Answers
12.1 yd
Step-by-Step Explanation:12.14 yd; round and get 12.1 yd
Related Questions
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Answers
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
⅚–⅓ what is the answer to this fraction
Answers
Answer:
5×3-6×1/6×3=15-6/18=9/18=9
Answer:
5/6-1/3
taking LCM
(5-2)/6=3/6=1/2 is your answer
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answers
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
Answers
17b + 2.97 = 34.76
17b = 31.79
b = $1.87
A bag of raisins is $1.87
what is this question called?
Answers
Answer:
It should be Ratio and Proportions .
Answer:
Step-by-step explanation:
a proportion. Both ratios are the same thing. If you divide 15000 by 30 you get 500
If you divide 210 by 30, you get 7
It is always true that a proportion will have equal equal ratios on either side of the equal sign.
factorise the following
[tex] \frac{ {e}^{2} }{25} - \frac{ {f}^{2} }{36} [/tex]
Answers
Answer:
A pastry shop has fixed costs of
$
280
per week and variable costs of
$
9
per box of pastries. The shop’s costs per week in terms of
x
,
the number of boxes made, is
280
+
9
x
.
We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.
280
+
9
x
x
Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.
Simplifying Rational Expressions
The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.
x
2
+
8
x
+
16
x
2
+
11
x
+
28
We can factor the numerator and denominator to rewrite the expression.
(
x
+
4
)
2
(
x
+
4
)
(
x
+
7
)
Then we can simplify that expression by canceling the common factor
(
x
+
4
)
.
x
+
4
x
+
7
Answer:
Step-by-step explanation:
Use the identity : a² - b² = (a + b )(a - b)
25 and 36 should be written in the form raised to power 2
25 = 5 * 5 = 5²
36 = 6 * 6 = 6²
[tex]\frac{e^{2}}{25}-\frac{f^{2}}{36}=\frac{e^{2}}{5^{2}}-\frac{f^{2}}{6^{2}}\\\\=(\frac{e}{5})^{2}-(\frac{f}{6})^{2}\\\\=(\frac{e}{5}+\frac{f}{6})(\frac{e}{5}-\frac{f}{6})[/tex]
Terry Clayton has an open-ended lease for an SUV. The lease costs $421.38 for 48
months. He paid a $2,500 deposit, an $85 title fee, and a $235 license fee. At the end of the lease, he can buy the vehicle for its $15,644 residual value. What is the (a) total
amount of payments, and (b) total cost of the lease?
Answers
Answer:
Terry Clayton tiene un contrato de arrendamiento por tiempo indefinido para un SUV. El arrendamiento cuesta $ 421.38 por 48
meses. Pagó un depósito de $ 2,500, una tarifa de título de $ 85 y una tarifa de licencia de $ 235. Al final del arrendamiento, puede comprar el vehículo por su valor residual de $ 15,644. ¿Cuál es (a) la
cantidad total de pagos y (b) el costo total del arrendamiento?
Step-by-step explanation:
Find the value of the expression 10x/y - x when x =4 and y =8
Answers
Step-by-step explanation:
step 1. 10x/y - x when x = 4, y = 8
step 2. 10(4)/8 - 4
step 3. 40/8- 4
step 4. 5 - 4
step 5. answer: 1
Please help, I’ll mark you as brainliest!!!!!
Answers
Answer:c
Step-by-step explanation:
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
Answers
plz help me check if its right its kinda hard :(
Answers
Answer:
It is correct actually.
Step-by-step explanation:
141 + 39 = 180
Yeah, that's correct
Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.
25+2(3 x 4) - 7=???
Show ur works please
Answers
Answer:
42
Step-by-step explanation:
25+2(12)-7
25 + 24 - 7
49 - 7
42
[tex] \huge \color{Red} Answer: [/tex]
[tex]25 + 2(3 \times 4 ) - 7 = [/tex]
[tex]25 + 2 \times 12 - 7 = [/tex]
[tex]25 + 24 - 7 = [/tex]
[tex]49 - 7 = 42[/tex]
[tex] \huge \color{Blue} Explaination: [/tex]
First, Multiply the numbers inside the parentheses.
Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.
Third, Follow the left to right rule so add 25 and 24.
Lastly, Subtract the last number.
[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]
Follow left to right rule. Also the PEMDAS rule like:If you see a Parentheses do them first then Exponent next Multiplication and so forth.
[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]
P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - SubtractionLearn with an example
If a town with a population of 1,000 doubles in size every 7 years, what will the population be
14 years from now?
people
Submit
Answers
image down below if it is correct i will give brainliest
Answers
Answer:
it would be 17 im positive
Step-by-step explanation:
.
