Answer: The length is 7, the width is 3.
Step-by-step explanation:
7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.
7+7 is 14,
3+3 is 6
14 + 6 is 20 which is the perimeter.
In which triangle is the value of x equal to tan−1(StartFraction 3. 1 Over 5. 2 EndFraction)? (Images may not be drawn to scale. ).
The right-angle triangle shows this condition. Then the value of angle x is 30.80°.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The expression is given as
[tex]\rm x = \rm tan ^{-1} \dfrac{3.1}{5.2}[/tex].
We know that the tangent is the ratio of the perpendicular to the base of the right-angle triangle.
x will be the angle and the opposite side of the x will be the perpendicular of lengths 3.1 and 5.2 will be the base of the that is along the angle x.
The value of x is 30.80°.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Y’all please help
Find the missing length round to the nearest 10th if necessary
Answer:
c ≈ 70.7
Step-by-step explanation:
Solve using the Pythagorean theorem:
[tex]50^2 =50^2 = c^2[/tex][tex]2500 + 2500 = c^2\\[/tex][tex]5000 = c^2[/tex][tex]c = \sqrt{5000[/tex][tex]c = 70.71067811....[/tex][tex]c = \text{approx 70.7}[/tex]
-Chetan K
please solve 27-12p+p²
Answer:
p2 - 12p - 27
Step-by-step explanation:
mark me brainiest
Answer: ( P - 9 ) ( p - 3)
......Should be ur answer. have a wonderful day kind person!!!!!
please help me!!
Find the measure of x.
Round your answer to the nearest hundredth.
Answer:
x=3.42
Step-by-step explanation:
[tex] \sin(20) = \frac{x}{10} [/tex]
[tex]x = 10 \sin(20) = 3.42[/tex]
Answer:
x = 3.420 (to the nearest hundredth)
Step-by-step explanation:
Trig ratios:
sin(x) = O/H
cos(x) = A/H
tan(x) = O/A
where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse
We have been given:
angle = 20°
opposite side to angle = x
hypotenuse = 10
Therefore, we should use sin(x) = O/H
Substituting the above values into the trig ratio:
⇒ sin(20) = x/10
⇒ x = 10 sin(20)
⇒ x = 3.420 (to the nearest hundredth)
Tahia finds out that the cost of renting a car is $25 per day plus a one-time fee of $75.50. for insurance. How many days can the car be rented if the total cost is to be no more than $525?
A. Write an inequality to model the situation. Let represent the number of days the car is rented.
B. Solve and graph the inequality.
C. Interpret the solution in the context of the problem.
(I don't know why the names are like that)
Answer:
620.5 is correct due to my knowledge. :3
Step-by-step explanation:
How many numbers between 0 and 1000 end in 0. Not including 0 or 1000.
carlos sells 32 muffins at a bake sale. jake sells 25 fewer muffins. how many muffins does jake sell?
Answer:
Jake sells 7 muffins at the bake sale.
Step-by-step explanation:
If Jake sells 25 fewer muffins than Carlos, you must subtract the number of muffins Jake sells from the number of muffins Carlos sells.
32-25 = 7
What does p equal in 5(p-3)=63
Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 5(p-3) = 63}[/tex]
We are asked to find the value of p in the above equation.
First multiply (p-3) by 5 –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5 \times p - 5 \times 3 = 63[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - 15 = 63[/tex]
Now, add 15 to both sides –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p -15 +15 = 63 +15 [/tex]
Now, we can cancel 15 from Left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - \cancel{15 }+\cancel{15 }= 63 +15 [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p = 78[/tex]
Divide both sides by 5–
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{5p}{5} = \dfrac{78}{5}[/tex]
Cancel 5 from left side also cancel 78/5, which can be divided by 15.6.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{5}p}{\cancel{5}} =\cancel{\dfrac{ 78}{5}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow p = 15.6}[/tex]
Henceforth, value of p is 15.6.Given :
5(p – 3) = 63To Find :
The value of p.Solution :
[tex]\qquad\sf{ { \dashrightarrow{ 5(p - 3) = 63}}}[/tex]
Using Distributive property, we get :
[tex]\qquad\sf{ { \dashrightarrow{ 5p - 15 = 63}}}[/tex]
Now, Transposing (-15) to the right side, which then becomes positive :
[tex]\qquad\sf{ { \dashrightarrow{ 5p = 63 + 15}}}[/tex]
[tex]\qquad\sf{ { \dashrightarrow{ 5p = 78}}}[/tex]
Dividing 5 from both sides we get :
[tex]\qquad\sf{ { \dashrightarrow{ \dfrac{5p}{5} = \dfrac{78}{5} }}}[/tex]
[tex]\qquad\bf{ { \dashrightarrow{ p = 15.6 }}}[/tex]
⠀
Therefore, the value of p = 15.6 .I need help with no.7
Answer:
(a) 315°
(b) 3°
(c) 238°
Step-by-step explanation:
Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.
