Answers:
cos(A) = 0.8480
tan(B) = 1.6
=============================================
Explanation:
Before we can compute cos(A), we'll need to find the hypotenuse.
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 5^2 = c^2
89 = c^2
c^2 = 89
c = sqrt(89)
The hypotenuse is exactly sqrt(89) units long.
This will allow us to find the cos(A) value
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 8/sqrt(89)
cos(A) = 0.84799830400509 which is approximate
cos(A) = 0.8480 when rounding to four decimal places
-------------------------
For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 8/5
tan(B) = 1.6
Which of the following numbers must be added to complete the square in the
equation below?
x^2 +9x+15 = 11
A.-81/4
B.9/2
C.81/4
D. 81
Answer:
C
Step-by-step explanation:
Take the coefficient of the linear term and divide it by 2
9/2
Then square it 81/4
That should either be added to the 11 or subtracted from the 15.
The answer is C
Angles of Triangles Scavenger Hunt Answer Key
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
Find the slop help please
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
Plsss help!!!!!!!!!!!
How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000
Show all 4 steps of the following:
x - 3/5= 1/6
Answer: x=23/30
Step-by-step explanation: Hope this help :D
Write the equation of a circle with a center at (-12, -11) and a radius of 7.
let h=-12, k=-11 then
(x-h)^2 + (y-k)^2= r^2
(x+12)^2 + (y+11)^2 = 7^2
x^2 + 24x + 144 + y^2 + 22y + 121 = 49
x^2 + y^2 + 24x + 22y + 144+121-49= 0
x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq
What is the volume of this triangular prism
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
Find the perimeter of the figure
Answer:
no.6 is 22in. while in no.7 is 18cm
plzzzzzzzz help for a brainly
Answer:
35
Step-by-step explanation:
the answer is 35 because a straight line is 170° and 135+35 is 170
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
How many packs of pens does the manufacturer make, and how many pens are left over?
Answer:
1408 packs
2 pens left over
Step-by-step explanation:
5634 / 4 = 1,408.5
half a pack is 2 pens
1408 packs
2 pens left over
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
To solve more questions on mortgage loans, visit the link below -
https://brainly.com/question/28865502
#SPJ1
Need help!!!!!!!!!!!!!!!!
Answer:
x=35
y=72.5
Step-by-step explanation:
Answer:
x=35 , y=72.5
Step-by-step explanation:
I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out
2y + 35 = 180
Minus 35 from both sides
2y = 145
Then we can divide 2 from both sides
y = 72.5
Then we test for x
2y + x = 180
Plug in y
145 + x = 180
Minus 145 from both sides
x= 35
There's your answer! I hope I cleared up any confusion
How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15
Answer:
b
Step-by-step explanation:
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
please answer 4 - 9 will mark brainlyist
There are 180 degrees in a triangle
4. 38+38= 76 degrees
180-76=104
Isosceles, Obtuse
5. 65+ x+x=65
Well we know one of the x
It is 90 degrees because it is a right angle
65+90=155
180-155=25
Scalene, Right triangle
6. 71+45= 116
180-116=64
7. Scalene, acute
8. 126+22=148
180-148=32
Scalene, Obtuse
9. 50+90=140
180-140=40
Right angle, Scalene
Please let me know if i got anything wrong
. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
George was riding his bike by some construction, and apparently got a nail in his tire. 5 days later he realized that the tire was losing air, and at that time it had a pressure of 52 pounds per square inch (PSI); he didn t have time to x it then, and then 8 days after getting the nail the pressure was down to 46 PSI.
(a) Write a linear equation giving the tire pressure (P) in pounds per square inch in terms of the number d of days since he got the nail in his tire.
Answer:
P(d) = 62 - 2d
Step-by-step explanation:
P = pound per square inch
d = days
(52 - 46) / 3 = 2
46 + 2 * 8 = 62
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
ANSWER FAST
NO LINKS
23=x-13
9+x=14
12=x+8
Answer:
23=x-13, x=36
9+x=14, x=5
12=x+8, x=4
Step-by-step explanation:
23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36
9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.
12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.
If this has helped please mark as brainliest
help me pleaseeeeeeeeeeeeeeeeeeeee
Answer:
3 X 1/2
Step-by-step explanation:
I started by eliminating C and B because of adding and subtraction in the problem.
Answer:
3 x 1/2
Step-by-step explanation:
there are 3 groups of 1/2