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Vlad [161]
4 years ago
7

Help me with this question

Mathematics
1 answer:
timama [110]4 years ago
5 0

Answer:

15 square units

Step-by-step explanation:

5*3=15

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Please help me if you are thankful for everything here is the picture
mart [117]

Answer:

The value of x in centimeters is 22.5 cm

Step-by-step explanation:

The corresponding sides of the similar triangles are proportion which means have equal ratios

∵ Δ ABC is similar to Δ FGH

∵ AB and FG are corresponding sides

∵ BC and GH are corresponding sides

∵ AC and FH are corresponding sides

→ That means the ratios between them are equal

∴ \frac{AB}{FG}  =  \frac{BC}{GH}  =  \frac{AC}{FH}

∵ AB = 6 cm and FG = 15 cm

∵ BC = 5 cm and GH = 12.5 cm

∵ AC = 9 cm and FH = x

→ Substitute them in the rule above to find x

∴ \frac{6}{15}  =  \frac{5}{12.5}  =  \frac{9}{x}

→ By using cross multiplication with the 1st and 3rd ratios

∵ 6 × x = 15 × 9

∴ 6x = 135

→ Divide both sides by 6 to find x

∵ \frac{6x}{6} = \frac{135}{6}

∴ x = 22.5 cm

∴ The value of x in centimeters is 22.5 cm

3 0
3 years ago
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate, how long will it take the athlete to run 9 miles? *
I am Lyosha [343]

Answer:

50 minutes = 50/60 hours = 0.8333333333 hours

8 miles / 0.8333333333 hours = 9.60 miles per hour

9 miles / 9.60 miles per hour =

0.9375 hours = 56.25 minutes




Step-by-step explanation:


8 0
4 years ago
Read 2 more answers
Simplify the following expression: (sin x + cos x)^2
guajiro [1.7K]

Answer:

1 + sin2x

Step-by-step explanation:

Given

(sinx + cosx)² ← expand using FOIL

= sin²x + 2sinxcosx + cos²x

[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]

= 1 + sin2x

4 0
3 years ago
Read 2 more answers
Help? i mark brainlist :)
Nina [5.8K]

Answer:

There are 25 students in the class.

Step-by-step explanation:

In order to find the number of students in the class, you can add the number of data points together. Because the name of each person will only be recorded once and only to one data value, that means by adding the total number of data points collected, you can find out the number of students in the sixth-grade class. There are three data points on 3, two data points on 4, five data points on 5, eight data points on 6, two data points on 7, one data point on 8, and four data points on 9, this means the total number of students will be 3 + 2 + 5 + 8 + 2 + 1 + 4 = 25 students, so this will be your answer.

7 0
3 years ago
1) John is a mountaineer. He went on a long hike. He
Galina-37 [17]

Answer:

1,250 feet.

Step-by-step explanation:

1500-250=1250

8 0
3 years ago
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