Answers
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
Related Questions
what is the equation of the linear function?
Answers
Answer: [tex]y=-\frac{1}{2} x+3[/tex]
Step-by-step explanation:
use the formula y=mx+b
m = slope
b = y-intercept
slope is rice over run
rise 1 run -2 m= -1/2
y- intercept is the point where the line intercepts with the y-axis
b=3
plug into equation
[tex]y=-\frac{1}{2} x+3[/tex]
Answer:
what she said
Step-by-step explanation:
What is the slope of the line ?
Answers
Answer:
-3
Step-by-step explanation:
A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .
Answers
Answer:
The student made an error in step 3
Step-by-step explanation:
Answer:
The student made an error on C. Or step 3.
Step-by-step explanation:
The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?
If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.
Answers
Answer:
1. 18 girls
2. 5 girls will be added to maintain the same ratio of boys and girls
Step-by-step explanation:
1. Boys : Girls = 14 : 12
14 + 12 = 26, 39/26 = 1.5
Boys: 14 x 1.5 = 21
Girls: 12 x 1.5 = 18
21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.
2. Boys : Girls = 14 : 12
14 : 12
7 : ?
14 - 7 = 12 - ?
7 = 12 - ?
12 - 7
= 5
If there is any wrong, Please correct me or reply to me!
Maria lines up fabric squares in rows to make a quilt. She uses the same repeating pattern for all the rows. The rule is "Red, White, Blue, White, Floral." If there are 125 quilt squares in the quilt, how many floral quilt squares will Maria need? Enter your answer in the box.
Answers
Answer: 15
Step-by-step explanation:
the patern is
red
white
blue
white
floral.
So in each group of 5, we have one floral quilt square.
now, in 125 quilt squares, we want to find the number of groups of 5 that we can make with thos 125 quilt squares.
This is 125/5 = 15
So we have 15 groups of 5 quilt square.
And we know that in each of those groups, we have one floral quilt square.
So we have a total of 15*1 = 15 floral quilt squars.
Answer: 25
Step-by-step explanation: 125 quilt square in group of 5
125/5 = 25
Each group of 5 os 1 floral quilt so there are 25 floral quilts in total
I need help guys this time it is 6 points cuz I'm poor so PLZ help I really need it !!!!!!!!
Answers
Answer:
Answer is option d mark as brainiest give 100 point
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answers
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
En un informe se dice que la temperatura minima pronosticada es de -24°C y la maxima de -20°C . Si la temperatura minima representa mas frio que la temperatura maxima,¿no deberia figurar al reves?. Expliquen su respuesta.
Answers
Answer:
Check Explanation
Step-by-step explanation:
English Translation
In a report it is said that the predicted minimum temperature is -24 ° C and the maximum is -20 ° C. If the minimum temperature represents colder than the maximum temperature, should it not appear on the reverse? Explain your answer.
Solution
No, it shouldn't appear on the reverse. This is because, just as negative numbers work, they decrease, the further we move away from 0.
Celsius temperature scales are calibrated with respect to the freezing point of water. The freezing point of water serves as the reference point and is called the 0°C.
Temperatures higher than the freezing point of water taken on positive values and temperatures lower, take on negative values. The lower the temperature, the bigger the absolute value of the negative value is.
For example, just like In the question provided, -24°C represents a temperature that is 24° lower than the freezing point of water while -20°C represents a temperature that is 20° lower than the freezing point of water. It is evident that -24°C really is a lower temperature than -20°C.
Hope this Helps!!!
a crew is setting up a zip line between two towers with support wires as shown in the figure (not to scale). they only know the heights of the towers and the angles that two of the supports make with the ground. what is the length of the zip line?
Answers
Answer:
length of the zip line = 121. 63 ft
Step-by-step explanation:
The length of the zip line AB forms a triangle ABC. To find the length AB we need to know the length of 2 sides of the triangle an angle.
Triangle ADC
We need to find the hypotenuse side AC using the SOHCAHTOA principle.
