Answer:
x = 7
Step-by-step explanation:
Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.
Using Pythagoras theorem, we have
8^2 = x^2 + 3^2
8 x 8 = x^2 + 3 x 3
64 = x^2 + 9
Subtract 9 from both sides
64 - 9 = x^2 + 9 - 9
55 = x^2
X^2 = 55
x = squared root of 55
x = 7.4
x = 7
Answer:
90°
Step-by-step explanation:
Arc a subtends and angle of 45° to the circumference of the circle
We know that;
An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.
Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;
a will be = 45 × 2
= 90°
Hey there! :D
Let's assume that 100,000 is 100%. Now, we have to find what 6% of 100,000 is.
We can do this step by step.
First, figure out what 1% of 100,000 is. To find 1% of a number, move the decimal place 2 places to the left.
So, when we move the decimal 2 places to the left, we have 1000.00. Basically, we have 1000.
So, 1000 is 1% of 100,000. Now, to find 6%, multiply 1000 by 6. So, 1000 multiplied by 6 is 6000. The final answer is 6000. The realtor earns 6000 dollars.
Thank you! Hope it helped!
<em>The question doesn't ask anything in particular, I will show the set of inequalities defined in the problem.</em>
Answer:
<em>System of inequalities:</em>
Step-by-step explanation:
<u>Inequalities
</u>
The express relations between expressions with a sign other than the equal sign. Common relationals are 'less than', 'greater than', 'not equal to', and many others.
The gardening club at school has 300 square feet of planting beds to plant cucumber and tomato. Each cucumber plant requires 6 square feet of growing space and each tomato plant requires 4 square feet of growing space. We know the total area cannot exceed 300 square feet, so
Being c and t the number of cucumber and tomato plants respectively.
We also know the students want to plant some of each type of plant and have at least 60 plants. This lead us to more conditions
<em>Note: The set of inequalities shown is not enough to uniquely solve the problem. We need something to maximize or minimize to optimize c and t</em>
Step-by-step explanation:
SA=ph+2A, that is, perimeter × height+ twice area
p=21+20+29=70cm
h=22cm
70×22=1540cm
A=1/2 ×20×21=210×2=420
1540+420=1960cm2
