Answer:
5.7 unit
Step-by-step explanation:
From the question,
Applying pythagoras theorem,
a² = b²+c²....................... Equation 1
From the diagram.
a = /QX/, b = /XR/, c = /RQ/
Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.
Substitute these values into equation 1
a² = 4²+4²
a² = 16+16
a² = 32
a = [tex]\sqrt{32}[/tex]
a = 5.7 units
Hence, QX = 5.7 units
20/22 is the tangent value of which reference angle
Answer:
X
Step-by-step explanation:
Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side
So, for 20/22; 20
is the opposite while 22 is the adjacent
The opposite side simply refers to the side that faces the given angle
We have the opposite side here as facing the angle X and that makes X the correct answer
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
one can of waterproofer covers 100 square feet. you want to apply two coats of waterproofer to the wooden crates. How many cans of waterproofer do you need?
Answer:
Hello! its 1
Step-by-step explanation:
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
find the greatest value of x
Answer:
30°
Step-by-step explanation:
if correct pls mark brainliest
The sales tax on clothing in Louisiana is 4% . Calculate how much tax you need to pay on a dress if it costs $19.50 before before tax. Round your answer to the nearest cent.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
20 points! Please help me out here!
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
in the equation shown, what is the value of x?
Answer:
5^8/5^x=5^6 the asnwer is 2
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
Max has sticks of lengths 6, 7, 8, and 10 inches. He wants to make a right triangle for an art project. Which 3 sticks should he use? 6 in., 7 in., and 8 in. 6 in., 7 in., and 10 in. 6 in., 8 in., and 10 in. 7 in., 8 in., and 10 in.
Answer:
6in, 8in and 10in
Step-by-step explanation:
For a right angled triangle :
The hypotenus, thee longest side in The triangle should be :
Hypotenus = sqrt((opposite² + adjacent²))
The most appropriate from the option would be :
6in, 8in and 10in
Hypotenus = sqrt((6² + 8²))
Hypotenus = sqrt(36 + 64)
Hypotenus = sqrt(100)
Hypotenus = 10
Answer:
C. 6 in., 8 in., and 10 in.
Step-by-step explanation:
Just did it on edge
Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
Question 4
.1 The ratio of boys to girls at an athletics practice is 4:3. There are 49 athletes in total at the
practice. How many boys were at the practice?
2 In a maths class, the girl to boy ratio is 7:5. If there are 20 boys,
how many girls are in the class?
B A car travels from Polokwane to Mokopane at a speed of 100 km/h.
If Mokopane is 150 km from Polokwane, how long will the trip take?
[7]
estion 5
Answer:
1) 28
2) 28
B) 1 and 1/2 hr
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
What is the distance between (5, -6) and (2, -6) on a coordinate plane?
Answer:
3 units is the answer..
hope it helps
#1: Find the volume of the cylinder below. Use 3.14 for . Round your answer to the nearest tenth, if necessary. *
Answer:
Volume of Cylinder=πr²h
22/7*2/1*2/1*5/1=
440/7=62.857 to nearest tenth
62.860, if u like u put the zero.
This is from my algebra class, can anyone can answer this?
Answer:
y = (x + 1)^2 + 2
Step-by-step explanation:
The graph is 2 units up and 1 unit to the left
a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right
Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?
Find the measure of angle B
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
To learn more about the confidence interval;
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Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6 
Answer:
try 28.4 inches to the 3rd power
Step-by-step explanation:
The average petrol consumption of a vehicle is 1 gallon per 35 km. The cost of 1 litre of petrol is $49. Fund the cost of petrol for a journey of 280 km.
(take 1 gallon=4.5 litres)
Step-by-step explanation:
Total petrol consumption of the journey=
Total distance travelled ÷ Average petrol consumption
[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]
Given 1 gallon = 4.5 litres,
[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]
Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol
[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]
HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!
the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3
slant height is
[tex]\sqrt{r^2+h^2}[/tex]
h is 4.7 and r is 3
[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]
slant height is 5.58427
lateral surface area
[tex]\pi r\sqrt{h^2+r^2}[/tex]
[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]
lateral surface area is 52.63053
total surface area
[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]
[tex]80.90486[/tex]
total surface area is 80.90486
The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
In the given question radius of the cone is (6/2) km = 3 km.
The slant height of the cone is 5.6 km.
The total surface area of the cone is = π×3(3 + 5.6) km.
= 3π(16.8) km.
= 50.4π km.
lateral surface area is = π×3×5.6 km.
= 16.8π km.
learn more about cones here :
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