smaller --- x
larger ---- x+10
x(x+10) = 56
x^2 + 10x = 56
x^2 + 10x + 25 = 56 + 25
(x+5)^2 = 81
x+5 = 9
x=4
one is 4, the other is 14
Hope this helps you!
Answer:
x=33 ; y=23
Step-by-step explanation:
Given that x+y=56 and x-y=10
Solve for either variable.
x=y+10
Substitute, replace, your solved variable in the other equation
(y+10)+y=56 Subtract 10 on both sides
2y=46 Divide by 2
y=23 Substitute answer into a given equation
x+23=56 Subtract 23 on both sides
x=33
a cottage is on a bearing of 200° and 110° from Dogbe's and Manu's farm respectively. If Dogbe walked 5km and Manu 3km from the cottage to their farm, find and correct to 2 s.f the distance between the two farms and correct to the nearest degree, the bearing of Manu's farm from Dogbe's
PLEASE NOTE: DOGBE AND MANU ARE NAMES
Based on the drawing obtained from the description, the location of
Manu's farm is located relatively south to Dogbe's farm.
The distance between the two farms is approximately 3.8 kmThe bearing of Manu's farm from Dogbe is approximately 238°Reasons:
The bearing of the cottage to Dogbe's farm = 200°
The distance Dogbe walks from the cottage to his farm = 5 km
The bearing of the cottage from Manu's farm = 110°
The distance Manu walks from the cottage to his farm = 3 km
Required:
The distance and between the two farms.
Solution:
Please find attached a drawing showing the position of the cottage
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)Where;
b = The distance Dogbe walks from the cottage to his farm = 5 km
c = The distance Manu walks to his farm from the cottage = 3 km
a = The distance between the two farms = d
A = The angle between the paths to the cottage from the farms = 50°
By plugging in the values, we have;
d² = 5² + 3² - 2 × 5 × 3 × cos(50°)
d = √(5² + 3² - 2 × 5 × 3 × cos(50°)) ≈ 3.8
The distance between the two farms, d ≈ 3.8 kmRequired:
The bearing of Manu's farm from Dogbe's
Solution:
By sine rule, we have;
[tex]\displaystyle \frac{3}{sin(C)} = \mathbf{ \frac{d}{sin(50^{\circ})}}[/tex]Which gives;
[tex]\displaystyle sin(C) = \mathbf{\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} }}[/tex]
[tex]\displaystyle \angle C = arcsine \left(\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} } \right) \approx 38 ^{\circ}[/tex]
The bearing of Manu's farm from Dogbe's = 200° + ∠C
Therefore;
The bearing of Manu's farm from Dogbe's ≈ 200° + 38 = 238°Learn more about bearings in mathematics here:
https://brainly.com/question/10710413
What is the solution to the equation?
a+5 2/3=9
Answer:
A= 3 1/3
Step-by-step explanation:
5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)
Here is ur answer
- BRAINLIEST answerer
5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points
Step-by-step explanation:
hi
plz help :)))) i need asap
Answer:
IJM and NMJ
Step-by-step explanation:
They're on alternate sides and on the interior of the complex.
Answer:
<IJM and <NMJ
Step-by-step explanation:
Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.
In this case they correspond to <IJM and <NMJ
Please Help! NO LINKS !!!!!
Answer:
I'll try to help gimme a min
Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.
Answer:
x>2 or (2,∞)
Step-by-step explanation:
if x≤2, 3*|2-x| = 3*(2-x) = 6-3x
3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0
if x>2, 3*|2-x| = 3*-(2-x) = -6+3x
3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0
Find the Area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer: 15!
Step-by-step explanation:
You do 1/2 x (5=base) x (6= height)
name the congruent triangles
will give brainliest
Answer:
ΔOGD ≅ΔPRC
Step-by-step explanation:
SAS
how to solve | k-10 | = 3
Answer:
k=7 or k=13
Step-by-step explanation:
I I is absolute value
Ik-10I=3 I13-10I=3 k=13
Ik-10I=33 I7-10I=3 I7-10I=-3 I-3I=3 k=7
a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answer:
There would be 12
Step-by-step explanation:
What is the x-intercept of the line with this equation 1/3x + y =-15?
Enter your answer in the box.
( ,0)
Answer:
(-45,0)
Step-by-step explanation:
what is the answer to 5+9
Answer:
14
put the biggest number in the from and the smallest number in the back then add it
make a conjecture (prediction) about the table. what will happen if we continue the table, going down?
