Answer: 7.3x + 5
Step-by-step explanation:
For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.
= 5.2x+8+2.1x-3
= 5.2x + 2.1x + 8 - 3
= 7.3x + 5
Therefore, the correct answer is 7.3x + 5
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Denise makes 132 cupcakes, how many dozen chocolate cupcakes does she make?
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
Work out the perimeter of an equilateral triangle with side length 2.7mm
Answer:
, so easy
Step-by-step explanation:
3×2.7mm=8.1mm
Answer:
8.1mm
Step-by-step explanation:
equilateral triangle all sides are equal.
If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm
Any help? Still learning this so it’s not of a problem. Thanks!
Which unit of mesurement is used to express distance on a map in Spanish speaking countries
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25
Answer:
Y=-3x-11y
Step-by-step explanation:
Not sure but I am pretty sure it is this
Find each value below.
Answer:
7.) x = 21
8.) y = 6
9.) angle F = 62 degrees
10.) TS = 10
Step-by-step explanation:
5y-2 = 28
5y = 30
y = 6
4x+6 = 90
4x = 84
x = 21
angle F = 90-28
angle F = 62 degrees
3z-8 = z+4
2z = 12
z = 6
TS = z+4 = 10
Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound
of candy.
Answer:
$0.88 per pound
Step-by-step explanation:
you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
A net of a rectangular pyramid is shown. The rectangular base has length 26 cm and width 24 cm. The net of the pyramid
has length 74.8 cm and width 71.8 cm. Find the surface area of the pyramid.
The surface area is
cm2 help
Answer:
kk
Step-by-step explanation:
no pic
Can someone please help me these are the questions. : Evaluate each numerical expression. Apply
operations you learned.
1.) 8 + 12 = 4
2). (3) 6 - 7
4.) 24 : 3 (4)
3.) (2) 3 + 4 (6)
5.) (5) 32
6.) 4 + 62 = 9
7.) 10 = 5 + 3 (7)
8.) 12 + (8 + 2)
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
HELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
Answer:
13m
Step-by-step explanation:
[tex]d=50tan(15)=13m[/tex]
The required distance from the boat to the foot of the light house, which is at sea level is 13meter
Given that,
The top of a light house 50 meters high,
The angle of depression of a boat out at sea has a measure of 15°.
We have to determine,
To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
According to the question,
The angle of depression may be found by using this formula = opposite/adjacent.
The opposite side in this case is usually the height of the observer or height in terms of location.
Therefore, angle of depression = 15degree
Height of the light house = 50m
The distance from the boat of the light house is denoted by d.
Then the distance from the boat of the light house is given as.
[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]
Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter
For more information about Trigonometry click the link given below.
https://brainly.com/question/2773823
BRAINLIEST FOR WHO ANSWERS CORRECTLY!!!! ASAP HELP (LOOK AT SCREENSHOT)
Answer:
e. 9 ft
Step-by-step explanation:
A new bank customer with $3,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.1%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
A. they will earn 385 dollars in interest in ten years
B. the accounts balance will be $3,885 after 10 years
Step-by-step explanation:
for part A, there are 2 possible answers, depending on what your looking for, if your looking for the percentage interest, then its 11%, but if your looking for how much they will make off of interest in 10 years, then the answer would be $385.
solve the equation P=b+c+a solve for b
Answer:
b = P - c - a
Step-by-step explanation:
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.
Answer:
10inches
Step-by-step explanation:
Let the length of one side of the square be a
If the diagonal of a square is 10√2 inches
According to pythagoras theorem
a²+a² = (10√2)²
2a² = 100(2)
2a² = 200
a² = 200/2
a² = 100
a = √100
a = 10
Hence the length of one side of the square is 10inches
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the altitude from the vertex angle. The length of each leg is 5
Answer:
base =5 because all angles=60, so an equilateral triangle
height=4.33
Step-by-step explanation:
height^2+1/2(5)^2=5^2
height^2+6.25=25
height^2=18.75
height=4.33
Find the indicated side of the triangle
Answer:
It's a 30-60-90 triangle so x=6
Step-by-step explanation:
Answer:
90 I think bc I saw the right angle
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
54in
Step-by-step explanation:
i took the test
Ted, the postman, has 110 letters to deliver. If Ted can deliver 10 letters in 5 minutes,
how long will it take Ted to deliver all his letters?
Answer:
55
Step-by-step explanation:
There are 11 tens in 110, so 11 times 5 is 55.
Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please
Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the area of the rectangle in this composite figure?
A. 23cm
B. 112cm
C. 23cm^2
D. 112cm^2
Answer:
it is b
Step-by-step explanation:
I will give brainliest. Please help fast! (Solve for number 5)
Answer:
the area of the parallelogram is 120 units
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°