The number of gallons of paint needed to paint the entire fence is 26.4 gallons.
Area of rectangleLength = 33 mWidth = 2 mArea = length × width
= 33 m × 2 m
= 66 square meter.
A gallon of paint = 2.5 m²Number of gallons of paint needed = 66 square meter / 2.5 m²
= 26.4 gallons
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Assume that A TUVE AWXY. Which of the following congruence statements
are correct? Check all that apply.
A. ZX=ZU
B. ZY ZV
C. VU = YX
D. TV = WY
E. ZWE ZV
F. ZTE ZX
Congruent triangles are exact copies of each other. The correct options are 1, 2, 3, and 4.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
The following details about the two given congruent triangles TUV and WXY can be written,
[tex]\rm m\angle T = m\angle W \: or \: \: \angle T \cong \angle W\\\\\rm m\angle U = m\angle X\: or \: \: \angle U \cong \angle X \\\\\rm m\angle V = m\angle Y \: or \: \: \angle V \cong \angle Y \\\\\rm |TU| = |WX| \: \: or \: \: TU \cong WX\\\\\rm |VU| = |YX| \: \: or \: \: VU \cong VU\\\\\rm |TV| = |WY| \: \: or \: \: TV \cong TV[/tex]
Hence, the correct options are 1, 2, 3, and 4.
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Answer: A,,B, C, D
Step-by-step explanation:
Rafael purchased a video game for 35.60.if he gave the cashier 40 how much change will he get
Answer:
4.4
Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40
[tex] \frac{1 }{4 } \times \frac{3}{4} \div \frac{10}{3} [/tex]
What is the answer to the above equation?
Answer:
Step-by-step explanation:
Solution
This (after combining the top 2 fractions, is a 4 tier fraction.
1/4*3/4 = 3/16
So the question now becomes 3/16 ÷ 10/3
The rule for such a question is invert (turn up side down) the second fraction and multiply.
3/16 * 3/10 Combine
(3*3)/(16* 10)
9 / 160
0.05625
[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]
Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]
Do the multiplications in the fraction 1 × 3 / 4 × 4.
[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]
Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.
[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]
Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]
Do the multiplications in the fraction 3 × 3 / 16 × 10
[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Directions: Read, analyze, and choose the letter of the correct answer. Write your
answer in your notebook.
1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?
A. 20 OC B. 20 OF C. 40 OC D. 40 OF
2. Convert: 5da = _______hr
A. 300 B. 240 C. 120 D. 60
3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?
A. 56 B. 560 C. 5 600 D. 56 000
4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?
A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?
A. 37 B. 37.5 C. 40.56 D. 45.56
1) The normal room temperature is said to be about 20°C
2) 5 day is equivalent to 120 hr
3) 756 m³/s is equivalent 56000 L/s
4) It would take the snail 5 hours to crawl 75 m
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1) The normal room temperature is said to be about 20°C
2) 1 day = 24 hr
5 day = 5 day * 24 hr per day = 120 hr
3) 1 m³ = 1000 L
756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s
4) 1 m = 100 cm
75 m = 7500 cm
Time = 7500 / (25 cm/min) = 300 min = 5 hours
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y = 1/4x + 5, (−1, 6)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = 1/4x + 5, (−1, 6)
we can plug in the point (−1, 6)
6 = 1/4(-1) + 5
6 = -1/4 + 5
6 = 4.75
6 does not equal 4.75 so this point is not on the line
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PLEASE HELP!
Which of the following is the graph of the piecewise function f (x) =
(photos attached)
The graph first represents the provided piecewise function option first is correct.
What is a piecewise function?The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]
[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]
[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
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Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
Answer:
There are no "following values" in the problem.
Step-by-step explanation:
ƒ(x) = -2x + 3
For any value of X, enter that number in the equation and calculate f(x) [y].
For example, if x is 2:
ƒ(x) = -2x + 3
ƒ(2) = -2(2) + 3
y = -2(2) + 3
y = -4+3
y = -1
The ordered pair for when x=2 would be (2,-1)
Please help I will mark brainliest!!!!!