Therefore,
sin 41° = opposite/hypotenuse
opposite = 65 ft
sin 41° = 65/AC
cross multiply
0.65605902899 AC = 65
divide both sides by 0.65605902899
AC = 65/0.65605902899
AC = 99.0764506359 ft
AC ≈ 99.08 ft
Triangle BCE
We are looking for side BC. The triangle BCE is also a right angle triangle so we use the same methodology like the triangle ADC.
sin 62° = opposite/hypotenuse
opposite = 85 ft
sin 62° = 85/BC
cross multiply
BC sin 62° = 85
BC = 85/sin 62°
BC = 85/0.88294759285
BC = 96.2684543086
BC ≈ 96.27 ft
The angle ACB can be gotten when you subtract 62° and 41° from 180 (angle on a straight line).
Therefore,
∠ACB = 180° - 62° - 41°
∠ACB = 77°
Now let us use the cosine law to find the zip line AB.
c² = a² + b² - 2ab cos C
a = 96.27 ft
b = 99.08 ft
c² = 96.27² + 99.08² - 2 × 96.27 × 99.08 cos 77°
c² = 9267.9129 + 9816.8464 - 19076.8632 cos 77°
c² = 19084.7593 - 19076.8632 × 0.22495105434
c² = 19084.7593 - 4291.36049041
c² = 14793.398810
square root both sides
c = √14793.398810
c = 121.628116856
c ≈ 121. 63 ft
length of the zip line = 121. 63 ft
Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 inches, a width of 6 inches, and a height of 6 inches.
A prism has a length of 8 inches, width of 6 inches, and height of 6 inches.
What is the volume of water in the tank while Misaki is cleaning it?
O 10 Inches cubed
O 36 Inches cubed
O 144 Inches cubed
O 288 Inches cubed
Answers
Answer:
144 Inches cubed
Step-by-step explanation:
8 × 6 × 6 = 288.
288 / 2 = 144.
you multiply to get the original volume then divide by 2 because the tank is only half full.
Answer:
d
Step-by-step explanation:
i said
Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment
Answers
Answer:
Down payment is $258
Installment price is $1766.22
monthly payment is $83.79
Step-by-step explanation:
Down payment is 15% of $1,720 which is $258 (15%*$1720)
Monthly payment can be computed using pmt formula in excel
=pmt(rate,nper,-pv,fv)
rate is the interest rate per month which 4%/12=0.33%
nper is the number of months of payments that is 18
pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)
fv is the total finance amount plus interest which is unknown i.e 0
=pmt(0.33%,18,-1462,0)=$ 83.79
installment price =down payment +total repayment
=$258+($83.79*18)=$1766.22
The cost of hot drinks in a café is shown:
Cappuccino
£2.40
Latte
£2.60
Hot Chocolate £3.00
Coffee
£2.00
Tea
£1.80
Sue buys a cappuccino, a latte, 2 coffees and a tea.
How much will the drinks cost in total?
Answers
Answer:
10.8
Step-by-step explanation:
2.40+2.60= 5
2.00(2)+1.80=5.8
5+5.8= 10.8
laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?
Answers
Answer:
84 dollars
Step-by-step explanation:
use x to represent the amount of money Laura had when she started shopping.
use y to represent the amount of money she had left after buying a pair of shorts.
You can create these two equations:
3/4x=y
2/3x=42
now, subsitute the value of y into the second equation.
2/3(3/4x)=42
1/2x=42
x=84
Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)
Answers
A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
189 watched TV
163 hung out with friends
29 watched TV and ate pizza, but did not hang out with friends
49 watched TV and hung out with friends, but did not eat pizza
36 hung out with friends and ate pizza, but did not watch TV
30 watched TV, hung out with friends, and ate pizza
60 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Your Answer:
Answers
Answer:
95 people ate pizza
Step-by-step explanation:
Add the ones highlighted
For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?
