Using Pythagoras' theorem, calculate the length of the hypotenuse in this right-
angled triangle.
Give your answer in centimetres (cm) to 1 d.p.
6 cm
2.5 cm
Answer:
6.5
Step-by-step explanation:
Look at image.
Hope it helps
The length of the hypotenuse in the right-angle triangle of length and base is 6.5 cm.
From the Pythagoras theorem, the sum of squares of the two sides of a right-angle triangle is equal to the square of the hypotenuse.
We can calculate the third side using Pythagoras' theorem, as the base and perpendicular sides are given.
Given:
Sides, x = 6 cm and y = 2.5 cm
From Pythagoras' theorem:
x² + y² = z²
6² + 2.5² = 6.5 cm
Hence, the length of the hypotenuse in the right-angle triangle is 6.5 cm.
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At its closest, Saturn is about 743,000,000 miles from Earth
At its closest, Saturn is about 743,000,000 miles from Earth. And a deep-space probe travels from Earth to Saturn at an average speed of 25,000 miles per hour.
Step-by-step explanation:
What is the y-intercept of this graph?
Heidi was able to walk 2/3 of a mile in
12 minutes. How far could Heidi walk in
1 hour?
Answer:
1 and 1/3
Step-by-step explanation:
60 ÷ 12 = 5
2/3 × 5 = 10/3
10/3 = 1 and 1/3
Look at the graph shown below:
A coordinate plane is shown. A line passes through the point −4 comma 1 and through the y-axis at 4.
Which equation best represents the line?
y = 3 over 4.x + 4
y = 4 over 3.x + 4
y = 4x + 3 over 4.
y = 4x + 4 over 3.
Question 2(Multiple Choice Worth 4 points)
(04.07A)
Two quantities are related, as shown in the table below:
x y
2 2
4 5
6 8
8 11
Which equation best represents the relationship?
y = 3 over 2x + 2
y = 3 over 2x
y = 3 over 2x − 1
y = 3x + 2
Question 3(Multiple Choice Worth 4 points)
(04.07A)
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are both right triangles
Yes, because they are similar triangles
Question 4(Multiple Choice Worth 4 points)
(04.07A)
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Question 5(Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
A coordinate plane is shown. A line passes through the y-axis at 3 and through the point 2 comma 4.
0
1
3
3.5
Answer:
y = negative 1 over 2 x + 11
took the test and its the correct answer
Step-by-step explanation:
Answer:
y=3 over 4.x+4
Step-by-step explanation:
What does the x equal?
Answer:
60 degrees
Step-by-step explanation:
180-120=60
may you plz help this is due today plz i will mark you brainlist
Answer:
1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4: 2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%
Step-by-step explanation:
What is 0.1% of 75? explain
Answer:
0.075
Step-by-step explanation:
1% = [tex]\frac{1}{100}[/tex]
0.1% = [tex]\frac{0.1}{100}[/tex]
0.1% of 75 = [tex]\frac{0.1}{100}[/tex] × 75
= 0.075
Answer:
0.075
Step-by-step explanation:
On a coordinate plane, an orange line goes through points (0, 2) and (1, negative 1), and a blue line goes through points (0, negative 3) and (2, 1).
The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
The
line represents this scenario.
Answer:
blue
Step-by-step explanation:
on edge 2020
Answer:
blue
Step-by-step explanation:
did on edge
Select the correct answer.
Look at the graph below.
Based on the graph, which of the following statements is true?
Answer:
C
The total price(Y axis) depends on the number of crates(X axis) .
!!ONLY TWO QUESTIONS!!
(Also only answer if u know it. Have a good night btw)
This really matters to me so please help idk what to do
What is the main difference between vascular and non-vascular plants? *
Suppose you find a plant that has a woody stem and is taller than you. Would you classify the plant as vascular or non-vascular. Explain. *
Answer:
A differnece between the plants is that the vascular plant has vascular vessels to carry water and food to all the different parts of the plant
Step-by-step explanation:
one of my teachers told me this.