Which statement is true?
A. 4.273 > 4.289
B. 5.306 > 5.360
C. 6.724 > 6.719
D. 7.428 < 7.423
Answer:
C
Step-by-step explanation:
6.724 is larger than 6.719
solve pls brainliest
Answer:
Yes, This is a repeating decimal
No, This is a decimal that neither terminates or repeats
No, This is a decimal that neither terminates or repeats
Yes, This is a terminating decimal
At midnight, the temperature was - 5°C.
At midday, the temperature was 7°C.
Work out the temperature which is halfway between -5°C and 7°C
Answer: 12 °C
Step-by-step explanation:
The difference between -5 and +7 is (7 - (-5)) = 12 °C.
if my perimeter is 17 then how much is n in this question/photo?
Answer:
hope it helps you........
8x+y= -16
-3x+y= -5
Elimination Hard. Write the System of Equations in Section #5 on your lined paper.
Multiply one of the equations by a (-1), so that the coefficients in both equations will be opposites.
- Solve the System of Equations using Elimination.
Enter your answer as (___,___)
Answer:
dude i have the same question
Step-by-step explanation:
WHAT IS THE ANSWER
e
Week 6: Culmination Knowledge Check
CLEAR MY CHOICE
Question 8
You buy milk in 1-gallon containers. One portion of waffles requires 2 ounces of milk. How many portions can be made with one container? Select one
a 128
b. 16
c. 32
d. 64
CLEAR MY CHOICE
Question 9
You have 24 quarts of brown stock. You need 75 cups to make one serving of kidney beans. How many servings can you make? Select one
I got an questions for y'all, see if y'all can what do can an cow with no legs
Answer:
eat it can only eat the things around it
Step-by-step explanation:
a cow with no legs has a hard life due to their lack of legs they cant walk or run meaning the cant get water and they can't run away from Predator's
2. The delivery trucks are all different sizes. That means the workers have to change the number of boxes that go on a truck. Three small delivery trucks can hold 330 boxes. If the same number of boxes is in each truck, how many boxes can one small delivery truck hold?
Answer:
Each small truck can hold a total of 110 boxes.
Step-by-step explanation:
It says three small delivery trucks can hold 330. That meant all three together. So you just have to do 330 divided by 3 and you get 110. So that's the number of boxes ONE small truck can hold. Also, If u do it backward, 3 x 110 =330.
help Pleasee asap !!
A = 1 and B = 5
3a + 11 = 14 || 3a = 3 || a = 1
7b - 13 = 22 || 7b = 35 || b = 5
Answer:
A= 1
B = 5
Step-by-step explanation:
3a + 11 = 14
A = 1
7b - 13 = 22
7b = 35
B = 5
A sum of money is shared in the ratio 3:7.
If the smaller share is $450, what is the
8
larger share?
(A) $315
(B) $1050
$1500
(D)
$3150
| (C)
Answer:
B) $1050
Step-by-step explanation:
[tex]450(7/3)=(450)(7)/3=3150/3=1050[/tex]
Hope this helps
A polygon on a coordinate grid was transformed using (x,y) (x-4,y-3 whats the transformation
Answer:
A. A translation 4 units to the left and 3 units down.
Step-by-step explanation:
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Answer:
C. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
You plan on joining a gym. The joining fee is $30 and you must pay $12 a month fee. If you have $100, how many months can you use the gym? Write and solve an inequality to represent the solution.
I need the process for this otherwise I won't get credit for it!!
Answer:
Inequality: 30+12x < 100
x ≈ 5 months
Step-by-step explanation:
To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.
This makes the inequality: 30+12x < 100
To find the number of months solve the inequality for x.
30+12x<10012x<70x<5.8So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.
For what value of x is d || e? Then find the measure of the labeled angles.
Answer:
THAT QUESTION WILL BE ANSWERED THIS SUNDAY NIGHT!
Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
Identify the restrictions on the domain of f(x) =
X +5
X-2
Ox#5
OX-5
Ox=2
Ox= -2
solve for n.
-3n + 2 = 23
Answer:
Step-by-step explanation:
-3n + 2 = 23
Bringing like terms on one side
-3n = 23 - 2
-3n = 21
n = 21/ - 3
n = - 7
Answer:
Step-by-step explanation:
-3n + 2 = 23
Bringing like terms on one side
-3n = 23 - 2
-3n = 21
n = 21/ - 3
n = - 7