Answer: A) 8
Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest
What is the slope for (-2,1) and (7,1)
Answers
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
I need help with this one please
Answers
Answer:
plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing
Step-by-step explanation:
Plot the data first using the results above, so u can draw the line,
Then u can answer the questions, if the line goes through all the points its proportional, vice versa
Sixth grade
R.
Are the ratios 5:10 and 2:4 equivalent?
Answers
Yes, 5:10 and 2:4 are equivalent.
5:10 (simplified) = 1:2
2:4 (simplified) = 1:2
Hope this helps; have a great day!
Answer:
Yes
Step-by-step explanation:
5:10 is equivalent to 2:4
Both can be simplified to 1:2
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answers
Answer:
(-4, -5)
Step-by-step explanation:
can someone plz help asap question is in pic (its about graphs)
Answers
Answer:
-4,0 and 6.
Step-by-step explanation:
f(x) = 0 is when y = 0.
If you look at the graph, there are 3 instances when y = 0
and it happens when x = -4, x = 0 and x = 6.
Therefore, the solutions of f(x) when y =0 are -4,0 and 6.
What type of function can be used to model the scenario?
Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.
Linear
Exponential
Quadratic
2. What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Linear
Exponential
Quadratic
Answers
Answer:
1. Exponential
2. Linear
Step-by-step explanation:
1. Exponential
Principal = 15000
Rate, r = 6.5% compounded annually
A = P(1 + r)^t
A = 15000(1 + 0.065)^t
A = 15000(1.065)^t
2. Linear
Let initial amount in bank = x
Amount added per week = 2
Number of weeks or period = t
A = x + 2t
Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. ∠ measures 27.42° and the measure of DE is 73.18°. Determine the measure of BC.
Answers
Answer:
BC = 18.34°
Step-by-step explanation:
Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)
Thus:
m<BAC = ½(DE - BC)
27.42° = ½(73.18 - BC) => Substitution
Multiply both sides by 2
2*27.42 = 73.18 - BC
54.84 = 73.18 - BC
BC = 73.18 - 54.84
BC = 18.34°
Find all zeros f(x) =x^4-x
Answers
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
Please help.
Simplicity
Answers
Answer: -10x+38
Step-by-step explanation:
Take your given equation
-2(3x-5)+4(7-x)
Distribute the -2 and 4 into the parenthesis'
-6x+10+28-4x
Combine like terms
-10x+38
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answers
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18
hiii help me please please pleasee
Answers
Answer:
a; d = 20n
Step-by-step explanation:
you can use the process of elimination and an example problem to help!
so if mason mowed 2 lawns, he'd make $40, right? now you could try each equation to see which one equals $40
a. d = 20(2) ⇒ d = 40
b. n = 20d ⇒ 2 = 20d ⇒ d = 0.1
c. d = 20 ÷ n ⇒ d = 10
d. n = 20 + d ⇒ 2 = 20 + d ⇒ d = -18
therefore, your answer would be A!
Acellus
Find the indicated side of the
triangle.
b
a
30°
12
12
[?]
a
Enter
Answers
Answer:
a = [tex]\frac{12}{\sqrt{3} }[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )
a = [tex]\frac{12}{\sqrt{3} }[/tex]
What expression has the same meaning as 2 7/4
Answers
Step-by-step explanation:15/4 also means 2 7/4 if that's what you mean.
Answer:
it s b) 4 2 the power of 7
Step-by-step explanation:
Karen has $36.08. She bought a book for $8.65 and 2 records for $7.65 each. How much did she spend?
Answers
Answer:
She would have 12.13 cents left over
Step-by-step explanation:
Answer: The answer is $23.95
Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answers
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
2y to the power of 4 x 5y to the power of 3
Answers
Answer:
(2•5y to the 7th power)
Step-by-step explanation:
Step 1: (2y to the 4th power • 5) • y to the 3rd power
Step 2: (2•5y to the 4th power) • y to the 3rd power
Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power
Final answer: (2•5y to the 7th power)
The expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
What is Multiplying Exponents?When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.
What is multiplication of exponents with same base and different power?When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
According to the question
[tex]2y^{4} * 5y^{3}[/tex]
Now,
Using the multiplying exponent rule :
the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
Therefore,
As, base y is common in both the terms
= 10[tex]y^{4+3}[/tex]
= 10[tex]y^{7}[/tex]
Hence, the expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
To know more about multiplying exponent here:
https://brainly.com/question/219134
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