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Bess [88]
2 years ago
13

Round each factor to the nearest ten to estimate the product of 34 . 39

Mathematics
1 answer:
aev [14]2 years ago
3 0

Answer:

Round 34 down to 30 then round 39 up to 40

Step-by-step explanation:

34 ⟶ 30 34 is rounded down to 30

39 ⟶ 40 39 rounded up to 40

34 ⟶ 30

39 ⟶ 40

34 is rounded down to 30

39 rounded up to 40

Calculate mentally 34 × 39 =  1326

The estimated product is 1326.

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(5,22) as a fraction
CaHeK987 [17]
The answer to 5,22 as a fraction  is 5/22
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Type the correct answer in the box. Spell all words correctly.
Crank

The comlete question with the diagram is in the picture attached.

Answer:

Point   \boxed{\text{   E    }}   is the vertex of the angle marked in the figure.

Explanation:

When two lines intersect each other they will form an <em>angle</em> and the intersection point will be the <em>vertex of the angle</em>.

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3 0
3 years ago
The sum of two numbers is 21. Three times the larger is equal to four times the smaller.
MatroZZZ [7]
Answer x = 12 and y = 9
Step by step
First identify the equations
The sum of two numbers is 21
x + y = 21
Change to y intercept for ease of math
y = 21 - x ( call this equation a)
Three times the larger is equal to four times the smaller
3x = 4y (call this equation b)
Now substitute the value of y = 21 -x into equation b
3x = 4(21-x)
Distribute
3x = 84 - 4x
Now we want to isolate x by adding 4x to each side
3x + 4x = 84 -4x + 4x
Combine like terms
7x = 84
Now solve for x by dividing both sides by 7
x = 12

Now to find y
Using equation a from above
y = 21 - x
Substitute our x value of 12 into equation
y = 21 - 12
solve for y
y = 9
Now check your work
x = 12 and y = 9
The sum of two numbers is 21
12 + 9 = 21

Three times the larger (x) is equal to four times the smaller (y)
3x12 = 4x9
36 = 36
Problem solved!!
8 0
1 year ago
What must the radius of C be for PR to be tangent to it at Q?
Setler79 [48]

Answer:

D. 8

Step-by-step explanation:

Draw segment CQ which will be perpendicular to tangent PR.

So, triangle CQR will be right angled triangle right angle at Q.

Let radius of the circle be r.

Therefore,

CQ = CS = r

By Pythagoras Theorem:

{(r + 9)}^{2}  =  {r}^{2}  +  {15}^{2}  \\  \\  {r}^{2}  + 18r + 81 =  {r}^{2}  + 225 \\  \\ 18r = 225 - 81 \\  \\ 18r = 144 \\  \\ r =  \frac{144}{18}  \\  \\ r = 8

5 0
3 years ago
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