(a)The bearing of P from R is 180° different from the bearing of R from P it will be ...
135° +180° = 315° . . . . bearing of P from R
__
(b)The bearing of Q from R is 48° more than the bearing of P from R, so is ...
315° +48° = 363°, or 3° . . . . bearing of Q from R
__
(c)The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...
180° -48° -55° = 77°
The bearing of Q from P is 77° less than the bearing of R from P, so is ...
135° -77° = 58°
As above, the reverse bearing from Q to P is ...
58° +180° = 238° . . . . bearing of P from Q
i need to multi-step function inverse, photo will be included
Answer:
inverse: [tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]
explanation:
Given: f(x) = [tex](x^5 +5)^{\frac{1}{3} }[/tex]
let f(x) be y
y = [tex](x^5 +5)^{\frac{1}{3} }[/tex]
To find inverse, make x the subject.
[tex]y^3 = x^5 + 5[/tex]
[tex]y^3 - 5 = x^5[/tex]
[tex]x = \sqrt[5]{y^3 - 5}[/tex]
change signs:
[tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]
(6/4-2/4)•(2-1/2)=? Con solucion
Answer:
[tex] \frac{1}{2} [/t
Step-by-step explanation:
[tex]( \frac{6}{4} - \frac{2}{4} ) \times (2 \times \frac{1}{2} )[/tex]
[tex]( \frac{6 - 2}{4} ) \times ( \frac{2 - 1}{2} )[/tex]
[tex] \frac{4}{4} \times \frac{1}{2} [/tex]
[tex] \frac{1}{2} [/tex]
Can someone help me please i’ll will give brainiest
Answer:
[tex]y = (5 + x)^2[/tex]
Step-by-step explanation:
"The square of the sum of x and 5 is equal to y."
Let's use our clue words that indicate what our equation will be.
Let's start easy, equal to y.
y =
Now let's look at the rest of the sentence minus the phrase we just used.
The square of the sum of x and 5.
The sum of x and 5 goes first,
x + 5
and since we are looking for the square of x + 5:
(5 + x)^2
therefore,
[tex]y = (5 + x)^2[/tex]
Answer:
square of y looks like y2
five times y2is written 5y2
square of x looks likes x2
usually, a mathematical expression is written in alphabetical order x2+5y2
Kayla-
HOPE I GET BRAINLIEST!
there are 3 yellow marbles and 8 orange marbles in a bag. you randomly choose one of the marbles. what is the probability of choosing a yellow marble?
Answer:
there is a 3/11 chance or a 27.272727272% chance
PLS HELP I CANT FAIL THIS
Answer:
it would be the first one!
Step-by-step explanation:
4. What property justifies the work done in Line 3?
Line 1: 2c + 3C -22 = 78
Line 2: 5c - 22 = 78
Line 3: 5c - 22 + 22 = 78 + 22
Line 4: 5c = 100
Line 5: C = 20
O Subtraction Property of Equality
Commutative Property of Addition
o Associative Property of Addition
Addition Property of Equality
Answer:
Addition Property of Equality
Step-by-step explanation:
Addition Property of Equality.
The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.
given the table, write the equation in the slope-intercept form
Answer:
y=2x+6
Step-by-step explanation:
Slope intercept form is:
y=mx+b
m: slope
b: y-intercept
We can start by solving for the slope. The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):
[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]
y=2x+b
Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):
y=2x+b
6=2(0)+b
6=0+b
b=6
Therefore the equation is:
y=2x+6
work out the total area of glass needed to make the container
ill give brainliest for best answer
Answer:
15200 cm²
Step-by-step explanation:
from inspection of the diagram, we can see that the prism comprises:
2 congruent triangles1 base rectangle2 congruent side rectanglesTriangle
Area of triangle = 1/2 x base x height
Given:
base = 60 cmheight = 40 cm⇒ area = 1/2 x 60 x 40 = 1200 cm²
Base rectangle
Area of a rectangle = width x length
Given:
width = 60length = 80⇒ area = 60 x 80 = 4800 cm²
Side rectangle
Area of a rectangle = width x length
Given:
width = 50length = 80⇒ area = 50 x 80 = 4000 cm²
Total area = 2 triangles + base rectangle + 2 side rectangles
⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²
can you help me please?
