The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Question:
Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)
B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Answer:
A) 16.64 Feets
B) 7.65 feets
Step-by-step explanation:
Given the following :
The question above can be solved by applying Pythagoras rule :
A^2 = B^2 + C^2
PR² = PQ² + QR²
PR² = 14² + 9²
PR² = 196 + 81
PR = √277
PR = 16.64feet
Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:
QR² = PR² - PQ²
QR² = 16² - 14²
QR² = 256 - 196
QR² = 60
Take the Square root of both sides
QR = √60
QR = 7.7459666 Feets
somebody help me I’m struggling
Answer:
A. $ (5 + 2x), B. = $ 305
Step-by-step explanation:
x miles
A. cost for x miles = 5 + 2x ($)
B. cost for 150 miles = 5 + 2*150 =305 ($)
Answer:
A. let the mile driven = x
5 + 2x
B. × = 150 mile
taxi service = $5 + $2(150)
= $305
*in an equation u dont have to write the symbol . for example, $, ml, km, etc.
In RST, the measure of
Answer:
5.2 feet.
Step-by-step explanation:
The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).
From SOH CAH TOA, we see that we have O and H, so thus we should use sine.
Sine of any angle= opposite/hypotenuse.
Sine of 64= x/5.8
Sine of 64 (times 5.8)=x
x= 5.2 feet.
Additionally, you could use a right triangle calculator to solve for side x.
Answer:
Step-by-step explanation:
sin 64=x/5.8
x=sin64* 5.8
x=0.92*5.8
x=5.3
How many litres of water (round to the nearest hundredth) can be poured into a tin can that has a diameter of 18 cm and a height of 0.3 m?
Answer:
Step-by-step explanation:
Diameter = 18cm
18 / 2 = Radius
Radius = 9cm
Formula: A=2πrh+2πr^2
2 x pi x 9 x 0.3 + 2 x pi x 9^2 = 525.90261
Nearest hundredth = 525.90
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
[tex] \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
[/tex]
Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for the correct calculation of velocity?
Answer:
Direction
Step-by-step explanation:
poop
PLEASE HELP FOR A COOKIE
If the ratio of RS/ST=5/7, find the value of x, RS, RT.
RS=2x+9
ST=4x-15
What part of the circumstance is an arc whose measure is 30
Answer:
1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.
Step-by-step explanation:
what is a cofunction
Answer:
A cofunction is whenever A and B are completmentary angles.
Step-by-step explanation:
Answer:
Step-by-step explanation:
pls hep for the brainliest
Answer:189.25 cm 189.3 cm if rounded to one decimal point
Step-by-step explanation:
You need to find the area of the rectangle, then the area of 1/2 the circle.
Rectangle Area =
L x w =
10 x 15 = 150cm
Circle Area =
A=πr^2 =
Diameter = 10, so radius = 5
π(5)^2 = 25π = (25)(3.14) = 78.5
Area of 1/2 Circle = 78.5/2 = 39.25
150 + 39.25 = 189.25 cm
Solve for x.
Use the completing the square method.
4x2−7x−8=0
Round decimals to the nearest tenth.
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
Write the vertex form for x^2 +6x +2. *write your answer as y= ()^2
Answer:
y = (x + 3)² - 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
To obtain this form use the method of completing the square
Given
y = x² + 6x + 2
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 2
= (x + 3)² - 7
If f(x) = 4x + 5, determine the value of f(−3) .
Answer:
F(x)= -7
Step-by-step explanation:
f(-3)=4(-3)+5
F(-3)= - 12 + 5
F(x)= -7
Hope this helps
Answer:
f(-3)= -7
Step-by-step explanation:
To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.
f(x)=4x+5
Therefore, we can substitute -3 in for x.
f(-3)=4(-3)+5
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
Multiply 4 and -3
f(-3)=-12+5
Add -12 and 5
f(-3)= -7
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers) If Ramiro stops using his credit card, how long will it take him (in months) to pay off the $500.00 if he makes only the minimum payment?
Answer: It will take approximately 30 months to pay off the $500.00.
Step-by-step explanation:
Since we have given that
Principal = $10.00
Amount = $500.00
Rate of interest = 18.24%
So, we will apply "Compound interest" to find the number of months:
[tex]A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5[/tex]
So, the number of months would be
[tex]2.5\times 12=30\ months[/tex]
Hence, it will take approximately 30 months to pay off the $500.00.
PC=PD then (PA)PC)=(PB)(___)
Answer:
PD is the answer
Step-by-step explanation:
(PA) (PC) = (PB) (PD)
Which of the following are not polynomials?
Answer:
A B and D but don’t quote me on it
Step-by-step explanation:
The formula for the volume of a cone is V=1/3bh
Solve V=1/3bh
for b, the base of the cone.
Answer:
b = 3Vh
Step-by-step explanation:
When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.
V = 1/3bh
(V)(3) = (1/3bh)(3)
3V = bh
(3V)/h = (bh)/h
3Vh = b
b = 3Vh
What is the missing justification?
Answer:
The missing justification is the transitive property.
Step-by-step explanation:
The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.
The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. The missing justification is the transitive property of equality.
What is the transitive property of equality?The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. For Example,
A = B and B = C, then,
A = C
Given ∠A≅∠B and ∠C≅∠B therefore, using the transitive property of equality we can write ∠A≅∠C.
