We can write that,
[tex]\sqrt{\frac{4x^{2} }{3y} } = \frac{\sqrt{4x^{2}}}{\sqrt{3y}}[/tex]
Then,
[tex]\frac{\sqrt{4x^{2}}}{\sqrt{3y}} = \frac{2x}{\sqrt{3y} }[/tex]
To simplify further, we can rationalize the denominator
We get
[tex]\frac{2x}{\sqrt{3y} } = \frac{2x}{\sqrt{3y} } \times \frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
Then,
[tex]\frac{2x}{\sqrt{3y} } \times \frac{\sqrt{3y} }{\sqrt{3y} } = \frac{2x\sqrt{3y} }{3y}[/tex]
Hence, for the given expression, the simplified form is [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
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Based upon statistical studies, it takes about one-third less time for fans to exit a game as it does for them to enter and find their seats. If the ingress for the stadium is 3,000 fans per hour, what is the egress?
Answer:
4500 fans per hour
Step-by-step explanation:
A city council has to use its resources to improve either the water supply or the drainage system. At which level is this decision made?
A city council has to use its resources to improve either the water supply or the drainage system. At which level is this decision made?
The asnswer is: Government
Find the area of the triangle with vertices: q(3,-4,-5), r(4,-1,-4), s(3,-5,-6).
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
[tex]\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k[/tex]
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
Is the ordered pair (-2, 9) a solution of the equation y = x – 7?
The ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Explanation:To determine if the ordered pair (-2, 9) is a solution of the equation y = x – 7, we can substitute the values of x and y into the equation and see if it is true.
Plugging in the values, we have 9 = -2 - 7. Simplifying, we get 9 = -9. Since this statement is false, the ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Final answer:
The ordered pair (-2, 9) is not a solution to the equation y = x − 7 because when you substitute x with -2, the equation yields y = -9, not y = 9 as suggested by the ordered pair.
Explanation:
To determine if the ordered pair (-2, 9) is a solution to the equation y = x − 7, we need to substitute the x-value from the ordered pair into the equation and see if the resulting y-value matches the one in the ordered pair.
Let's substitute x = -2 into the equation:
y = (-2) − 7
y = -2 − 7
y = -9
This means that when x is -2, y should be -9 according to the equation. However, the y-value given in the pair is 9, not -9. Therefore, the ordered pair (-2, 9) is not a solution to the equation y = x − 7.
Compare the square root of 7 and 2.1
a stores plans to mark down all backpacks by 40%. James wants to purchase a backpack that is currently priced for 55 Dollar. How much will james save if he buys the backpack after the marks it down? A) $22 B)$33 C) 2145 D) 2200
Enter the equation: 3 less than 1/2 a number is -71.
Plz some one help!!!!!!!
Suppose an amount increase by 100%, then decreases by 100%. Find the final amount.Would the situation change if the original increase was 150%? Explain your reasoning.
I will give you 10 points if you help me
PLEASE ANSWER WORTH 99 POINTS
Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 x 3
80 divided by 3
3 divided by 80
80 - 3
A skater has a weight of 500-N. The skate blades are in contact with the ice over an area of 0.001m^2.what is the pressure exerted on the ice by the skater
The pressure exerted on the ice by the skater, who weighs 500-N and has blade contact area of 0.001 m², is 500,000 Pa (Pascals).
Explanation:The question is asking about the pressure exerted on the ice by a skater. To find the pressure, we use the formula P = F/A, where P is the pressure, F is the force, and A is the area in contact with the ice.
If the skater weighs 500-N and is gliding on one skate blade, which has an area of contact of 0.001 m2, the pressure is calculated by dividing the weight by the area. Using the provided data from the similar situation of a skater with a weight of 736 N and a blade area of 5.0 × 10-4 m2, we would calculate the pressure using these figures. However, we need to calculate the pressure using the data specific to this skater, with a weight of 500-N and a blade area of 0.001 m2.
The pressure exerted on the ice can be calculated as:
P = 500 N / 0.001 m2 = 500,000 Pa (Pascals)
4.5+1.5k=18−3k
solve for k
Answer: I think its 3
Step-by-step explanation:
4.5+4.5=9 and 3*3=9 so 18-9=9 so K=3
The value of k is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 99 is an equation.
We have,
4.5 + 1.5k = 18 - 3k
Combine like terms on one side.
1.5k + 3k = 18 - 4.5
4.5k = 13.5
Divide both sides with 4.5
k = 3
Thus,
The value of k is 3.
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