Answer:
93
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.
What is the slope for these points (2,0.5), (6,1.5), (10,2.5), and (14,3.5)
Answer:
1/4 or .25
Step-by-step explanation:
y value is increasing by 1 between each point while x is increasing by 4
slope = rise over run or 1/4 in this case
The figures are similar. Find x.
Answer:
x=15
Step-by-step explanation:
divide 20 by 8 and you get 2.5
multiply 2.5 by 6
Solve for x. 3 (x-4) < x-5
Answer:
x < 7/2
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
A. MO/SA = OE/AW
Step-by-step explanation:
A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.
Hope this helps! :)
Im so confused please helpp
Answer:
x=115
Step-by-step explanation:
I hope this helps you!!
if you studied for 10 hours last week but studied only 4.5 hours this week, by what percent did your time spent decrease from last week to this week?
122.2% decrease
55.0% decrease
40.5% decrease
32.1% decrease
Answer:
55
Step-by-step explanation:
55% = 5.5 hours. 4.5+5.5= 10 hours.
Please help with this
The organization of the numbers in the triangles would look like this from top to bottom and from right to left: 2, 8, 4, 9, 3, 5, 7, 6, 1.
How to organize the numbers?To organize the numbers we must take into account the final result that the sections highlighted in color, green, red and yellow, must add.
A key to being able to organize the numbers correctly was taking into account that the largest numbers could not be in the same section because they would add up to more than the required final number, 22.
According to the above, the distribution of the numbers was carried out in the following way and all the results coincide:
Red section:
2 + 4 + 9 + 6 + 1 = 22
Green section:
2 + 4 + 8 + 5 + 3 = 22YellowSection:
3 + 5 + 7 + 6 + 1 = 22Learn more about sums in: https://brainly.com/question/13013054
FInd x and y
I think 5x+3 means the entire measure of the bottom left angle
Answer:
y = 6°
x = 19.4°
Step-by-step explanation:
Use alternating interior angles
The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.
58+100+3y+4 = 162 + 3y
162 + 3y = 180
3y = 18
y = 6
The two base angles are equal because the two lines are parallel
5x + 3 = 100
5x = 97
x = 19.4
Hope this helps :)
Have an awesome day!
Given the lengths of two sides of a triangle. write an inequality to indicate between which two numbers the length of the third side must fall. 8 and 13. 11.5 and 23.6. 22 and 15. 13.2 and 6.7. and 23 and 44. answer for each of the problems like __< 3 rd side<__
Answer:
1. 5 <3rd side<21 2. 12.1<3rd side<35.1
Step-by-step explanation:
Answer:
1: 5 < 3rd side <21
2: 12.1< 3rd side < 35.1
3: 7<3rd side < 37
4: 6.5 < 3rd side 19.9
5 : 21 < 3rd side 67
Step-by-step explanation:
For example you have 5 and 10
you take 5 + 10 to get your side and you do
the biggest number - the smaller number to get the _ <3rd.
So if you have 5 and 10 you know that it would be 5 < 3rd side < 15
candy had some money. she bought a drink for £1.45 and a piece of cake for £1.20 she now has two thirds of her money left. how much money did candy to start with? i suck at fraction
The amount of money Candy started with after spending on drinks and cakes is £7.95
How to find the amount of money she started with?She bought a drink for £1.45 and a piece of cake for £1.20.
She has two thirds of here money left.
Let the money she has initially = x
Therefore,
2 / 3 x = x - 1.45 - 1.20
2 / 3 x = x - 2.65
subtract x from both sides
2 / 3 x - x = - 2.65
2x - 3x / 3 = - 2.65
- x / 3 = - 2.65
cross multiply
-x = - 2.65 × 3
- x = -7.95
x = £ 7.95
Therefore, Candy started with £7.95
l
earn more on amount here: https://brainly.com/question/16969113
#SPJ2
Pls help me with this question i cant figure it out
Answer:
5
0.1
10
10
Step-by-step explanation:
|actual temp - estimate| = |50 - 45| = |5| = 5
5/50 = 0.1
0.1 × 100 = 10
10
What is the slope of the line?
8x-6y=18
Answer: y=4/3x -3
Therefore the slope is 4/3
Step-by-step explanation:
distribute your x to the other side and divide
Answer:
4/3
Step-by-step explanation:
8x-6y=18
-6y=18-8x
divide all terms by -6
y=-3+4x/3
y=4x/3 -3
y=4/3x -3
slope 4/3