Which of the following graphs is the graph of the pairs of numbers in the table below? x 0 3 6 9 y 1 4 7 10
Answer:
The graph is shown in figure attached. You can compare it with the options given and find the correct one.
Step-by-step explanation:
We have values of x and y and we need to draw graph
x y
0 1
3 4
6 7
9 10
For drawing the graph we plot the value of x and its corresponding value y.
We have 4 values in the graph
The graph is shown in figure attached. You can compare it with the options given and find the correct one.
An open box is made by cutting squares from the corners of a piece of
metal that is 16 inches by
20 inches, as shown in the figure. The edge of each cut-out square is x inches. Find V(x), the
volume of the box in terms of x.
3 |d + 1 |-7>= -1
I don’t know if it’s no solution or not
Answer: [tex]d \ge 1 \ \text{ or } \ d \le -3\\\\[/tex]
Both parts are needed to form the full solution set.
=============================================
Work Shown:
[tex]3|d+1|-7 \ge -1\\\\3|d+1| \ge 6\\\\|d+1| \ge 2\\\\d+1 \ge 2 \ \text{ or } \ d+1 \le -2\\\\d \ge 1 \ \text{ or } \ d \le -3\\\\[/tex]
In the second step, I added 7 to both sides. In the third step, I divided both sides by 3. Afterward, I used the rule that [tex]|x| \ge k[/tex] breaks down into [tex]x \ge k \ \text{ or } \ x \le -k[/tex] for some positive value k. The last thing to do is to subtract 1 from both sides to fully isolate d.
Chris will work as a landscaper over the summer. He buys $240 worth of supplies and will spend $10 each week on advertising. If he earns $80 each week, how long will it take him to make a profit?
Identify:
Strategize:
Set up:
Solve:
Check:
1) Johnny has $15 to spend on songs and podcasts. He wants to download at least 5 items. Songs cost $1.99 each and podcasts cost $0.75 each. Represent the scenario as a system of inequalities.
A. x+y≥5
1.99x+0.75y≤15
B. x+y≤5
1.99x+0.75y≥15
C. x+y≥15
1.99x+0.75y≤5
D. x+y≤15
1.99x+0.75y≥5
2) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x+9y=9
x−3y=−6
A. Multiply the second equation by -3.
B. Multiply the second equation by -4.
C. Multiply the second equation by 3
D. Multiply the second equation by -1.
3) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
A. Multiply the second equation by -4.
B. Multiply the second equation by 4.
C. Multiply the first equation by -4.
D. Multiply the first equation by -1.
Answer:
D then B then C
Step-by-step explanation:
sorry if wrong
Four more than three times a number is greater than twenty-two.
We can calculate eee, the amount of euros that has the same value as ddd u.s. dollars, using the equation e= 17/20d how many euros have the same value as u.s. dollar? euros how many u.s. dollars have the same value as 1 euro?
0.85 euros have the same value as 1 U.S. dollar.
1.18 U.S. dollars have the same value as 1 euro.
What is Euro?Euro (EUR) is used by 22 nations in Europe as their unit of exchange, including 17 members of the European Union.
What is Dollar?The US dollar (USD) is the de facto currency for international trade and a reserve currency for the majority of the world. It is also the official currency of the US.
What is exchange rate of currencies?A country's currency's value in relation to the currency of another country or economic region is known as the exchange rate.
Given equation : e = 17/20d
E = 17/20DTo learn more about euros and dollars, visit:
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WILL MARK BRAINLIEST DUE NOW!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,
Match each linear model to its inverse.
+2
y = -10 + 2
y = -x +
y =
- 2
Linear Model
Inverse
32 - 4y = 6
4x + 3y - 6
3x + 4y =-
42 - 3y -
Answer:
Min nikaribû bixwîne biborîne
Step-by-step explanation:
What does the x equal
Answer:
x = 60
Step-by-step explanation:
x + 30 + 90 = 180 (angles on a straight line)
x + 120 = 180
x = 180 - 120
x = 60
Review the graph.