Answer:
#1 (4b + 6a) #2 150y
Step-by-step explanation:
#1 :area of right triangle: ab/2
4x2/2 = 4b
area of rectangle: length x width
2 x 3 = 6a
#2:
5y + 2.5y = 7.5y x 2 = 15y
so the top and bottom are both 15 y
the sides are each 5y so thats 10 y
15x10= 150y
1. If x³ +3x²-4=0 has x=-2 as a root (zero), find the other two roots.
Answer:
1 and -2 (has a multiplicity of 2)
Step-by-step explanation:
so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division
-2 | 1 3 0 -4
-2 -2 4
1 1 -2 0
(x+2)(x²+x-2)
Now you can factor the quadratic into
(x+2)(x-1)
x+2 = 0
x = - 2
x-1 =0
x = 1
PLEASE HELP IT IS DUE AT 11:15
Answer:
35, 31, 25, 18
Step-by-step explanation:
10 x 7/2 = 35
10 + 7 + 14 = 31
8 1/3 x 6/2 = 25
4 1/3 + 5 1/3 + 8 1/3 = 18
What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show all necessary steps.
The remainder of the polynomial equation is -49
What is a remainder of a polynomial equation?The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.
From the given information, we are to find the remainder of the given algebraic equation:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]
Using the long division method, we have:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]
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Hey need help on this question. Could I have a simple explaination please as I find it difficult to understand things
Answer:
y = 1.5x + 1
Step-by-step explanation:
→ Choose 2 points
( 2 , 4 ) ( -2 , -2 )
→ Find the gradient
-6 ÷ -4 = 1.5
→ Write into format
y = 1.5x + c
→ Substitute in ( 2 , 4 )
4 = 3 + c
→ Minus 3 from both sides
1 = c
y = 1.5x + 1
How much of a radioactive kind of francium will be left after 44 minutes if you start with 2,616 grams and the half-life is 22 minutes?
Step-by-step explanation:
sorry but I dont know
Answer: 654 grams
Step-by-step explanation:
that's the answer it gave it when I got it wrong.
5. Which of the following linear equations is expressed in slope-intercept form.
2y = 8x - 1
x = 2y + 3
y = 4x - 2
2x + 3y = 6
Answer:
The third option: y=4x-2
Step-by-step explanation:
Slope-intercept form formula is: y=mx+b
First option is not correct because it has a number before the y value.
Second option is not correct because x is on the left of the equal side instead of the right.
Third option is correct.
Fourth option is not correct because it is written in standard form.
Hope this helps!
If not, I am sorry.
The expression for the nth term of a sequence is 4n+6
What are the first three terms in the sequence? Give your answers in
order.
Answer:
10, 14, 18
Step-by-step explanation:
We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.
HELP ASAP!
Consider right triangle DEF below.
The trigonometric relation is solved and the length of side DE is given by the relation DE = 3.8 ( tan 40° )
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔEFD
Now , the measure of side EF = 5 units
The measure of side DF = 3.8 units
And , from the trigonometric relations , we get
tan θ = opposite / adjacent
On simplifying , we get
tan 40° = DE / DF
Multiply by DF on both sides , we get
DE = 3.8 ( tan 40° )
Hence , the trigonometric relation is solved
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2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶
value of n?
Answer:
[tex]n = 14[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]
Can someone help me with this, it’s geometry and it’s so confusing
Answer:
Draw a line from one point A to B into the XY line in a angle
Draw a line parallel to the lines
Point a dot in the middle and name it O
Step-by-step explanation:
Hope it helps
Answer: 5 x 4/7
Full explanation.
Answer:
20/7
Step-by-step explanation:
5×4/7
numerator5×numerator4=20
denominator 7×denominator1=hence,answer is
20/7
y is directly proportianal to x when y is 30 x is 6. work out the equation connecting y and x
Answer:
Step-by-step explanation:
Solution
The general equation for this kind of problem is
y = k x
30 = k * 6 Divide both sides by 6
30/6 = 6k/6 Combine
5 = k
So the connection between x and y is that to get a value for y, you must divide it by 6.
oas on a callable bond is 75 basis points using on-the-run treasuries as benchmark rates. which is correct?
