Answer:Clyde is 49.74 away from the harbor
Step-by-step explanation:
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
Solve system by elimination -9x - y =-19
5x + y = 15
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
find the scale factor
Answer:
1/3
Step-by-step explanation:
To get the scale factor , we have to divide the lengths of the similar sides on both shapes
What we have to do here is to divide the left length of each
we have this as 6/18 since they both represent the length
we have this as 1/3
Which choice is equivalent to the quotient below square root 32/ square root 8
Answer:
there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]
The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
What is the square root of any number?
The square root of any number is equal to a number, which when squared gives the original number.
What is an equivalent expression?Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
According to the given question.
We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]
Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by
[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]
⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]
Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
Learn more about equivalent fraction here:
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Find the diagonal of a rectangular frame which measures 77 in. by 36 in.
Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
Aline segment may have more than one midpoint.
A. True
B. False
Answer:
False
Step-by-step explanation:
Because it not possible
it can't so false
Step-by-step explanation:
false it cant cause its not possible
Find the volume. Leave answer in exact form (in terms of π)
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
Find the surface area and volume for each of the following:
Answer:
mark brainlist..............
if x = 2 is a solution to the system shown below, then what must be value of b?
y = 7x + 4
y = 3x + b
——————————————-
(1) 5
(2) -4
(3) -17
(4) 12
thank you in advance for anyone that helps answer this :))
Answer:
(4). 12
Step-by-step explanation:
3 to the power 10=
Pls answer fast
The answer is 59049.
Kuaaahahahahahahahah!
At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?
Answer:
$5200
Step-by-step explanation:
Given :
Amount invested, Principal, P = $5000
Interest rate, r = 4% = 4/100 = 0.04
Amount in account at the end of the year, A
period, t = 1 year
Using the relation :
A = P(1 + rt)
A = $5000(1 + 0.04*1)
A = $5000(1 + 0.04)
A = $5000 * 1.04
Amount in account at year end = $5200
Please help me!! I don’t underatsnd
Answer:
23°
Step-by-step explanation:
13x + 154 = 180
13x = 26
x =2
~~~~~~~~~~~~
6(2) + 11
12+11 =23
Father bought x sweets.(x-4) were eaten by the children and 20 were left. How many sweets did thier father bought?
Answer:
24
Step-by-step explanation:
x = total sweets bought
total sweet eaten = x - 4
sweets left = 20
x - 4 = 20
combine like terms
x = 20 + 4
x = 24
A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice
Answer:
80/243
or
.329218107
Step-by-step explanation:
This is a binomial distribtuion
THe probability of red= 1/3
the probability of not red= 2/3
Probability of getting exactly 2 reds in 5 spins
[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]
or
80/243
Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80
Respuesta:
7
Explicación paso a paso:
Dado :
Último minuto por día = 5 minutos
Número de retrasos = 3 días
Número total de minutos tarde = (30 * 5) = 150 minutos
Cargo por multa por pago tardío por hora = 2,80
Total de horas tardías = 150 minutos / 60 = 2,5 horas
Cargo total por multa por mora = 2.80 * 2.5
Cargo total por multa por mora = 7
Can someone help me with this math homework please!
Answer:
Last answer.
Step-by-step explanation:
What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.
Find the value of x for the right triangle.
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
Does anyone know the answer to this math question?
Answer:
sorry i don,t know but i am finding
if i get then i hep you
Step-by-step explanation:
thanks and have nice day
HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW
Answer:
your correct
Step-by-step explanation:
Answer:
I think the one you have answered is correct.
What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"
Answer:
Read below.
Step-by-step explanation:
The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.
A proportion is setting two ratios equal.
If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.
For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.
By the order of the letters in ABC and XYZ, you can conclude that
side AB corresponds to side XY
side AC corresponds to side XZ
side BC corresponds to side YZ
Since the lengths of corresponding sides are in the same ratio, so you can further conclude that
the length of AB is to the length of XY as
the length of AC is to the length of XZ as
the length of BC is to the length of YZ
Mathematically, you can write the previous three lines as the proportion
AB/XY = AC/XZ = BC/YZ
i need help
measure of each labeled angle
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]Here is a circle, centre 0, and the tangent to the circle at the
point (-7, 24) on the circle.
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 24.
Answer:
[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]
Step-by-step explanation:
The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.
The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is
[tex] m_r = \dfrac{24 - 0}{-7 - 0} [/tex]
[tex] m_r = -\dfrac{24}{7} [/tex]
The slope of the tangent is the negative reciprocal of the slope of the radius.
[tex] m_t = \dfrac{7}{24} [/tex]
The tangent contains point (-7, 24).
y = mx + b
[tex] 24 = \dfrac{7}{24}(-7) + b [/tex]
[tex] 24 = -\dfrac{49}{24} + b [/tex]
[tex] \dfrac{576}{24} + \dfrac{49}{24} = b [/tex]
[tex] b = \dfrac{625}{24} [/tex]
The equation of the tangent is
[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]
An equation of the tangent at the point P is y=7/24 x+625/24.
Given that, here is a circle, center O, and the tangent to the circle at the point (-7, 24) on the circle.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.
The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is m= (24-0)/(-7-0)
= -24/7
The slope of the tangent is the negative reciprocal of the slope of the radius.
So, slope =7/24
The tangent contains point (-7, 24), so 24=7/24 (-7)+24b
⇒ 576=-49+24b
⇒ b=625/24
Now, with m=7/24 and b=625/24, we have
y=7/24 x+625/24
Therefore, an equation of the tangent at the point P is y=7/24 x+625/24.
To learn more about the slope intercept form visit:
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Classify the following triangle. Check all that apply.
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?
1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5
Answer:
c
Step-by-step explanation:
it just is
Amanda has six more than four times the number of crayons that Clyde has. (write the equation)
Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6Pretty please helppplp!!!!!!
Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
Answer:
so your answer is -6
Step-by-step explanation:
[tex]\frac{(x^2^5)^-^6}{(x^-^3)^4^8}[/tex] Did i write the equation right? If so you would multiply the exponents
x^-150 x^144
---------- so you then flip the two and get ----------
x^-144 x^150
then you would subtract the exponents like this 144-150= -6
SOMEONE PLEASE HELP ME!
3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.
Answer:
74 mph
Step-by-step explanation:
The driver started driving at s mph.
After 3 hours, the speed became s + 10 mph.
The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.
speed = distance/time
distance = speed * time
distance = (distance driven at speed s) + (distance driven at speed s + 10)
894 = s * 3 + (s + 10) * 8
3s + 8s + 80 = 894
11s + 80 = 894
11s = 814
s = 74
Answer: 74 mph
A tourist has TT $7875. She spends TT $2310 and changed the remaining Trinidad and Tobago currency to Canadian currency. Calculate the amount of money she received if the rate is CAN $1.00 = TT $3.5 *
Answer:
CAN $1590
Step-by-step explanation:
Below is the given values:
Tourist has money = TT $7875
Spending = TT $2310
Remaining money = 7875 - 2310 = TT $5565
The Canadian currency she has = TT $5565 / TT $ 3.5
The Canadian currency she has =CAN $1590
The amount of money she will receive after converting into Canadian dollars = CAN $1590
