Answer:
x = 83.7 units
Step-by-step explanation:
given adjacent: 56, given angle: 48°, asked to find hypotenuse, x?Using cosine rule:
→ adjacent/hypotenuse = cos(∅)
→ 56/hypotenuse = cos(48)
→ hypotenuse = 56/cos(48)
→ hypotenuse = 83.7 units
Answer:
83.7
Step-by-step explanation:
We can solve this using SOHCAHTOA:
RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.
[tex]cosQ = \frac{RQ}{SQ}\\ cos(48) = \frac{56}{x}\\ x = \frac{56}{cos(48)}\\ x = 83.7[/tex]
There are three different companies that are willing to provide the hot dogs.
• Company A charges $15 toevery 25 hot dogs, plus a cooking fee of $65.
• Company B charges $7 for every 14 hot dogs, plus a cooking fee of $62.
• Company C charges $22 for every 50 hot dogs, plus a cooking fee of $57.
Based on the number of hot dogs needed in question 5, what company will charge you the least amount of money? How do you know?
Answer:
Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.
Step-by-step explanation:
Company A: y = -3/5x + 65
Company B: y=1/2x + 62
Company C: 11/25x + 57
Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.
Company A: 64.4 (if x = 1)
Company B: 62.5 (if x = 1)
Company C: 57.44 (if x = 1)
if x = 10
Company A: 59
Company B: 67
Company C: 61.4
(I might be wrong since I'm 14)
Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.
What is the image of the point (-4,7) after a rotation of 180° counterclockwise
about the origin?
(-4,7) 180 counterclockwise is
(4,-7)
Rewrite x1/2 in radical form.
A. √x
B. √x2
C. 1/√x
D. -√x
Answer:
we can write [tex]x^{\frac{1}{2} }[/tex] as [tex]\sqrt{x}[/tex] in radical form. { fact }
3,108 + 5,468 6987 +907
Answer:16470
Step-by-step explanation: I don’t know if there all adding together cause there’s not much information
Answer:
54,691,002
Step-by-step explanation:
The cylinder below has a volume of 2,5 12 cm3
and a height of 2 centimeters. What is the
diameter of the cylinder? Use 3.14 for pi.
Answer:
Radius=10cm
Diameter=20cm
Hope this helps :))))
pls help me on this question people are just putting the answer as I don't know plsssss help me
Answer:
322 ft²
Step-by-step explanation:
Trapezoid area formula:
[tex]A=\frac{a+b}{2} *h[/tex]
Given:
a = 11
b = 35
h = 14
Work:
[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]
Answer:
322 ft^2
Step-by-step explanation:
for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height
(35+11/2)*14= 322
Joe used a total of 4 and 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving?
Write your answer as a mixed number in simplest form.
Answer: 5 & 7/10 hours
Work Shown:
4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75
total gas used = (gas used per hour)*(number of hours)
4.75 = (5/6)x
(5/6)*x = 4.75
x = (6/5)*4.75
x = 5.7
x = 57/10
x = (50+7)/10
x = 50/10 + 7/10
x = 5 + 7/10
x = 5 & 7/10
CAN SOMEBODY PLEASE HELP ME ASAP!!!! will mark brainliest
Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. What will be the area of a cover in square inches?
Answer:
103.5
Step-by-step explanation:
The area is the height times width, and 4.5 times 23 is 103.5.
what is the solution to 2h + 8 > 3h - 6
Answer: H<14
Expelnation:2
h
+
8
>
3
h
−
6
8
>
h
−
6
(subtract
2
h
from both sides)
14
>
h
(add
6
to both sides)
or
h
<
14
Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?
Answer:
Tessa receives £60
Step-by-step explanation:
The ratio is 5:3 so 5+3=8 which is then what you use to divide 96
96/8=12
12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60
Answer:
60£Step-by-step explanation:
Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?
96 : (5 + 3) = 12
12 * 5 = 60
I need help!!!!!!!!!!
Answer:
less
greater
less
greater
A car travels 10 km southeast and
then 15 km in a direction 60° north of
east. Find the magnitude of the car's
resultant vector.
[?] km
Round to the nearest tenth.
[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]
A car travels 10 km southeast and then 15 km in a direction 60° north of east[tex]\bold{\underline{ To\: Find }}[/tex]
We have to find the magnitude of the car of resultant vector[tex]\bold{\underline{ Let's \: Begin }}[/tex]
Here,
In South east, car travels = 10kmIn North of east, it travels = 15kmAngle between south east and north east is 60°Therefore,
According to parallelogram law of resultant vector
If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.
That is,
[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]
But, we have to calculate the magnitude of the resultant vector
[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]
Subsitute the required values,
[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]
[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]
[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]
[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]
[tex]\sf{ | R | = \sqrt{485 }}[/tex]
[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]
Hence, The magnitude of the car resultant vector is 22.02 km.
can you help me pls?
Answer:
true? i think
You rent an apartment that costs $1200 per month during the first year, but
the rent is set to go up $90 per year. What would be the monthly rent during
the 6th year of living in the apartment?
Answer:
In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6
Step-by-step explanation:
1200x12=14,400 = year 1
1290x12=15,480=year 2
1380x12=16,560=year 3
1470x12=17,640=year 4
1560x12=18,720=year 5
1650x12=19,800=year 6
The monthly rent during the 6th year of apartment is A = $ 1,650
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on
On simplifying the equation , we get
Therefore, during the 6th year of living in the apartment, the monthly rent would be:
A = $1200 + ($90 x 5)
A = $1200 + $450
A = $ 1,650
Hence , the monthly rent is A = $ 1,650
To learn more about equations click :
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#SPJ2
Piper invested $4,700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, , would be in the account after 19 years?