What is the magnitude of the vector shown?
5
13
StartRoot 5 EndRoot
StartRoot 13 EndRoot
Answer:
D. sqrt 13
Step-by-step explanation:
took on edge :)
The required magnitude of the vector is √13. Option D is correct.
A graph is given, that shows the vector, the magnitude of the vector is to be determined.
Vector form is defined as representing any point in space that has both magnitude and direction. A point k in space is represented as a vector OKi + OKj, which denotes the vector line, OK joining the line from the origin O to the point k. The vector form is used to define a line or a plane in a 3D space.
From the figure,
given vector can be expressed as,
[tex]\bar v = 3\bar i+2\bar j[/tex]
now the magnitude of vactor,
[tex]|\bar v| = \sqrt{3^2+2^2}\\|\bar v| = \sqrt{9+4}\ \\|\bar v| = \sqrt{13}\[/tex]
Thus, the required magnitude of the vector is √13. Option D is correct.
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What is the domain of the function below?
The domain of the function is the set of all real numbers
How to determine the domain of the function?The graph represents the given function
On the graph, we have the following observation
The x values extend indefinitely on both sides of the origin
This means that the set of x values is the set of all real number
The set of x values represents the domain
Hence, the domain of the function is the set of all real numbers
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Jessica purchased items worth $41.23 at the local
grocery store. The cashier made a mistake while
ringing up her items, and Jessica ended up paying
$50.23. How many extra dollars did she pay?
8
8.2
9
Answer:
9 extra, hope this helps
A grapefruit weighed 0.65 pound. Which fraction is equivalent to the weight of the
grapefruit in pounds?
Answer:
65/100 pounds
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
13/20
Step-by-step explanation:
Write 0.65 as [tex]\frac{0.65}{1}[/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point
0.65 × 100/1 × 100 = [tex]\frac{65}{100}[/tex]
[tex]\frac{65}{100}[/tex] reduced is 13/20
13. A submarine was cruising at a depth of
153 m. It then rose at 4.5 m/min for 15 min.
a) What was the submarine's depth at the
end of this rise?
b) If the submarine continues to rise at the
same rate, how much longer will it take
to reach the surface?
Already have MY answers but want to check and see what others think. Must explain!!!
Answer:
Proof in attached image
Step-by-step explanation:
See attached image
In the diagram, △RST∼△R′S′T′ . Determine the length of RS¯¯¯¯¯¯¯ . Show your work on paper or in the box below.
The length of RS is such that △RST∼△R′S′T′ will be 6 feet.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
Given two triangles are similar △RST∼△R′S′T′
If two triangles are similar then the ratio of the corresponding side must be the same.
Therefore,
RS/R'S' = TS/T'S'
(12x + 2)/(5x + 1) = 9/4
By cross multiplication,
48x + 8 = 45x + 9
3x = 1
x = 1/3
Therefore,RS = 12(1/3) + 2
⇒ 6 feet
Hence "The length of RS is such that △RST∼△R′S′T′ will be 6 feet".
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Given question is an incomplete complete question is given below;
A woodpecker is beating its wings 850 times a minute. A hummingbird is beating its wings 5 times faster.
How many times a minute is the hummingbird beating its wings?
Enter your answer in the box.
beats a minute
Answer:
4250 times a minute
Step-by-step explanation:
5 x 850 =
Answer:
a hummingbird beats its wings 4,250 times faster
Which of these lies between 3 and 5 on a number line
A.) 3/5
B.) 4/5
C.)13/5
D.) 17/5
Answer: D) 17/5
Step-by-step explanation: 17/5=3.4
3 < 3.4 < 5
Not sure what the answer is?
Answer:
18
Step-by-step explanation:
11 * 2 = 22
9 * 2 = 18