When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.
What is a bond?It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.
Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.
It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.
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NEED HELP WITH THIS ASAPP PLEASE HELP RN!!
Answer:
See attached image
Step-by-step explanation:
Please Someone help with this !!!
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]\tan 45^{\circ} = \dfrac{\sin 45^{\circ}}{ \cos 45^{\circ} }\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin\left(90^{\circ} - 45^{\circ} \right)}\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin 45^{\circ}}\\\\\\~~~~~~~~~~=1[/tex]
You work for a lending institution and are tasked with whether or not to approve a home loan, using the standard 28/36 ratio. the loan application is for $230,000. you see that the applicant has an annual salary of $83,000. the applicant also has a car payment of $315, a student loan of $140 and a boat loan of $96. how likely are you to approve the loan? a. very likely; recurring debt is considerably less than what is allowed. b. somewhat likely; recurring debt is very close to what is allowed. c. not likely; recurring debt is higher than what is allowed. d. there is not enough information given to determine the answer.
You work for a lending institution and are tasked with whether or not to approve a home loan, its Somewhat likely; that recurring debt is very close to what is allowed. Option B.
What is recurring debt?Generally, any payment that is utilized to repay debt obligations that occur on a continuous basis is said to be recurrent debt.
In conclusion, Recurring debt consists of payments that cannot be readily canceled at the request of the payer. Examples of this kind of debt include alimony, child support, and loan installments.
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Answer:
its B
Step-by-step explanation:
A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.
A hexagon is shown. The hexagon is comprised of 2 congruent isosceles trapezoids. The bases of the trapezoid have lengths of 5 and 8. The height of the trapezoid is 3.
The volume of the prism is 234 cubic units. What is the height of the prism?
3 units
4 units
6 units
8 units
Answer:
the answer is 4 units im pretty sure
Step-by-step explanation:
The height of the prism is 6 units.
The correct option is C.
What is a prism?A prism is a polyhedron in three dimensions with two identical ends.
To find the height of the prism, we need to use the formula for the volume of a prism, which is:
Volume = Base area x Height
Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.
The area of an isosceles trapezoid is given by the formula:
Area = ((b1 + b2) / 2) x h
where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.
In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:
Area = ((5 + 8) / 2) x 3 = 19.5 square units
The base area of the prism is then:
Base area = 2 x 19.5 = 39 square units
We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:
Volume = Base area x Height
234 = 39 x Height
Height = 6 units
Therefore, the height of the prism is 6 units.
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factorise the expression as fully as possible 10xsquared -5x
Answer:
5x(2x - 1)
Step-by-step explanation:
Factor 10x^2 - 5x:
Then: 10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms
Answer:
[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]
Step-by-step explanation:
If we look at all of the terms in this binomial, we can see that they both have 5x in common. We can now factor 5x out of the equation to get our answer.
To do this, we must divide both terms by 5x.
[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].
So, our final answer is [tex]5x(2x-1)[/tex].
Find the rate of change of the linear function shown in the graph. Then find the initial value.
rate of change is change in y / change in x
(-1 - -3)/ (0 - -6) = 2/6 = 1/3
initial value is the y value when x is 0 , which is -1
A biologist watches and records the number of hippos that visit a particular
watering hole over a 30-day period. What method is the scientist using to
collect data?
OA. Observational study
OB. Survey
C. Control
D. Experiment
The correct answer is option A which is Observational study.
What is an observational study?This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).
The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).
Therefore the correct answer is option A which is Observational study.
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It takes two points to define a plane.
Answer:
In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.
Step-by-step explanation:
please mark me brainlist and follow me
9)
Josh rounded the number 36 796 to the nearest ten, to the nearest hundred, to the nearest
thousand, and to the nearest ten-thousand.
Which two roundings should have produced the same number?
Answer:
800 is the answerrrr....