Answers
Answer:
40 students per bus
Step-by-step explanation:
147 (Og #)-27(Number riding cars, irrelevant)=120
120/3 (# of buses)= 40 students per bus
Answer:
40 students
Step-by-step explanation:
First, let’s find how many students rode the buses.
There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.
The difference between 147 and 27 will be how many took buses.
Subtract 27 from 147
147-27=120
120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.
120/3=40
Therefore, 40 students were on each bus.
Rosie needs to buy balloons and tablecloths for her party. Each balloon costs $1.50 and each tablecloth costs $2.25. She cannot spend more than $30.00 on balloons and tablecloths for the
party. Write an inequality to represent the possible number the balloons and tablecloths that Rosie can buy. Let'x' represent balloons and and represent the tablecloths
Answers
Answer:
1.50x + 2.25y ≤ 30
Step-by-step explanation:
Hi, let’s say that 'y' represent the tablecloths.
So, we have to write an inequality:
The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)
Mathematically speaking:
1.50x + 2.25y ≤ 30
Feel free to ask for more if needed or if you did not understand something
Answer: The inequality can be written as 1.5x + 2.25y ≤ 30
Step-by-step explanation: What Rosie needs is an expression that shows the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.
Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.
The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;
1.5x + 2.25y ≤ 30
BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?
help meeeeeeeee fammmm
Answers
Answer:
30
Step-by-step explanation:
6 x 5 is 30.
The results of the woodlands middle school poll show that 20% of the students prefer to got o the aquarium and 50% of the teachers prefer to the aquarium
Answers
Answer: C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.
Step-by-step explanation:
The results of the poll showed that 50% of teachers preferred to go to the aquarium whilst only 20% of students prefer to go to the aquarium.
With 5 in every 10 teachers preferring to go to the aquarium and only 2 in every 10 students preferring the aquarium that is clear evidence that there are is a higher proportion of teachers wanting the aquarium than the students. This shows therefore that relatively speaking, teachers prefer the Aquarium more than students do.
The Answer is C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.
Step-by-step explanation:
I just did it
The number of customers rose from 118 on monday to 205 on tuesday. What is the percent increase to the nearest tenth of a percent
Answers
Answer:8
Step-by-step explanation:$4
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=20°, and XV = 58 feet. Find the length of VW to the nearest tenth of a foot.
Answers
Answer:
169.6
Step-by-step explanation:
We can use trig to find the missing side (sin specifically). sin(x)=opposite/hypotenuse. where x is the angle. VWX is 20 degrees. The side opposite to that angle is VX or 58. We dont know the hypotenuse. If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse. sin(20) in the calculator is 0.342020143... so we can rewrite the equation as 0.342020143=58/hypotenuse. Lets call the hypotenuse h. If we multiply h on both sides, we can try to find what h is equal to. 0.342020143h=58. Now we can divide 0.342020143 on both sides to isolate h. h=169.58... or if we round it, we get 169.6
Find the height of a prism with volume 720cm3 and base area 45cm2
Answers
Answer:
The height is 16 cm
Step-by-step explanation:
It's just v/b
720/45=16
The height is 16 cm
Find the area
Please help me thank you!
Answers
Without measuring angles what is the measure of angle A′ OB ′?
Answers
Answer:
That isn’t possible
Step-by-step explanation:
Pls help me answer this if ur good at algebra. Thanks .
Answers
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
Select The decimal that is equivalent to 7/8
Answers
Answer:
0.875
Step-by-step explanation:
look at the fraction as a division problem
8÷7
The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:
Answers
Answer:
The median is NOT the same thing as a quartile.
The median is a measure of center.
Circle M is shown below. AB is tangent to the circle at point A. The radius of a circle M is 15. JB = 10. DF = 18. AC = 10.
Answers
Answer:
e
Step-by-step explanation:
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answers
Answer:
one
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
False
Step-by-step explanation:
3/4 = 9/16
Multiply the left side by 4/4 to get a common denominator
3/4*4/4 = 12/16
This is not equal to 9/16 so this is not a proportional relationship
Answer:
False
Step-by-step explanation:
3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.
Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.