Hence, the missing justification is the transitive property of equality.
Learn more about Transitive Property:
https://brainly.com/question/2437149
#SPJ2
Please answer correctly !!!! Will mark brianliest !!!!!!!!
Answer:
(5x+2)(3x-2)
Step-by-step explanation:
15x^2-4x-4
= 15x^2+6x-10x-4
= 3x(5x+2) - 2(5x+2)
= (5x+2)(3x-2)
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....
if a=(-1, -3) and b=(11, -8) what is the length of ab?
Answer: D. The length is 13 units.
Step-by-step explanation:
(-1, -3 ) Find the difference between the x values and y values.
(11, -8)
-3-(-8) = 5
-1-11 = -12 now find the absolute values.
The absolute value of 5 is 5 . The absolute value of -12 is 12.
Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.
5^2 + 13^2 = C^2
25 + 144 = c^2
169=c^2
c= 13
Answer:
D. 13 Units
Step-by-step explanation:
I just took the test
Here are four equations connecting x and y.
kis a constant
Match each equation to one of the statements A B C or D.
Equation 1 Equation 2 Equation 3 Equation 4
y=kx
y=
Ay is directly proportional to x
By is directly proportional to x
Cy is inversely proportional to x
Dy is inversely proportional to x
View One Minute Version
Answer:
The answer is explained below
Step-by-step explanation:
y = kx
A) y is directly proportional to x
When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.
If y is directly proportional to x, and k is the constant it can be represented by the equation:
y = kx
y = k/x
C) y is inversely proportional to x
When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.
If y is inversely proportional to x, and k is the constant it can be represented by the equation:
y = k/x
Please help! Correct answers only please!
Answer:
5
Step-by-step explanation:
The check digit is the very last digit on the right, the one by itself
5
jdhdusndjskdbkanxjsidnw
Pls help, I will mark brainlessly and give 5 stars
Answer:
1.C 2.D
Step-by-step explanation:
Answer:
1 is C and 2 is D
Step-by-step explanation:
Solve the equation 2x-1=4x+5
Answer:
-3
Step-by-step explanation:
2x-1=4x+5
-1=2x+5
-6=2x
x=-3
Answer:
x = -3
Step-by-step explanation:
Solve for x:
2 x - 1 = 4 x + 5
Subtract 4 x from both sides:
(2 x - 4 x) - 1 = (4 x - 4 x) + 5
2 x - 4 x = -2 x:
-2 x - 1 = (4 x - 4 x) + 5
4 x - 4 x = 0:
-2 x - 1 = 5
Add 1 to both sides:
(1 - 1) - 2 x = 1 + 5
1 - 1 = 0:
-2 x = 5 + 1
5 + 1 = 6:
-2 x = 6
Divide both sides of -2 x = 6 by -2:
(-2 x)/(-2) = 6/(-2)
(-2)/(-2) = 1:
x = 6/(-2)
The gcd of 6 and -2 is 2, so 6/(-2) = (2×3)/(2 (-1)) = 2/2×3/(-1) = 3/(-1):
x = 3/(-1)
Multiply numerator and denominator of 3/(-1) by -1:
Answer: x = -3
Factorise 3x plus 6. Please nowwww answer
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor 3 out of 3x.
3(x)+6
Factor 3 out of 6.
3x+3⋅2
Factor 3 out of 3x+3⋅2.
3(x+2)
[tex](\frac{15x^{2}y }{8x} )(\frac{4y}{9xy} )[/tex]
Ms. bloom
has 15/16 of a pack of construction papers at her desk. Ms. White takes another 2 new packs of construction papers to the class for an art project. The students use 13/16 pack for the art project. How many packs of construction papers are left?
Answer:25
Step-by-step explanation:
you have to times 5 by 5
(−5 + 3i) ⋅ (1 − 2i)
Answer:
[tex] - 1[/tex]
Step-by-step explanation:
[tex](-5 + 3i) \times (1 - 2i) \\ ( - 5 + 6) \times (1 - 2) \\ ( 1) \times ( - 1) \\ = - 1[/tex]
Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
£30 for 5 litres and yellow paint costs £28 for 7 litres.
Lucy sells her green paint for £4.50 per litre. Will she make a profit? Show your working
to justify your decision.
Answer:
No, she won’t make a profit
Step-by-step explanation:
Here, we are interested in determining if Lucy made a profit or a loss.
The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter
The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter
Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.
This means that she mixed them the ratio as follows per liter;
For yellow, we have; 5/(5+2) = 5/7
For blue we have 2/(5+2) = 2/7
Now since a liter of yellow paint cost 4 pounds
5/7 of a liter will cost 5/7 * 4 = 20/7 pounds
For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7
The total cost in pounds in this;
20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place
Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss
El impuesto general a las ventas ( IGV ) en el Perú es 18%.Este porcentaje incrementa el precio de cualquier artículo en venta . Si en una factura figura el precio de una cocina en 590 soles , ¿ Cual era el precio de la cocina antes de que fuera afectado por el IGV
Answer:
o preço da cozinha era 106,20 reais.
Step-by-step explanation:
porque 590-16% e iqual a 106,20 reais
foi o retirar o IGV