Answer:
$ 11699.69
Step-by-step explanation:
reply asap!! will give brainliest if i can
Answer:
-1/2d + f
Step-by-step explanation:
cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions
Help please how do i do this problem
Answer:
Choose any number to be the variable x, then multiply it by 13.2 for your answer.
Step-by-step explanation:
Choose a number for the variable x, and put it in the box with parentheses.
Then, multiply it by 13.2 for your final answer, and put it in the open box.
Hope this helps. Btw, can I have Brainliest? PLEASE PLEASE PLEASE?!
When A is -3, is b or c greater
Answer:
c letter is correct I think....
1. Which of the following is NOT a possibility
for a system of two linear equations?
a. having no solution
b. having one solution
c. having two solutions
d. having infinitely many solutions
Answer:
c. having two solutions
Answer:
C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations
Write the equation of the line that has a slope of 3/4 and yintercept of -7
Answer:
y= 3/4x -7
Step-by-step explanation:
equation of a line
y= mx+b
the slope is m
and the y intercept is b
in this case it would be
y= 3/4x -7
Answer:
Step-by-step explanation:
y = mx + b
y = 3/4x - 7
Hope this helps!
A rectangle 9cm long is equal in area to a square which has a perimeter of 24cm. Find the width of the rectangle
Answer:
4cm
Step-by-step explanation:
:)
Which list of points are solutions to the graph of y = 1/2x - 2
Answer:
B) (20,8) , (30,13) , (40,18)
Step-by-step explanation:
To check: (20,8)
y = 1/2x - 2
8 = 1/2(20) - 2
8 = 10 - 2
8 = 8
This is true, which makes our point true.
To check: (30,13)
y = 1/2x - 2
13 = 1/2(30) - 2
13 = 15 - 2
13 = 13
This is true, which makes our point true.
To check: (40,18)
y = 1/2x - 2
18 = 1/2(40) - 2
18 = 20 - 2
18 = 18
This is true, which makes our point true.
Hope that helps!
Help me
solve this equation pls
x - -4 = -6
Answer:
x= -10
Step-by-step explanation:
[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]
Answer:
[tex]=> \: x = - 10[/tex]
Step-by-step explanation:
=> x - -4 = -6
=> x -( -4 )= -6
=> Collect like terms
=> x = -6 -4
[tex]=> \: x = - 10[/tex]
Theo saved $20 of his allowance money to buy art supplies. He bought a box of oil pastels for $6.20 and then spent ⅓ of the remaining money on new paintbrushes.
How much money did Theo have remaining/left after buying oil pastels?
Answer:
$13.80
Step-by-step explanation:
if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80
HELP ME what is the slope of a line y=20x
Answer:
20
Step-by-step explanation:
This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20
Can y’all please help me with this question . I need the answer ASAP!!
Answer: This is the answer to your equation sorry I had to do It on a doc
Answer:
-4
-4
1
-8
1
Step-by-step explanation:
[tex]x^2-4x-8=0[/tex]
Comparing [tex]ax^2+bx+c=0[/tex]
⇒ a = 1, b = -4 and c = -8
Substituting these values into the quadratic formula:
[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]
(The numbers you need to fill in the blanks are in bracket)
What is the length of the midsegment of this trapezoid?
Answer:
7 units
Step-by-step explanation:
the distance between -2 and 4 on the x axis is 7
and then i found the middle point and tried to find the length of it on the y axis
QUICK!! I need help on this Equation. I will make you Brainlist!!!
12. Arithmetic
xn = a + (n-1) d
n = 5 (three aritmetic, 4 and 12)
Input the value:
12 = 4 + 4d
8 = 4d
d = 2
the value: 4, 6 , 8 , 10 , 12
13. Arithmetic
xn = a + (n-1) d
n = 4 (two aritmetic, 4 and 19)
Input the value:
19 = 4 + 3d
15 = 3d
d = 5
the value: 4, 9 , 14 , 19
14. geometric
[tex]\tt a_n=ar^{n-1}[/tex]
n = 4 (two geometric, 2 and 54)
input the value:
52 = 2r³
r = 3
the value: 2, 6, 18, 54
15. geometric
[tex]\tt a_n=ar^{n-1}[/tex]
n = 4 (two geometric, 5 and 40)
input the value:
40 = 5r³
r = 2
the value: 5, 10, 20, 40
In triangle ABC, EP=4. What is PC?
Answer:
PC = 8
Step-by-step explanation:
BF and CE are medians of the triangle.
On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then
PC = 2 × EP = 2 × 4 = 8
The values StartRoot 12 EndRoot and StartRoot 15 EndRoot are plotted on the number line. A number line going from 0 to 4. StartRoot 12 EndRoot is to the right of 3, and StartRoot 15 EndRoot is to the right of StartRoot 12 EndRoot. What is the approximate difference in tenths between StartRoot 12 EndRoot and StartRoot 15 EndRoot? 0. 2 0. 4 1. 5 1. 7.
Approximate difference between √12 and √15 on plotted number line is 0.4. Option B is the correct option.
What is the number line?The number line is the way of representation of number and digits in an arranged form to understand the data batter.
The number line going from 0 to 4. √12 is to the right of 3, and √15 is to the right of √12. Therefore, the arranged value on the number line appears as,
3, √12, √15
In the number line given, the value of √12 is near 3.4 and the value of √15 is near 3.8. The difference between both the values is,
[tex]d=3.8-3.4\\d=0.4[/tex]
The approximate difference in tenths between √12 and √15 on the plotted number line is 0.4. Option B is the correct option.
Learn more about the number line here;
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Answer:
its c 28
Step-by-step explanation: