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Kitty [74]
3 years ago
12

Question 4

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Using the distributive property of multiplication:

3(5 + 8)

15 + 24

g100num [7]3 years ago
4 0
A, 3x5=15 and 3x8=24
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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
What is 6 to the second power divided by two times three plus four?
mart [117]
6² ÷ 2 × 3 + 4

=36/2(3)+4

=(18)(3)+4

=54+4

=58


8 0
3 years ago
What is the length of the other diagonal DF?<br> 5 cm<br> 16 cm <br> 21 cm <br> 32 cm
frez [133]
To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.

3 0
3 years ago
Read 2 more answers
24% is 7kg.What is 40%?
Bas_tet [7]

Answer:

18.1437

Step-by-step explanation:

divide the mass value by 2.205

3 0
3 years ago
In triangle EFG , EF=FG . EF= 6X-10 , EG =2X+14, and FG =3X+11. find EF .
jarptica [38.1K]
Since EF=FG, you can set 6x - 10 = to 3x +  11

6x -10 = 3x +11

Then add like terms

6x - 3x = 11+10

so, 3x = 21

Now you can divide by 3 to get x = 7 :)

then put it back into 6x - 10

6(7) - 10 = EF

so, EF = 32
4 0
3 years ago
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